Geometry please help fast

Geometry Please Help Fast

Answers

Answer 1
Because the given triangle contains a right angle (90°), we can use the Pythagorean Theorem.

Pythagorean Theorem:

a²+b²=c²

where a=leg 1, b=leg 2, and c=hypotenuse

The Pythagorean Theorem works to solve any side of a right triangle as long as we know t he length of 2 sides. So, let’s plug the values into the formula and solve for “a” (leg 1).

a²+(4)²=(4√5)²

Simplify:

a²+16=80

Solve for a:

Subtract 16 from both sides

a²=80-16

a²=64

Take the positive square root of both sides:

√a²=√64

a=8

So, leg 1 (a), or side 3 is equal to 8

Let’s check our work by plugging a=8 because into the formula:

(8)²+16=80

64+16=80

80=80

Thus, the 3rd side is 8

Related Questions

Write an exponential function in the form y=ab^xy=ab x that goes through points (0, 14)(0,14) and (6, 896)(6,896).

Answers

The exponential function in the form y=ab^xy=ab^x is   [tex]y=14^{(2)}^{x}[/tex]

An exponential function is defined as a mathematical function of the following form:

f(x) = a^x. where x is a variable, and a is a constant and is also called the base of the function.

where a> 0 and a≠ 1.

first, we have to find a and b values, to find a and b values we have to substitute the points into the given equation.

y=ab^xy=ab^x we can rewrite it as y=ab^x

using (0, 14 ), then the equation becomes:

14=ab^0 [b^0 =1 ], then

14 = a × 1

a = 14

y = 14b^x

Now, use the second point: (6, 896 )

896 = 14 b^6 ( divide both sides by 14 )

64 = b^6 ( take the sixth root of both sides )

[tex]b=\sqrt[6]{64}[/tex]

b=2

substitute a and b values in the equation, and we get:

Hence, y = 14^(2)^x is the exponential function.

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How do you dilate a triangle by?

Answers

To do dilatation a triangle by a scale factor of k, we have to multiply the x and y-value of each triangle point by k.

A coordinate plane is a system that graphs and describes the position of points and lines. It consists of horizontal (x) and vertical (y) axes.

We can perform dilatation for a point or line in a coordinate plane system based on specific criteria.

Dilation is a form of image transformation that produces a new image, which is larger, or smaller, based on a certain scale factor. The new image is the same in shape, but different in size.

The rule of dilatation:

[tex]D_{k}[/tex](x,y) = (kx, ky)

where [tex]D_{k}[/tex] is the point of the new image and k is the scale factor.

When we want to dilate a triangle ABC, the result can be found by multiplying its original points with the scale factor.

For example:

Triangle ABC (-2,2), (-2,3), (1,2) is dilated by a scale factor of 2. The new triangle A'B'C' will be A’(-4,4), B’ (-4,6), and C’ (2,4).

Thus, to dilate a triangle by a scale factor of k, we have to multiply the x and y-value of each triangle point by k.

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Can you help me with this

Answers

Answer:

[tex]y=\frac{1}{2}x+1[/tex]

Step-by-step explanation:

The points [tex](-2,0)[/tex] and [tex](0,1)[/tex] lie on the line.

The slope of the line is [tex]m=\frac{1-0}{0-(-2)}=\frac{1}{2}[/tex].

Since the [tex]y[/tex]-intercept is [tex](0,1)[/tex], the equation is [tex]y=\frac{1}{2}x+1[/tex].

List the bames and corresponding speeds from least to greatest in mile per hour. (Hint: 1,610 meters)

Answers

Note that this prompt is an exercise on Metric Units for distance. The names and corresponding speeds from least to the greatest in Miles/Hour are listed below:

Leshawn - 54 Miles/HrMonalo - 59 Miles/Hr Julie 62 - Miles/HrWhat are metrics Units for distance?

The most frequent units of distance in the metric system are

millimeters, centimeters, meters, and kilometers.

Then you also have:

MilesYardFootNautical Miles Nanometers etc.

To solve the problem of graduation as regards the above listed names, we must convert all distances to miles.

A) Julie's Distance is 62 Miles/Hr (Given, hence no computation required)

B) Monalo's Distance is 311,520 Feet/Hr

Note that:

1 Foot = 0.000189394 miles

Thus, 311,520 Feet in miles =

311,520 x 0.000189394

= 59.00001888

Thus,

Monalo's Distance in Miles/Hr [tex]\approx[/tex] 59 Miles/Hr

C) Leshawn 1,448 meters per minute

We must convert to Hour for sake of consistency.

