pls help with homework, due tommarow
can you explain how to do it also pls

Answer:

y = 4x + 4

Step-by-step explanation:

the equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept, where it crosses the y- axis )

calculate m using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (- 1, 0) and (x₂, y₂ ) = (- 2, - 4) ← 2 points on the line

m = [tex]\frac{-4-0}{-2-(-1)}[/tex] = [tex]\frac{-4}{-2+1}[/tex] = [tex]\frac{-4}{-1}[/tex] = 4

the line crosses the y- axis at (0, 4 ) ⇒ c = 4

y = 4x + 4 ← equation of line

In Exercises 23-26 and In Exercises 27-36 , the trigonometric function by memory and by constructing an appropriate triangle for the given special angle are mentioned below

Trigonometry is a branch of mathematics, which deals with the study of right angle triangles. Trigonometry is concerned with specified functions of angles and their applications to calculations.

There are 6 commonly used functions in trigonometry with their name and abbreviations-

sine (sin), cosine (cos), tangent (tan), cotangent (cot), secant (sec), cosecant (cosec)

1. Exercises 23-26

23. (a) cos 60° = 0.5

24. (a) cot 45° = 0.7071

25. (a) sin 45° =  0.7071

26. (a) sin 60° = 0.8660

(b) cos 30° = 0.8660

(b) cos 45° =  0.7071

(b) cos 30° = 0.8660

(b) tan 45° = 1

27. (a) sin 10° = 0.9958

28. (a) tan 23.5° = 0.4348

29. (a) sin 16.35° = 0.2815

(c) tan 60° = 1.732

(c) cosec 45° = 1.4142

(c) tan 30° = 0.5773

(c) sec 30° = 1.1547

2.  Exercises 27-36

(b) cos 80° = 0.1736

(b) cot 66.5° = 0.4348

(b) cosec 16.35° = 3.5523

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The solutions of x²=-36 are 6i and -6i.

Two or more expressions with an Equal sign is called as Equation.

X by the power of 2 is -36

This can be written as x²=-36

We need to find the value of x.

x²=-36

Take square root on both sides

x=√-36

x=√i²36

x=6i, -6i

Hence, the solutions of x²=-36 are 6i and -6i.

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[tex]\dfrac{1}{3} x=6[/tex]

Multiply both sides by 3:

[tex]3\times(\dfrac{1}{3} x)=3\times(6)[/tex]

[tex]\fbox{x = 18}[/tex]

1/3x = 6

Multiply both sides by 3:
3 * 1/3x = 3 * 6

x = 18

x = 18 would be your answer.

Hope this helps!

[tex]\stackrel{~\hspace{5em}\textit{perpendicular lines have \underline{negative reciprocal} slopes}~\hspace{5em}} {\stackrel{slope}{ \cfrac{-2}{3}} ~\hfill \stackrel{reciprocal}{\cfrac{3}{-2}} ~\hfill \stackrel{negative~reciprocal}{-\cfrac{3}{-2} \implies {\Large \begin{array}{llll} \cfrac{3}{ 2 } \end{array}}}}[/tex]

The value of cosec B if A and B are complementary is 15/7

Two angles are called complementary when their measures add to 90 degrees. Since A+B = 90°, then A and B are complementary. Examples of complementary angles are 45 and 45, 30 and 60, 20 and 70 e.t.c

If sec A is 15/7

sec A= 1/cos A

therefore cos A = 7/15

if cos A = 7/15 , then from law of complementary angles

cos A = sin (90-A)

and 90-A = B

therefore cos A = sinB

if cos A = 7/15, then;

sin B = 7/15

then sinB = 1/cosec B

cosec B = 15/7

therefore the value of cosec B = 15/7

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Aiden can make up to 166 copies before his copy card balance reaches below $5.00 as each copy total costs $0.06.

1. 15.00 - 0.06x ≥ 5.00

2. Add 0.06x to both sides: 15.00 ≥ 0.06x + 5.00

3. Subtract 5.00 from both sides: 10.00 ≥ 0.06x

4. Divide both sides by 0.06: 166.67 ≥ x

5. Therefore, x ≤ 166.67, so Aiden can make a maximum of 166 copies.

Aiden's copy card balance is $15.00, and each copy he makes costs $0.06. To ensure that his card balance does not go below $5.00, he needs to calculate the max number of copies he can make. To do this, we set up an inequality, 15.00 - 0.06x ≥ 5.00, and solved it to get x ≤ 166.67, meaning Aiden can make a maximum of 166 copies.

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For HL congruence, two triangles need to have the same corresponding angles and corresponding sides. This means that the angles in one triangle must match the angles in the other triangle, and the side lengths must match respectively.

HL congruence is a type of congruence between two triangles, which states that two triangles are congruent if they have the same corresponding angles and corresponding sides. The angles of one triangle must be equivalent to the angles of the other triangle, and the side lengths must match.

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Answer:

9 years

Step-by-step explanation:

Losing 15 % means 85% remains

  so multiply each year's value by .85 to find the current value

       after 'n'  years it will be  24300 * .85^n

when will it be 5600 ?

