What is an equation of the line that passes through the points (5,-4) and
(-5,4)

Answers

Answer 1

The equation of the line will be 8x+10y=0

The equation of a line when two points are given is

y-y₁=m(x-x₁)

where,m=(y₂-y₁)/(x₂-x₁)

Here, m=(4--4)/(-5-5)

            =8/-10

Now,

 y-(-4)  = (8/-10)(x-5)

-10y-40=8x-40

8x+10y=0

The equation is 8x+10y=0

To know more about equation of a line, refer this link

https://brainly.com/question/11429041?referrer=searchResults


Related Questions

Before putting toppings on a pizza the pizza maket must use sauce to make a circle on the own on the pizza dough leaving 1 in right of doigh around the pizza shown on the digram

Answers

No cooking is necessary for pizza sauce. Simply combine tomato sauce with the seasonings (basil, oregano, and garlic), then add salt to taste to create a no-cook version.

What Do you need to heat pizza sauce before putting it on pizza?In addition to having a delicious flavor, this recipe's strongest feature is the use of straightforward but flavorful ingredients that you most likely already have in your cupboard. You will require the following:The foundation of this straightforward dish is basic tomato sauce (not paste). Make sure to use plain tomato sauce for this recipe since you'll be adding your own seasoning. Hunt's, Muir Glen, Contadina, and 365 are a few names I enjoy on products (Whole Foods).Using dried basil, oregano, garlic, and red pepper flakes, this dish combines several traditional pizza seasonings (which you can skip for a milder sauce).For this recipe, you may either use fresh garlic or garlic powder. Try both methods and decide which you like best by trying both.Cheese: I like to add a little Parmesan to my sauce, even though it's not customary. It provides a delightful depth of umami flavor. Verify that the cheese is freshly shredded! Too dry to melt into the sauce, the packaged goods are inedible. Missing Parm? In a pinch, you could always omit the cheese (or substitute vegan cheese), and the dish would still be excellent.Kosher salt is best for this dish, in my opinion (and for almost everything else you cook). It is far superior to regular table salt in terms of its crisp flavor.

To Learn more About  pizza  Refer To:

https://brainly.com/question/29481309

#SPJ1

Please help !!! Look at photo!!! I’m being timed I’ll pay u!

Answers

The value of x is = -0.5, for the equation [tex]$$ e^x \times e^{x+1}[/tex], after converting it to logarithm form.

What is logarithm?

The inverse function to exponentiation in mathematics is called the logarithm. In other words, to produce a number x, b must be raised to an exponent equal to the logarithm of x to the base b. Assuming that 1000 = 10³, for instance, the logarithm of 1000 in base 10 is 3, or log10 (1000) = 3.

When there is no possibility of confusion or when the base is irrelevant, such as in big O notation, the logarithm of x to base b is written as logb (x), logb x, or even without the explicit base, log x.

When multiplying two powers of the same base, the exponents are added.

= [tex]$$ e^x \times e^{x+1}[/tex]

= [tex]$$ e^{x + x+1}[/tex]

= [tex]$ \text e^{2x+1}[/tex]

=  [tex]$ \text e^{2x+1}[/tex] = 1

Convert to logarithm form

[tex]\log_e(1) = 2x+1[/tex]

Solve the equation

Isolate the variable by dividing each side by factors that don't contain the variable.

[tex]$\text x = -\frac{1}{2}[/tex]

x = -0.5

Learn more about logarithm form

https://brainly.com/question/10541844

#SPJ1

7 is what percent of 3500?

Answers

0.2% of 3500 is equal to 7

What is percent?

A percentage is a number or ratio that can be expressed as a fraction of 100.

Given that, 7 is what percent of 3500

Let 7 be the x% of 3500,

Therefore,

x% of 3500 = 7

x/100 × 3500 = 7

x = 1/5

1/5 = 0.2

Hence, 7 is 0.2% of 3500

For more references on percent, click;

https://brainly.com/question/28840349

#SPJ1

Line a is represented by the equation y=−2x+3. How do these equations compare to line a? Drag and drop the equations into the boxes to complete the table. Put responses in the correct input to answer the question. Select a response, navigate to the desired input and insert the response. Responses can be selected and inserted using the space bar, enter key, left mouse button or touchpad. Responses can also be moved by dragging with a mouse. Parallel to line a Perpendicular to line a Neither parallel nor perpendicular to line a

Answers

y = −2x+3 is Neither parallel nor perpendicular to line a.

y = −2x+5 is Parallel to line a.

y = (1/2)x+7 is  Perpendicular to line a

How to determine how two equations compare to a line?