Since there are 60 minutes in an hour, we have the distance in meters are:

1448 x 60

= 86,880 meters/Hr

Next, we must now convert meters to Miles. Recall that

1 Meter = 0.000621371 Miles

Thus,  86,880 meters/Hr in miles is


86,880 x 0.000621371

= 53.98471248/Hr

Therefore,

Leshawn's distance in Miles [tex]\approx[/tex] 54 Miles/Hr

Given the above, the names and corresponding speeds from least to greatest in miles per hour is:

Leshawn - 54 Miles/HrMonalo - 59 Miles/Hr Julie 62 - Miles/Hr

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Full Question:

List the names and corresponding speeds from least to greatest in miles per hour. Julie 62 miles per hour Manalo 311,520 feet per hour and Leshawn 1,448 meters per minute

I don’t know the answer to this.

Answers

Yay! This one isn't that bad.  

Think of it like this:

123 = 123

1 = 1, 2 = 2, and 3 = 3.  

For angles, ABC = ABC, A = A, B = B, and C = C.

If you know that example SOQ = WHO, then S = W, O = H, and Q = O.  Nothing else though, unless there's a diagram and you are given information stating otherwise.

Hope that helps! xx And please make sure that you are not posting any questions about exams or tests.  That could endanger your grade.  I've seen quite a few exam questions on here, and teachers check these things.  And even if they don't, be honest! :) Honesty Policy.  

find the radius of convergence, r, of the series. [infinity] 6(−1)nnxn n = 1

Answers

The radius of convergence, r, of the series [infinity] 6(−1)nnxn n = 1 is 1.

The radius of convergence is the distance from the point of convergence to the origin. It tells us the distance at which a series converges or diverges. In this series, the point of convergence is at x = -1, so the radius of convergence, r, is the distance between -1 and the origin, which is 1. This means that the series converges for any x such that |x+1|<1, or in other words, for any x such that -2<x<0.

Outside of this range, the series will diverge and will not converge. This can be determined by looking at the terms of the series. For |x+1|>1, the terms of the series will become larger and larger, resulting in divergence. For |x+1|<1, the terms of the series will become smaller and smaller, resulting in convergence.

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Calculate the double integral.
4x
1 + xydA, R = [0, 4] × [0, 1]
iintegral.gif
R

Answers

The double integral of 4x + xydA over the region [0, 4] × [0, 1] is equal to 8.5. This can be computed by integrating x + xy with respect to x from 0 to 4 and then integrating with respect to y from 0 to 1.

The double integral of 4x + xydA over the region [0, 4] × [0, 1] is equal to 8.5. This can be computed by:

1. Integrate 4x with respect to x from 0 to 4:

∫04x dx = [x2/2]04

= (42/2) - (02/2)

= 16/2

2. Integrate xy with respect to x from 0 to 4:

∫04xydx = [x2/2]41

= (41/2) - (01/2)

= 1/2

3. Add the two integrals together to get the final answer:

16/2 + 1/2

= 8 + 1/2

= 8.5

The double integral of 4x + xydA over the region [0, 4] × [0, 1] is equal to 8.5. This can be computed by first integrating 4x with respect to x from 0 to 4, which gives 16/2, and then integrating xy with respect to x from 0 to 4, which gives 1/2. Adding these two integrals together yields 8 + 1/2, or 8.5.

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How many equilateral triangles make a regular hexagon 6?

Answers

By the property of regular hexagon , the total number of equilateral triangles are need to form a regular hexagon is six .

What is a Regular Hexagon ?

A regular hexagon is defined as a closed figure that is made up of six equal sides .

The Properties Of Regular Hexagon are :

(i) Regular Polygon has 6 equal sides and 6 equal angles.

(ii) The Sum of interior angles is equal to 720°.

(iii) Each Interior angle is of 120° and exterior angle is of 60°.

(iv) Regular Hexagon made up of six equilateral triangles.

(v) There are 9 diagonals that can be drawn inside a regular hexagon.

Therefore , 6 equilateral triangles are need to form regular hexagon .

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Mark and Shannon each improved their yards by planting hostas and ivy. They bought their supplies from the same store. Mark spent $44 on 4 hostas and 4 pots of ivy.
Shannon spent $34 on 2 hostas and 5 pots of ivy. How much did one pot of ivy cost?