    5600 = 24300 * .85^n

     5600/24300  = .85^n  

             now you need to take the log of both sides and solve for 'n'  years

  log ( 5600/24300) / log(.85) = n = 9.031 = ~~ 9 years

Answer:

28 / Ounce of wed >;)

Step-by-step explanation:

Answer:

28

Step-by-step explanation:

PEMDAS (parenthesis, exponents, multiplication, division, addition, subtraction)

Multiply 4 and 7 (28), divide 20 by 5 (4), add those together (32) and then subtract 4 which will get you 28

Answer: The equation of the perpendicular bisector of AB is 3x+7y-77=0

A line equation is an algebraic representation of a set of points that together form a line in a coordinate system. Multiple points that together form a line on the coordinate axis are represented as a set of x,y variables to form an algebraic equation called a one-line equation.

Equation of line⇒[tex](y-y1)=\frac{(y2-y1)}{(x2-x1)} (x-x1)[/tex]

Midpoint of line⇒[tex]\frac{(x1+x2)}{2}, \frac{(y1+y2)}{2}[/tex]

Step-by-step explanation:

Line CD⊥AB

Equation of AB⇒ [tex]\frac{y+10}{x-4} =\frac{15-1}{10-4} \\[/tex]

                        ⇒ [tex]\frac{y+10}{x-4} =\frac{14}{6}[/tex]

                        ⇒ [tex]\frac{y+10}{x-4} =\frac{7}{3}[/tex]

                        ⇒ 3(y+10)=7(x-4)

                        ⇒ 3y+30=7x-28

                        ⇒ 7x-3y=30+28

                        ⇒ 7x-3y=58

Midpoint of AB⇒  [tex]\frac{4+10}{2} , \frac{1+15}{2}[/tex]

                         ⇒ [tex]\frac{14}{2}, \frac{16}{2}[/tex]

                         ⇒ (7, 8)

Slope of CD⇒  [tex]\frac{-1}{slope of AB}[/tex]

Slope of AB⇒ [tex]\frac{-7}{-3}[/tex]

                   ⇒ [tex]\frac{7}{3}[/tex]

Slope of CD⇒ [tex]\frac{-3}{7}[/tex]

Equation of CD⇒ [tex]y-8=\frac{-3}{7} (x-7)[/tex]

                        ⇒ 7(y-8)=-3(x-7)

                        ⇒ 7y-56=-3x+21

                        ⇒ 3x+7y-56-21=0

                        ⇒ 3x+7y-77=0

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Answer:

6,004.024

Step-by-step explanation:

Answer:

The number 0.000380 converted to standard form is 3.80 x 10 -4 Note that we do not remove the trailing 0 because it was originally to the right of the decimal and is therefore a significant figure. Additional Resources See the Scientific Notation Calculator to add, subtract, multiply and divide numbers in scientific notation or E notation.

Step-by-step explanation:

Answer:

D. IT shows it is Exponential function i believe

Step-by-step explanation:

Answer:

[tex]y=-\frac{3}{2}x+9[/tex]

Step-by-step explanation:

Parallel lines have the same slope, but different y-intercepts, so it helps to rewrite the equation in slope-intercept form:

[tex]2y+3x-4=0\\2y=-3x+4\\y=-\frac{3}{2}x+2[/tex]

Now, just simply change the y-intercept from 2 to 9 and you're done!

The volume of the figure is has been determined to be 597.632 cubic centimeters.

The volume of a figure is the amount of substance that it can conveniently contain considering its dimensions. Each figure has a given formula to determine its volume.

Considering the figure in the question, divide it into two parts.

So that,

i. volume of the first part = length x width x height

                                      = 16.25 x 5.8 x 4.6

                                      = 433.55

The volume of the first part is 433.55 cubic cm.

ii. volume of the second part = length x width x height

                                            = (16.25 - 10.1) x 5.8 x 4.6

                                            = 6.15 x 5.8 x 4.6

                                            = 164.082

volume of the second part is 164.082

iii. Total volume of the figure = 433.55 + 164.082

                                           = 597.632 cubic centimeters

The total volume has been determined to be 597.632 cubic centimeters.

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Benito's gross pay for the week will be $757.07.

What are work and time?

In aptitude, work and time are related concepts that are used to calculate the rate of work being done.

Benito is to be paid time and a half for every hour over 40 that he works, so for a 49-hour work week, he will be paid for 49 - 40 = 9 hours of overtime.

His regular pay for the first 40 hours is $14.15 per hour * 40 hours = $566.

His overtime pay is $14.15 per hour * 1.5 = $21.23 per hour

His overtime pay for 9 hours is $21.23 per hour * 9 hours = $191.07

his gross pay for the week will be $566 + $191.07 = $757.07.

Hence, Benito's gross pay for the week will be $757.07.

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answer: 60.00

Based on the given conditions, formulate:: 4000x
((1.5%+1)12/12-1)

Evaluate the equation/expression:: 60

Round 60 to the required place rounding: 60.00

Keon scored 5 goals.