The slope-intercept form of the equation a straight line is:

y = mx + c,

where m is the slope and c is the y-intercept

When two lines are perpendicular, the product of their slope is -1 i.e.

m₁ × m₂ = -1

where m₁ and m₂ represent the slope of the lines

But when two lines are parallel, they have the same slope i.e.

m₁ = m₂

Let's examine the equations:

Line a, y = −2x+3

y = 2x-1

y = −2x+5

y = (1/2)x+7

For Line a and  y = 2x-1:

Comparing their slopes. So y = −2x+3 is Neither parallel nor perpendicular to line a

For Line a and y = −2x+5:

They have the same slope (-2). So y = −2x+5 is Parallel to line a

For Line a and y = (1/2)x+7:

(1/2) × −2 = -1.  The product of their slope is -1 (i.e. 1/2 × −2 = -1 ). So  y = (1/2)x+7 is  Perpendicular to line a

Learn more about equation of a line on:

brainly.com/question/12626026

#SPJ1

Music player A: y= 191x-32
Music player B: y=-x^2+200x+20
A.On what days did the company sell the same number of each player?
B. How many players were sold on that day?

Answers

The day in which this company sold the same number of each player is on the 13th day.

The number of players on the 13th day is 2,451 players.

How to determine the days?

In order to determine the days in which this company sold the same number of each player, we would have to equate the linear equation representing Music player A to the quadratic function representing Music player B and then solve for the value of x.

By equating equation 1 and equation 2, we have the following:

y = 191x - 32             .........equation 1.

y = -x² + 200x + 20     ......equation 2.

191x - 32 = -x² + 200x + 20

x² - 200x - 20 + 191x - 32 = 0

x² - 9x - 52 = 0

Next, we would solve the above quadratic equation by using the factorization method;

x² - 13x + 4x - 52 = 0

x(x - 13) + 4(x - 13) = 0

(x + 4)(x - 13) = 0

x = -4 or 13 days.

Therefore, the company sold the same number of each player on the 13th day.

For the number of players, we have:

y = 191x - 32

y = 191(13) - 32

y = 2,483 - 32

y = 2,451 players.

Read more on quadratic functions here: brainly.com/question/13159926

#SPJ1

Can you add constants in an algebraic exspression

Answers

It is possible to add constants in an algebraic expression. A constant is simply a number and it can be added or subtracted from any algebraic expression just like a variable. This is true.

How to illustrate the information?

For example, consider the algebraic expression 2x + 3. If we want to add a constant c to this expression, we can do so by adding c to both sides of the equation:

The resulting expression is 2x + 3 + c. This new expression represents the same mathematical relationship as the original expression, but with an additional constant term.

It's also important to note that constants can be added, multiplied and divided to an algebraic expression and the resulting expression is still algebraic.

Also, it is important to note that adding a constant to an expression doesn't change the variable, it only changes the constant part of the equation.

Learn more about constant on

https://brainly.com/question/723406

#SPJ1

Find the value of x in the triangle shown below. .

Choose 1 answer:

A = 80
B = 48
C = 132
D = 12

Answers

D) The value of x is 12 units in the triangle shown below:

The value of the base of a right angled triangle, given the length of the hypotenuse is 13 units and the length of the perpendicular is 5 units, is 12 units.

This can be determined by using the Pythagorean Theorem, which states that the square of the length of the hypotenuse of a right angled triangle is equal to the sum of the squares of the lengths of the other two sides (a^2 + b^2 = c^2). In this case, the hypotenuse is 13 units long, and the perpendicular is 5 units long,

so the equation would be: a^2 + 5^2 = 13^2, which can be simplified to: a^2 = 169-25 = 144. Therefore, a = √144 = 12.