Answers

The cost for each pot of ivy is obtained as $4.

What is a system of linear equations?

A system of linear equations can be defined as a number of equations needed to solve the equations. For n number of variables n number of equations are required.

Suppose the cost of each host and ivy be x and y respectively.

Then, the system of equations for money spent by Mark and Shannon can be written as,

4x + 4y = 44                 (1)

2x + 5y = 34                 (2)

Multiply equation (2) by 2 then subtract from (1) to get,

4x + 4y - 2(2x + 5y) = 44 - 2 × 34

⇒ -6y = -24

⇒ y = 4

Hence, the cost of each pot of ivy is given as $4.

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If m= 2, n=3, and p= -1, then find the value of: 2mn4 – 15m2n + p

Answers

Answer:

-131

Step-by-step explanation:

2mn4-15m2n+p

input each value in the letter

2(2)(3)4-15(2)2(3)+ (-1)

= -131

The value of the given expression is 143.

What is an expression?

An expression is a combination of terms that are combined by using mathematical operations such as subtraction, addition, multiplication, and division.

The given expression is 2mn⁴-15m²n+p.

Here, m=2, n=3 and p=-1

Now, 2×2×3⁴-15×2²×3+(-1)

= 324-180-1

= 143

Therefore, the value of the given expression is 143.

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What are three examples of exponential decay?

Answers

The three examples of exponential decay are radioactive decay, carbon-14 dating, and medical imaging.

Radioactive decay is the process by which an unstable atomic nucleus loses energy by emitting radiation. The most common type of radioactive decay is alpha decay, in which the nucleus emits an alpha particle (a helium nucleus) and transforms into an atom with a mass number that is four less than the original atom.

Carbon-14 dating is a method for determining the age of objects that contain organic material by measuring the radioactive decay of carbon-14. Carbon-14 is a radioactive isotope of carbon that is present in all living things in a constant amount.

When an organism dies, the carbon-14 begins to decay and is not replaced. The half-life of carbon-14 is 5730 years, which means that after 5730 years, half of the carbon-14 will have decayed.

Medical imaging, such as X-rays and CT scans, use ionizing radiation, which can damage living tissue. The amount of damage is a function of the radiation dose and the sensitivity of the tissue. The damage is typically repaired by the body, but at high doses, the damage can be permanent and result in cell

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How many numbers greater than 4000 can be formed with the digits 2 3 4 5 and 6 when no digit is repeated?

Answers

120 numbers greater than 4000 can be formed with the digits 2 3 4 5 and 6 when no digit is repeated.

In order to find out how many numbers greater than 4000 can be formed with the digits 2, 3, 4, 5 and 6 without repeating any digit, we can use permutation. The formula for permutation is n!/(n-r)! Where n is the total number of digits and r is the number of digits in the number.

In this case, n=5 and r=4.

Therefore, the formula is 5 x/(5-4)! which is 5x/(1x) = 5! = 5x4x3x2x1 = 120.

This means that there are 120 numbers greater than 4000 that can be formed with these five digits without repeating any digit.

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I need this for my home work please help me

Answers

Answer: It's A, 1/6 is less than 1/5

Also could you mark my answer as brainliest? It helps and doesnt hurt

The graph below represents the amount of water in a pool over a period of 5 hours.


Place the tiles in the order that best interprets
the information shown in the graph.


1. It starts raining and the pool fills with more water

2. The pool drain is completely clogged and does not drain any water.

3. The pool drain is slightly clogged and the pool drains water at a slow rate

4. The pool drain is cleaned and drains water at a quick rate

Answers

The correct order of given information is 3, 2, 1 and 4.

What is the graph?

Graph is a mathematical representation of a network and it describes the relationship between lines and points. A graph consists of some points and lines between them. The length of the lines and position of the points do not matter.

Given that, the given graph represents the amount of water in a pool over a period of 5 hours.

Here, the order of given information is

The pool drain is slightly clogged and the pool drains water at a slow rate.The pool drain is completely clogged and does not drain any water.It starts raining and the pool fills with more water.The pool drain is cleaned and drains water at a quick rate

Therefore, the correct order of given information is 3, 2, 1 and 4.

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Engineers are analyzing the performance of windshield wiper blades. At the end of one swipe, the tip of a blade is at (-5, 7) when represented graphically. What is the sine value of this function?