Answer;

-2.8m

Step-by-step explanation;

It's just adding m terms, and yes it's adding decimals but you can do it in your head if your good at arithmetic if not your calculator is there to help you out dw

so -5.1m+2.3m is

Answer: -2.8

Step-by-step explanation:

it the answer

Answer: 180°

Step-by-step explanation:

If given the bearing from B to A, the bearing from A to B can be found using interior angles. Subtract the bearing of B to A from 180° to find the missing interior angle, then use the fact that angles in a full turn add to 360° to find the bearing of A to B.

The probability for the first digit of a random number of a data set to be greater than 7 is 0.097.

Here we are given a probability distribution table regarding Benford's law where all the probabilities about the occurrence of the first digit of a data set are given. As we can see that digit 1 has the highest probability with number 9, the least.

Here we need to find the probability that a randomly selected number, has a first digit greater than 7.

Here we don't have to think about Benford's law since the data already has given us the required distribution.

Hence P(D > 7) = P(D = 8) + P(D = 9)

= 0.051 + 0.046

= 0.097

Hence the probability for the first digit to be greater than 7 is 0.097.

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Correct Question

(Image Attached)

The smallest possible integer value that 'a' could take is 6.

Perimeter is the total length of a shape's boundary.

Perimeter of equilateral triangle = 3a, where a is the side length

Perimeter of a square = 4b, where b is the side length

Let P₁ be the perimeter of equilateral triangle and P₂ be the perimeter of square.

Here,

Length of side of equilateral triangle = 4a + 2

P₁ = 3 (4a + 2)

Length of side of square = 2a + 7

P₂= 4 (2a + 7)

Given P₁ > P₂

3 (4a + 2) > 4 (2a + 7)

By distributive property,

12a + 6 > 8a + 28

12a - 8a > 28 - 6

4a > 22

a > 22/4

a > 5.5

Hence 6 is the smallest number which is an integer that 'a' could take.

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The value of [tex]r[/tex] is [tex]7[/tex]

The given equation is

                        [tex]5(r-3)=20[/tex]

We will now open the bracket, [tex]5r-15=20[/tex]

Let's simplify,

                      [tex]5r=20+15\\5r=35\\r=\frac{35}{5} \\r=7[/tex]

The value of [tex]r=7[/tex]

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Answer: To find the midpoint of a line segment, you can average the x-coordinates of the endpoints and average the y-coordinates of the endpoints.

The x-coordinates of the endpoints are -1 and -9, so the average of the x-coordinates is (-1 + (-9))/2 = -5

The y-coordinates of the endpoints are 3 and -7, so the average of the y-coordinates is (3 + (-7))/2 = -2

So the midpoint of the segment with endpoints (-1, 3) and (-9, -7) is (-5, -2)

Step-by-step explanation:

Answer:

8v+3c

Step-by-step explanation:

2v+6v+3c

2v and 6v have similar figures so you can add them together

so it becomes 8v+3c

c and v have nothing in common so you cannot simplify them more

1. The ratio of the surface area to volume of the cube = 3/ 5

2. The ratio of the surface area to volume of the cuboid = 113/ 62

Surface area and volume of a figure.

The surface area of a given figure is the area of the total external boundary of the figure. While the volume of a figure is the quantity of substance that can fill up the figure.

To solve the question, we have;

1. The surface area of a cube = 6a

where: a = length x length

              = 10 * 10

            a = 100 square centimeters

So that;

surface area of the cube = 6*100

                               = 600 sq cm

ii. Volume of a cube = l^3

                        = 10^3

volume of the cube = 1000 cubic centimeters

iii. The ratio of its surface area to volume = 600/ 1000

                                        = 6/ 10 = 3/ 5

2. The surface area of a cuboid = 2a + 2b + 2c

                = 2(a + b + c)

where a = b = c = length * width

a = length x width

  = 4*2

a = 8 sq. m

b = length x width

  = 6.2 x 4

b = 24.8 sq. m

c = length x width

      6.2 x 2

c = 12.4 sq. m

Surface area of the cuboid = 2(8 + 24.8 + 12.4)

                      = 90.4 sq. m

ii. volume of a cuboid = length x width x height

                             = 6.2 x 4 x 2

                             = 49.6 cubic meters

iii. The ratio of surface area to volume of the cuboid = 90.4/ 49.6

                                                 = 113/ 62

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The equation of the line that is perpendicular to y = -2x + 1​ will be y = (1/2)x + 1.

A straight line on the coordinate plane is represented by a linear function.

A linear function always has the same and constant slope.

The formula for a linear function is f(x) = ax + b, where a and b are real values.

As per the given line,

y = -2x + 1​

The slope(m) intercept form of a line is given as,

y = mx + c

By comparing,

Slope m = -2

The product of the slopes of the two perpendicular lines is -1.

Slope of perpendicular line (m') x -2 = -1

m' = 1/2

Put m' = 1/2 and (4,3) into y = m'x + C.

3 = (1/2)4 + C

C = 1

Thus, line will be y = (1/2)x + 1

Hence "y = (1/2)x + 1 will be the equation for the line that is perpendicular to y = -2x + 1.".

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Answer:

no

Step-by-step explanation:

the X corrdinate ( the first part of the ordered pair) has multiple repeating 0's.The numbers in the X cant repeat or its not a funtion