To know more about Pythagorean Theorem click below:

https://brainly.com/question/14930619#

#SPJ4

Complete question :

Find the value of x in the triangle shown below. .

Choose 1 answer:

A = 80

B = 48

C = 132

D = 12

Can someone help me out with this question fast!?!?!

Answers

x > 1200 and x < 1600; Patrice needs to consume more than 1200 calories, but less than 1600 calories.

The 1st option is the answer

How to solve for x in the inequality, and explain what the answer represents?

Given that: Patrice is trying a low-calorie diet. She would like to keep her calories consumed between the levels shown in the following compound inequality: 2450 < 2x + 50 and 2x + 50 < 3250.

Solve the two inequalities separately:

2450 < 2x + 50

2450 - 50 < 2x

2400 < 2x

1200 < x

x > 1200

2x + 50 < 3250

2x < 3250 - 50

2x < 3200

x < 1600


Therefore, Patrice needs to consume more than 1200 calories (i.e. x > 1200), but less than 1600 calories  (i.e. x < 1600).

Learn more about inequality on:

brainly.com/question/25275758

#SPJ1

Can any one help pls

Answers

Property of equality for

16 = 16 is reflexive property. Answer G.7 + (a + b) = (7 + a) + b is associative property. Answer B.(4y + 1) . 0 = 0 is the property of zero. Answer F.If 5 . 2 = 10 and 10 = √100, then 5 . 2 = √100 is transitive property. Answer I.-2 (x - y) = - 2x + 2y is distributive property. Answer C.3 × (1/3) = 1 is inverse property. Answer E.If 8x = 24, then 24 = 8x is symmetric property. Answer H.(2 + 1) + 9 = (1 + 2) + 9 is commutative property. Answer A.6m . 1 = 6m is identity property. Answer D.

Property of equalities

Commutative property
The rules
A + B = B + A
A × B = B × A
#8 (2 + 1) + 9 = (1 + 2) + 9
Because 2 + 1 = 1 + 2Associative property
Rules
(A + B) + C = A + (B + C)
(A × B) × C = A × (B × C)
#2 7 + (a + b) = (7 + a) + bDistributive property
Rules
A × (B + C) = (A × B) + (A × C)
A × (B - C) = (A × B) - (A × C)
#5 -2 (x - y) = - 2x + 2y
    -2 × (x - y) = (- 2 × x) + (2 × y)Identity property
Rules
M + 0 = 0 + M = M
M × 1 = 1 × M = M
#9 6m . 1 = 6m
6m × 1 = 6m Inverse property
Rules
R + (- R) = 0
R × (1/R) = 1
#6 3 × (1/3) = 1Property of zero
Rules
Q + 0 = 0 + Q = Q
Q × 0 = 0 × Q = 0
#3 (4y + 1) . 0 = 0
    (4y + 1) × 0 = 0Reflexive property
Rules K = K
#1 16 = 16Symmetric property
Rules
If p = q then q = p
#7 If 8x = 24, then 24 = 8xTransitive property
Rules
If p = q and q = r then p = r
#4 If 5 . 2 = 10 and 10 = √100, then 5 . 2 = √100.

Learn more about Property of equality here: https://brainly.com/question/28749372

#SPJ1

Determine the degree measure of one angle of a 30-sided regular polygon. 5,400° 5,040° 180° 168°

Answers

So, the degree measure of one angle of a 30-sided regular polygon is 5,040°.

The degree measure of an angle is a measure of the size of the angle, in degrees. Angles are typically measured in degrees, with a full circle being 360°. The degree measure of an angle can range from 0° to 360°, with smaller angles having a degree measure between 0° and 90°, right angles having a degree measure of 90°, and larger angles having a degree measure between 90° and 360°.

To find the degree measure of one angle of a 30-sided regular polygon, we can use the formula:

angle measure = (n-2) * 180° / n

where n is the number of sides in the polygon. Plugging in n = 30, we get:

angle measure = (30-2) * 180° / 30 = 28 * 180° / 30 = 5,040°

Therefore, the degree measure of one angle of a 30-sided regular polygon is 5,040°. The correct answer is therefore 5,040°.