Answers

The sine value of the function will be 7 times square root of 74 over 74.

What is the function?

Functions are the fundamental part of the calculus in mathematics. The functions are the special types of relations. A function in math is visualized as a rule, which gives a unique output for every input x.

Firstly, we need to get for the value for r. This will be

r² = (−5)² + 7²

r² = 74

r = square root of 74

After, formulate the equation of a sine. This will be:

sin x = 7/r

sin x = 7/✓74

sin x = (7×✓74)/74

Therefore, the sine value of the function will be sin x = (7×✓74)/74.

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"Your question is incomplete, probably the complete question/missing part is:"

Engineers are analyzing the performance of windshield wiper blades. At the end of one swipe, the tip of a blade is at (−5, 7) when represented graphically. What is the sine value of this function?

Negative 7 square root 74 divided by 74 7 times square root of 74 over 74 square root 74 negative 5 times square root of 74 over 74

HELP WITH GEOMETRY HELP ME

Answers

Answer:

hypotenuse = 4

Step-by-step explanation:

Pythagorean theorem:

   Given triangle is a right-angled triangle. To find the unknown side, use Pythagorean theorem.

      hypotneuse² = leg₁² + leg₂²

                             [tex]\sf = (2\sqrt{3})^2 + 2^2\\\\= 2^2*(\sqrt{3})^2 + 4\\\\= 4*3 + 4\\\\= 12 + 4\\\\=16[/tex]

         [tex]\sf hypotenuse = \sqrt{16}\\[/tex]

                           [tex]\sf = \sqrt{4*4}\\\\ = 4[/tex]

Two forces are each applied to an area of 0.06 m2.
The first is applied with a pressure of 20 N/m2, and the second with a pressure of 45 N/m2.
Find the difference between the size of the forces. (units is N)

Answers

The difference between the size of the two forces is 1.5 N.

What is the relationship between Pressure, Force, and  Area?

The relationship between the Pressure, Force, and Area can be seen in their equation, Pressure = Force/Area. According to this equation, pressure equals the force applied to a surface divided by the area on which that is exerted.

In essence, increasing the forces exerted on a surface will increase the pressure. However,  decreasing the force decreases the pressure.

Using the equation:

Pressure = Force/Area.

20 N/m² = Force/0.06 m²

Force_1 = 20 N/m² * 0.06 m²

Force_1 = 1.2 N

Force_2 = 45 N/m² * 0.06 m²

Force_2 = 2.7 N

The difference between the size of the forces are:

= 2.7 N - 1.2 N

= 1.5 N

Therefore, we can conclude that the difference between the size of the two forces is 1.5 N.

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Please help on 9. I know it’s long but I really don’t understand it. I’ll do anything really :(.

Answers

Answer:

a)(1.5,-4) true , (-4,-4) false / b) (0,-5) and (2,-4) are false and the other 2 is true / c) shade under the line d) they are not included because they are if you take any point on the line ot won't be less that 15

Step-by-step explanation:

in a) you substitute the x and the y to the equation and check if they are equal to 15 , b) you do the same thing but this time you check if its under 15 c) its less than so its below the line , d) already answered

Why Did The Stage Manager Put Paste On The Programs?

Answers

Because he wanted the audience glued to their seats, the stage manager pasted paste on the programmes.

Even before the first rehearsal, the stage manager is involved in the performance. During

He or she is in charge of preparing all the materials during what is known as "PREP WEEK."

for the opening of the rehearsals. The first step is for actors to completely TRUST the stage management.

Being structured from the first minute of the first rehearsal is essential to gaining that trust.

The stage manager is accountable for attending each rehearsal during the rehearsal time to

aid the director, create CUE SHEETS, let the actors know what the director wants, and all the

Develop strong working connections with DEPARTMENT HEADS, who are perhaps the most crucial, everyone involved in the show.

The director frequently moves on to another production after the first performance.

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After 8 matches a basketball player has a mean of 27 points. After ten matches his mean was 31 points.How many points in total did he score in his last 2 matches

Answers

In the last two games, a basketball player has scored 94 points altogether.

What is Mean?

The mathematical average of two or more numbers is known as the mean. It can be calculated using either the geometric or arithmetic mean methods.