To learn more about degree measure,

visit; brainly.com/question/17106565

#SPJ4

The degree measure of One angle of a 30 sided regular polygon is 168°

Now, According to the question:

We know that:

Sum of Angles of a Polygon:-

A regular polygon has all its sides of equal length. All the interior angles of a regular polygon are also equal. The sum of interior angles of a n sided polygon is given as:

                     (n - 2) × 180°

Let the number of sides of the given polygon be n

but, Value of n = 30 (given)

We will use the side-angle relation of a regular polygon with any no. of sides to find total sum of interior angles that is

(Side - 2) × 180°

(30 - 2) × 180°

= 5040°

Measure of each angle of 30-gon

= 5040°/30

= 168°​

Hence,  the degree measure of One angle of a 30 sided regular polygon is 168°​

Learn more about Regular polygon at:

https://brainly.com/question/29722724

#SPJ4

14. What is Descartes's number?
100 times my number is 45.3 more than 3,000. What is the number?

Answers

Descartes' number is 30.453 while mine is 45.3 times higher than 3,000 when multiplied by 100.

what is Descartes's number ?

When m and p are coprime numbers and 2n = (m) (p + 1), where p is regarded as a "spoof" prime, the result is an odd number, which is known as a Descartes number. The provided example is the sole one that is currently known. A number that comes very near to becoming the ideal number is known as a Descartes number in mathematics. They are called after René Descartes, who noted that the number D, which is 32, 72, 112, 132, 22021 (which equals 198585576189), would be an odd perfect number if only 22021 were a prime number, because the sum-of-divisors function for D is satisfied.

given

n = (3000+45.3)/100

=     n = 3045.3/100

=     n = 30.453

Descartes' number is 30.453 while mine is 45.3 times higher than 3,000 when multiplied by 100.

To know more about Descartes's number visit :-

https://brainly.com/question/28368010

#SPJ1

A pet store has n tanks of fish. Each tank has 22 fish. Using n, write an expression for the total number of fish in the store.

Answers

An expression for the total number of fish in the store is 22n.

How to illustrate the expression?

It is important to note that an expression is simply used to show the relationship between the variables that are provided or the data given regarding an information.

Some of the mathematical operations that are illustrated in this case include addition, subtraction, etc. Since the pet store has n tanks of fish. Each tank has 22 fish. Using n, an expression for the total number of fish in the store will be

= 22 × n

= 22n

Learn more about expressions on

brainly.com/question/723406

#SPJ1

BC¯¯¯¯¯ is parallel to DE¯¯¯¯¯. What is AC? Enter your answer in the box. units A triangle with vertices labeled as A, D, and E. Side D E is the base and the top vertex is A. Sides A D and A E contain midpoints B and C, respectively. A line segment is drawn from point B to C. Side A B is labeled as 8. Side B D is labeled as 10. Side C E is labeled as 15.

Answers

Side AC is computed s by applying similar triangles to give 12

What are similar triangles?

This is a term used in geometry to mean that the respective sides of the triangles are proportional and the corresponding angles of the triangles are congruent

Hence assuming the corresponding angles of the triangle are congruent then the side should be in proportions

From the description, pair of equivalent sides are

AB and BD, AC and CE

The solution is worked out using sides AB and BD, AC and CE

AB / BD = AC / CE

where

AB = 8

BD = 10

CE = 15

AC = ?

8 / 10 = AC / 15

cross multiplying

8 * 15 = 10 * AC

AC = 8 * 15 / 10

AC = 12

hence  AC is 12

Learn more about similar triangles here:

https://brainly.com/question/29333623

#SPJ1

Can you help me with this

Answers

The equation of the linear graph is y = x-2

What is linear equation?

A linear equation is an algebraic equation of the form y=mx+c. involving only a constant and a first-order (linear) term, where m is the slope and c is the y-intercept. Linear equation can also be defined as an equation with the highest power of the variable to be 1.

on the graph, the y intercept is the point where the graph line crosses the y axis. Therefore the y intercept is -2

The slope of the line = 0-(-2)/2-0

slope = 2/2 = 1

therefore the equation of the graph is ;

y = mx+c

y = x+(-2)

y = x-2

therefore the equation of the linear graph = y = x-2

learn more about linear equation from

https://brainly.com/question/4074386

#SPJ1

d. 7+4
7
4 how do you guys solve these problem

Answers

Each fraction must first be transformed into its simplest form.Hence, The  problem can be solved in this way.

Second, improper fractions ought to be added to an integer and a proper fraction to get their original improper fraction. The second step is usually optional because it only improves the aesthetics of the situation. If you take this action, it is wise to add the expression's fractions and integers separately.After determining the lowest common multiple of each fraction's denominator, each fraction must then be represented by multiplying a suitable number by the denominator and numerator, ensuring that all fractions have the same denominator.The solution is a fraction with the sum of the numerators in the expression as the numerator and the L.C.M. as the denominator.

To know more about Fractions here

https://brainly.com/question/78672

#SPJ1

What is the first step in solving the equation 20 = 6x
= 6x - 4 solving for x? (1 point)
O Subtract 4 from both sides.
O Subtract 20 from both sides.
O Divide both sides by 6.
O Add 4 to both sides.

Answers

You add 4 to both sides

Which of the following is a solution of x2 + 4x + 10 = 0? (1 point)

a. 2 + i times the square root of 6
b. −2 + i times the square root of 24
c. −2 + i times the square root of 6
d. 2 + i times the square root of 24

Answers

Answer:

C.

Step-by-step explanation:

Mr. Sanders bought a 19 pound turkey for thanksgiving. The total cost of the turkey was 26.65.What was the cost of the turkey per pound?

Answers

Answer:

1.40263157895 per pound

Step-by-step explanation:

26.65 divided by 19 = 1.40263157895

Answer:

£1.40 per pound

Step-by-step explanation:

26.65 divided by 19 = 1.40263157895

1.40263157895 rounded is 1.40

So its £1.40 per pound

Hope this helps! :)

Which dashed lines do not create a symmetric figure when the figure is folded on
the dashed line?
Check all that are true.
Ob
U

U
С
a
e
d

Answers

The dashed lines b,c,d and e do not create a symmetric figure when the figure is folded on.

What is a right-angle triangle?

It is a triangle in which one of the angles is 90 degrees and the other two are sharp angles. The sides of a right-angled triangle are known as the hypotenuse, perpendicular, and base.

when the figure is folded on the dashed line "a", it will create a symmetric figure.

When the figure is folded on other dashed lines, they will not create a symmetric figure.

The dashed lines b,c,d and e do not create a symmetric figure when the figure is folded on.

To learn more about the right-angle triangle here:

brainly.com/question/3770177

#SPJ1

Your friend is trying to grow her hair. The table shows their hair lengths y (in inches) in different months x. a. Write a system of linear equations that represents this situation.

Answers

A system of linear equations that represents this situation include the following:

y = 0.5x + 2.5

y = 0.5x + 5.5

How to write the required system of linear equations?

In order to write the required system of linear equations, we would have to determine the slope for your friend and cousin respectively as follows;

y - y₁ = m(x - x₁)

Where:

m represents the slope.x and y are the points.

Substituting the given parameters into the point-slope formula, the equation for your friend's hair is given by;

y - y₁ = m(x - x₁)

y - y₁ = (y₂ - y₁)/(x₂ - x₁)(x - x₁)

y - 4 = (6.5 - 4)/(8 - 3)(x - 3)

y - 4 = 2.5/5(x - 3)

y - 4 = 0.5x - 1.5

y = 0.5x - 1.5 + 4

y = 0.5x + 2.5

Also, the equation for your cousin's hair is given by;

y - y₁ = (y₂ - y₁)/(x₂ - x₁)(x - x₁)

y - 7 = (9 - 7)/(8 - 3)(x - 3)

y - 7 = 2/5(x - 3)

y - 7 = 0.5x - 1.5

y = 0.5x - 1.5 + 7

y = 0.5x + 5.5

Read more on slope here: brainly.com/question/23086745

#SPJ1

pls help me with this

Answers

The required maximum and minimum x-values are 4 and 1 respectively and maximum and minimum y-values are 4 and 0 respectively.

What is inequality?