Given, After 8 matches a basketball player has a mean of 27 points. After ten matches his mean was 31 points.

mean =  sum of total observation / no. of observations

let the sum of total points scored in 8 matches be x

x/8 = 27

x = 216

after three more matches, his mean was 31.

new mean = x + (points in last three games)/(8+2)

31 = (x + (points in last three games))/10

x + (points in last three games)=  310

we know that x = 216

216  + (points in last three games) = 310

points in the last three games = 310 - 216

Points in the last two games = 94

therefore, a basketball player scores a total of 94 points in the last two games.

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Washington Auto Repair originally paid its mechanics $40 per hour. Now that there is a new owner, mechanics make $30.90 per hour. What was the percent of decrease in pay?

Answers

If Washington Auto Repair originally paid its mechanics $40 per hour. Now that there is a new owner, mechanics make $30.90 per hour. The percent of decrease in pay is: 22.75%.

How to find the percent decrease?

Using this formula to find or determine the percent decrease

Percent decrease = Original Value – New Value/Original value

Let plug in the formula

Percent decrease  = $40 per hour - $30.90 per hour / $40 per hour

Percent decrease = $9.10 /  $40 per hour × 100

Percent decrease = 22.75%

Therefore the percent decrease is 22.75%.

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The diagram shows j // k and cut by transversal t. Which angle is a corresponding angle to Angle 8 in the diagram below?

Answers

The corresponding angle of angle 8 is angle 4.

How to find corresponding angles?

When parallel lines are cross by a transversal line, angle relationships are formed such as corresponding angles, alternate interior angles, linear angles, same interior angles, alternate exterior angles, vertically opposite angles.

In the diagram, j and k are parallel line cut by the transversal t. Let's find the corresponding angle of 8.

Corresponding angles are the angles which are formed in matching corners with the transversal when two parallel lines are intersected by any other line. corresponding angles are congruent.

Therefore,

∠4 is corresponding to ∠8.

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simplify the expression

(5j + 1)(7) =

Answers

Answer: 7+35j

Step-by-step explanation: First we have to distribute 7 to 1 and 5j. So, (7*1)+(7*5j). So our final answer would be 7+35j

For two acute angles ∠E and ∠F, cos(E)=sin(F). Let m∠E=(8x–12)° and m∠F=(6x–10)°. What is m∠F, in degrees?

Answers

Answer:

If cos(E) = sin(F), then we know that m∠E + m∠F = 90 degrees (since E and F are acute angles).

We are given that m∠E = (8x - 12) degrees, and we want to find m∠F.

We can substitute the given value of m∠E into the equation m∠E + m∠F = 90 degrees, and solve for m∠F:

(8x - 12) + m∠F = 90

m∠F = 78 - 8x

So the measure of angle F is 78 - 8x degrees.

We are also given that m∠F = (6x - 10) degrees. So we can substitute this value into the equation we just found:

m∠F = (6x - 10) = 78 - 8x

We can now solve this equation for x:

6x - 10 = 78 - 8x

14x = 88

x = 6

So we know that x = 6.

Now we can substitute this value back into the equation m∠F = (6x - 10) to find the measure of angle F:

m∠F = (6x - 10) = (6 * 6) - 10 = 24 degrees

So the measure of angle F is 24 degrees.

need help ASPA. The question-and-answers are in the picture.

Answers

The graph that represents the rational function f(2x) is given by:

Graph C.

What are horizontal stretch and compression?

The transformation to a function that generates an horizontal compression or stretch is in the domain of the function, as follows:

f(ax).

Then whether the transformation is a compression or a stretch depends on the absolute value of a, as follows:

|a| < 1, the transformation is a stretch.|a| > 1, the transformation is a compression.

In this problem, the transformation is defined as follows:

g(x) = f(2x).

Meaning that it is an horizontal compression by a factor of 1/2.

The vertical asymptote has the coordinate given as follows:

x = 2.

After the compression, the coordinate is given as follows:

x = 2 x 1/2

x = 1.

Which means that Graph C is the correct graph for the rational function after the transformation.

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I need help in solving these problems please and thank you

Answers

The possible value of x is 17 and the degree measure of each angle is m∠P = 57°, m∠Q = 110°, and m∠R = 17°.

What are the degree measures of the three angles in triangle?

The angle sum of a triangle will always be equal to 180°. The angle sum of a quadrilateral is equal to 360°, and a triangle can be created by slicing a quadrilateral in half from corner to corner. Since a triangle is essentially half of a quadrilateral, its angle measures should be half as well. Half of 360° is 180°.