Inequality can be defined as the relation of the equation containing the symbol of ( ≤, ≥, <, >) instead of the equal sign in an equation.

here,
Graph of the inequalities 4x - 2y ≤8, x ≥ 1 and 0 ≤ y ≤ 4 has been shown, the red dotted quadrilateral shows the solutions of the given inequalities, From the graph maximum and minimum x-values are 4 and 1 respectively and maximum and minimum y-values are 4 and 0 respectively.

Thus, the required maximum and minimum of the given inequalities exist.

Learn more about inequality here:

brainly.com/question/14098842

#SPJ1

Solve for the missing angle

Answers

The measure of missing angle is 65°.

What is angle sum property of a triangle?

Angle sum property of triangle states that the sum of interior angles of a triangle is 180°.

From the given triangle 68°, 47° and the missing angle is x.

By angle sum property of triangle, we get

68°+47°+x=180°

115°+x=180°

x=65°

Therefore, the measure of missing angle is 65°.

To learn more about the angle sum property of a triangle visit:

https://brainly.com/question/8492819.

#SPJ1

Points M, R, P, Q, and N all lie on a straight line. Point P is the midpoint of segment MIN.
As well, point Q is the midpoint of segment PN. Finally, point R is the midpoint of segment MQ. If the length of MN is 24 units, which of the following is the length of MR?

Answers

Answer:

the length of MR is 53 units bro

olygons
21
Select the correct answer from each dropdown menu.
AABC has vertices of A(-2,5), B(-4,-2), and C(3,-4).
The length of AB is
The length of BC is
The length of AC is
Therefore, the triangle is
Reset
Next
>

Answers

The triangle is isosecles. AB=BC=√53 units, AC=√106 units

Given the coordinates of ABC: A(-2,5), B(-4,-2), and C(3,-4).

What is distance formula?

To find the length of each side of the triangle, we use the distance formula:

[tex]Distance=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

Length of AB:

[tex]\begin{gathered} AB=\sqrt[]{(-2-5)^2+(-4+ 2)^2} \\ =\sqrt[]{(-7)^2+(-2)^2} \\ =\sqrt[]{49+4} \\ =\sqrt[]{53}\text{ units} \end{gathered}[/tex]

Length of BC:

[tex]\begin{gathered} BC=\sqrt[]{(-4 + 2)^2+(3 + 4)^2} \\ =\sqrt[]{(-2)^2+(7)^2} \\ =\sqrt[]{49+4} \\ =\sqrt[]{53}\text{ units} \end{gathered}[/tex]

Length of AC:

[tex]\begin{gathered} AC=\sqrt[]{(-4 - 5)^2+(3 + 2)^2} \\ =\sqrt[]{(-9)^2+(5)^2} \\ =\sqrt[]{81+25} \\ =\sqrt[]{106}\text{ units} \end{gathered}[/tex]

The lengths of the side of the triangle are;

AB=BC=√53 units, AC=√106 units

Learn more about distance formula;

https://brainly.com/question/29047389

#SPJ1

Whats the answer to 1 and 1 half + 3 and 3 fourths

Answers

Easiest way to do this is changed your mixed numbers into improper fractions then add. So 1 and 1 half would be 3/2. 3 and 3 fourths would be 15/4. Find the Least common dominator. The answer is 21/4 or 5 and 1/4

While answering this question, please give me an explanation of everything you did in words. 55 points and I’ll give brainiest!

If a bullet is shot straight up with an initial velocity of 48 feet per second, its height s after t seconds is given by the
equation s=-16t^2 +48t. Solve for the time it takes for the bullet to return to the ground. Show your work and explain
the steps you used to solve.

Answers

It will takes 3 seconds for the bullet to return to the ground.

What is an equation?

An equation is an expression that shows the relationship between two or more numbers and variables.

A mathematical equation is a statement with two equal sides and an equal sign in between. An equation is, for instance, 4 + 6 = 10. Both 4 + 6 and 10 can be seen on the left and right sides of the equal sign, respectively.

Given the function that models the height of a ball

s(t) = -16t² + 48t

At maximum height, the velocity is zero ie. ds/dt  = 0

ds/dt = -16t² + 48t

0 = 48 - 16t

48 = 16t

t = 3 secs

Get the maximum height

s(t) = -16t² + 48t

s(t) = -16(3)² + 48(3)

s(t) = 0

Learn more about equations here;

https://brainly.com/question/25180086

#SPJ1

Write component form of transformation vector

Answers

The required trasformation vector is given as,
[tex]\vec z = z\hat i + z\hat j\\\vec u = u \hat i + u\hat j\\\vec x = x\hat i + x\hat j\\\vec y = y\hat i+ y\hat j[/tex]

What is a vector?

Vector is defined as the quantities that have both magnitude and direction is called a vector quantity and the nature of the quantity is called a vector.  

Here,
From the figure,
A component for of trasformation vector is given as,
[tex]\vec V= v\hat i + v\hat j[/tex]

where v is the magnitude of the vector and [tex]\hat i[/tex], [tex]\hat j\\[/tex] is the unit vector which shows the direction of the vector.
So vector trasformation equation is given as,
[tex]\vec z = z\hat i + z\hat j\\\vec u = u \hat i + u\hat j\\\vec x = x\hat i + x\hat j\\\vec y = y\hat i+ y\hat j[/tex]

Learn more about vectors here,
https://brainly.com/question/13322477
#SPJ1

Consider the following.
f(x) = {
1, −L ≤ x < 0,
0, 0 ≤ x < L;
f(x + 2L) = f(x)\
Find the Fourier series for the given function.

Answers

The Fourier series is a summation of sine waves with different amplitudes and frequencies that, when combined, approximate the original function. The coefficients of the sine waves are determined by the values of the function at certain points.

The Fourier series for the given function f(x) can be derived as follows:

Step 1: Calculate the average value of f(x) over one period.

Average value = (1 + 0)/2 = 0.5

Step 2: Calculate the Fourier coefficients for the given function.

Fourier coefficients =[tex](1/2L) + (1/π)∑_(n=1)^∞▒(sin(nπx/L) - sin(nπx/2L))/n[/tex]

Step 3: Construct the Fourier series by combining the Fourier coefficients and the sine waves of different frequencies.

Fourier series = [tex]0.5 + (1/π)∑_(n=1)^∞▒(sin(nπx/L) - sin(nπx/2L))/n[/tex]

The Fourier series is a way of expressing a function as a sum of sine and cosine waves, each of which has a specific amplitude and frequency. This can be used to approximate the original function. To find the Fourier series of a given function, the average value of the function over one period must first be determined. Then, the Fourier coefficients of the function can be calculated, which are determined by the values of the function at certain points. Finally, the Fourier series can be constructed by combining the Fourier coefficients and the sine waves of different frequencies.

Learn more about function here

https://brainly.com/question/29633660

#SPJ4

Amanda was observing insects in a terrarium in her school's science lab. She noticed there were a number of ants
and a number of spiders in the terrarium. She decided to count the number of legs there were all together on all
of the ants and spiders in the terrarium. You can assume that each ant had six legs and each spider had eight legs.
Let a represent the number of ants, and let s represent the number of spiders.
Question # 1: Write an expression using a and s that represents the total number of
legs in the terrarium. Circle the letter of the best answer.
(A) a+s
(B) 6(s+a)
(C) 6a +8s
(D) 8a + 6s
Question #2: What does each term in the expression represent?

Answers

The total number of ants and spiders can be represented using the expression 6a+8s.

What is an expression?

Mathematical expressions consist of at least two numbers or variables, at least one arithmetic operation, and a statement.

1) Given a is for total number of ants and s is for total number of spiders.

If  for one ant, number of legs is 6 legs, then for a number of ants,

total number of legs = 6×a = 6a

Similarly for s number of spiders, total numbers of legs = 8 × s = 8s

Therefore ,Total number of legs of all ants and spiders in terrarium = 6a + 8s

2) The term 6a represent the total number of legs of all ants in terrarium.

    The term 8s represent the total number of legs of all spiders in terrarium.

Hence the expression 6a+8s.

To learn more about expression, follow the link.

https://brainly.com/question/20373987

#SPJ1

A boat starts at the point A and sails 8 km due East to the point B. The boat sails 4 km due North to the point C. A second boat sails directly from A to C. What was the distance and bearing of the voyage of the second boat. correct to three significant figures?