We have given,

The triangle PQR,

m∠P=(4x - 9), m∠Q=(6x+2), and m∠R=x. (a) Write an equation to find x.

a)

In a triangle, the sum of the degree measures of the three angles must be 180 degrees.

So for the triangle with angles P, Q, and R, we can use this rule to write the following equation:

m∠P + m∠Q + m∠R = 180

(4x - 9) + (6x + 2) + x = 180

11x - 7 = 180

11x = 187

x = 17

This equation shows that x = 17 is the only possible value of x that satisfies the triangle inequality rule for the given triangle.

b) To find the degree measure of each angle:

m∠P = 4x - 9 = 4(17) - 9 = 57°

m∠Q = 6x + 2 = 6(17) + 2 = 110°

m∠R = x = 17°

Hence, the possible value of x is 17 and the degree measure of each angle is m∠P = 57°, m∠Q = 110°, and m∠R = 17°.

.

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the diameter of earth is twice that of mars. the diameter of mars is three times that of pluto. the sum of the diameters of the earth mars and pluto is 30,000 km less than the diameter of uranus. the diameter of uranus is 52,000 km. what is the diameter of pluto?



HELPPPP

Answers

Answer:

Step-by-step explanation:

... g=10m/s??

Answer:

The diameter of Pluto is 2200

Step-by-step explanation:

Let u = the diameter of Uranus

Let e = the diameter of Earth

Let m = the diameter of Mars

Let p = the diameter of Pluto

u = 52000

e + m + p = 52000 - 30000

e + m + p = 22000

e = 2m

m = 3p or p = m/3

substitute 2m for e and m/3 for p in the bold equation above and solve for m

2m + m + m/3 = 22000  Multiply all the way through by 3 to clear the fraction.

6m + 3m + m = 66000  Combine like terms

10m = 66000  Divide both sides by 10

m = 6600

P = m/3

p = 6600/3 = 2200

Brice has twice as many stamps in his collection as his friends Anthony and Paul
combined.
Paul has 32 stamps in his collection Brice has 96 stamps in his
collection. How many stamps does Anthony have in his collection?
The equation 2(x +32)=96 models this situation. Which choice
shows the sequence of operations needed to solve this problem, using
both arithmetic and algebra?

Answers

Answer:

You'recorrect it's C :>

Step-by-step explanation:

96 in half it would be 48, 32 minus 48 is 16 and it says divide by 2 and subtract 32 and you get 16.

Apply Newton's Method using the given initial guess.
y = x3 − 2x − 2, x1 = 0
x1 = x2 = x3 = x4 = Explain why the method fails.

Answers

We are unable to perform any additional iterations because y′(1)=0, hence the Newton's technique fails with the provided initial assumption.

What is equations ?

An equation is a mathematical formula that joins two statements and uses the equal symbol (=) to indicate equivalence. A mathematical statement that proves the equality of two mathematical expressions is known as an equation in algebra. For instance, in the equation 3x + 5 = 14, the equal sign divides the variables 3x + 5 and 14. The relationship between the two sentences on either side of a letter is explained by a mathematical formula. There is frequently only one variable, which also serves as the symbol. for instance, 2x - 4 = 2.

given

by newton's method

y = x3 − 2x − 2, x1 = 0

y′(1)=6−12+6

y′(1)=0

We are unable to perform any additional iterations because y′(1)=0, hence the Newton's technique fails with the provided initial assumption.

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A basketball player scored 40 points by making 2-point and 3-point baskets. The player made a total of 17 shots. How many were 2-pointers and how many were 3- pointers?.​

Answers

Answer:

11 2 point and 6 3 point baskets

Step-by-step explanation:

Let x be the number of 2-point baskets the basketball player made, and let y be the number of 3-point baskets. We know that the player made a total of 17 shots, so x + y = 17. We also know that the player scored 40 points, and each 2-point basket is worth 2 points and each 3-point basket is worth 3 points, so 2x + 3y = 40.

We can solve this system of equations using substitution. From the first equation, x = 17 - y. Substituting this expression for x into the second equation, we get 2(17 - y) + 3y = 40. Expanding the left side, we get 34 - 2y + 3y = 40. Simplifying, we get y = 6.

Substituting this value for y back into the first equation, we get x = 17 - 6 = 11. Therefore, the basketball player made 11 2-point baskets and 6 3-point baskets.

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