Answers

The distance and bearing of the second boat are 4√5 km and 63.435°

respectively.

What is Pythagoras Theorem?

Pythagoras theorem states that for a right angled triangle, the square of the hypotenuse is the sum of the squares of base and altitude.

Given is a right angled triangle.

We have to calculate the distance of A from C, which is the distance d.

Using the Pythagoras theorem,

(AC)² = (AB)² + (BC)²

d² = 8² + 4²

d² = 64 + 16

d² = 80

d = √(16 × 5)

  = 4√5 km

Bearing is the angle measured clockwise from north.

Let θ be the angle CAB.

sin θ = BC / AC

        = 4/ (4√5)

        = 1/√5

θ = 26.565°

Bearing, x = 90 - θ = 63.435°

Hence the bearing of the second boat is 63.435°.

Learn more about Right Angled Triangles here :

https://brainly.com/question/21926466

#SPJ1

Other Questions
Ronald is making hats and scarves for charity. He has enough yarn to make 5 hats and 8 scarves. It takes him 12 hours to knit a hat and 6 hours to knit a scarf; he has 20 hours to knit. Let x represent the number of hats made. Let y represent the number of scarves made. Which inequalities are among the constraints for this situation? select each correct answer. some policies may need a(n) ____________________ indicating their expiration date. What is the author's message to the reader of the poem? This velocity-time graph shows 8 seconds of a car journey.What was the total distance travelled by the car during this time?If your answer is a decimal, give it to 1 d.p.Velocity (m/s)20151050Time(s) Which behavior is an example of group cohesion?Brianna blames Angie for last nights loss because Angie missed too many shots.The Astronomy Club challenges the Robotics Club to see which club can raise the more money for science equipment for the school.Rafael tells a new member of the Debate Club, I dont know how they debated where you came from, but here we treat our opponents respectfully.The team captain makes sure every player has a copy of the updated play book. Which statement is true?Select one:We use the verb ser to tell where someone or something is, butwe use estar to tell when something is taking place. We use the verb ser to identify someone's nationality, but we useestar to tell the origin of something.We use the verb ser to talk about inherent (permanent) qualitiesor characteristics, but we use estar states or conditions that aretemporary.We use the verb ser to talk about changeable conditions or states,but we use estar to talk about permanent qualities. codes.com student/2087800/section/148661/assignment/5896092/ My See Practice 10 Exercise 5.1.4: Access for DNA Class Let's Go! For this exerce, you are going to create 2 instance variables and the structure of the constructor for the DNA dess. DNA objects contain two strings, and and a mnotype. Create the instance variables with the appropriate privacy settings. Then create the structure of the constructor to take two parameters to match the instance variables. Make sure you set the privacy settings on the constructor correctly. (You do not need to complete the constructor Note: Because there is no main method, your code will not execute (that's ok). Use the autograde to verify that you have the correct code. - Sand My Section Practice Sa Sub Continue RUN CODE Status: Not Submitted E 5.1.4: Access for DNA Class 1 public class DNA 2. 3 4) 5 FILES ONA A specific unit or dollar limit applied to a particular type of good is called a(n):A. trade license.B. quota.C. asterisk bill.D. predatory price.E. exchange rate. Which executive department provided protection against terrorist activities? How do you track the schedule for the project explain in detail? How did they punish Joseph? Work out the value of (2^3)^2 what sentence in the constitution did the anti federalist fear? management by objectives is a mechanism of control with ________ organizational control systems. Which uses the least amount of storage? a. they all use the same amount of storage b. 'ex' stored in a column of type VARCHAR2(20)c. 'exam' stored in a column of type VARCHAR2(20) d. 'example' stored in a column of type VARCHAR2(20) How do i punctuate the sentence Greenburg us a beautiful small town not far from the city. Can Rock Lee use 8 gates? The nurse is preparing to provide education on the prevention of infection to parents of children. Which intervention(s) will the nurse include the main functional unit, or super organism, of a honeybee hive is the __________. What is the importance of knowing the setting characterization and plot of the story?