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2 years ago

What is the rate of change for the following? (4,5) (2, 15)

Mathematics

2 answers:

Alex2 years ago

6 0

Answer:

-5

Step-by-step explanation:

Given these two points, we can just plug them into the slope formula.

$Slope=\frac{y_2-y_1}{x_2-x_1}$

$\frac{15-5}{2-4}\\\\\frac{10}{-2} \\\\-5$

Evgen [1.6K]2 years ago

3 0

Answer:

-5

Step-by-step explanation:

Rate of Change also slope

Slope = y-y1/x-x1 = tanα = y/x

15-5/2-4 = 10/-2 =-5

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Solve for y math problem

o-na [289]

Answer:

The answer is 4/5

Step-by-step explanation:

-1/2 y ≤ -2/5

1/2y ≤ 2/5

y ≤ 2 × 2/5

y ≤ 4/5

Thus, The value of y is 4/5

-TheUnknownScientist 72

6 0

2 years ago

Blake and Ned work for a home remodeling business. They are putting the final touches on a home they renovated. Working alone, B

gizmo_the_mogwai [7]

Answer: The time taken by both of them if they work together is given by

$3\dfrac{3}{5}\ hours$

Step-by-step explanation:

Since we have given that

Time taken by Blake to paint one room = 9 hours

Time taken by Ned to paint one room = 6 hours

Work done by Blake = $\dfrac{1}{9}$

Work done by Ned = $\dfrac{1}{6}$

Total work done by both of them together is given by

$\dfrac{1}{6}+\dfrac{1}{6}\\\\=\dfrac{3+2}{18}\\\\=\dfrac{5}{18}$

So, the time taken by both of them if they work together is given by

$\dfrac{18}{5}=3\dfrac{3}{5}\ hours$

7 0

3 years ago

Read 2 more answers

graph the image of this figure after a dilation with a scale factor of 2 centered at the origin use the polygon tool to graph t

Iteru [2.4K]

Answer:

For this answer, I will label the points. Starting at the top left, then top right, then bottom left and bottom right let the points be A, B, C, D.

The new coordinates will be

A(-4,10)

B(4,10)

C(-4,4)

D(4,4)

Step-by-step explanation:

The question is asking for a dilation which is a transformation that makes an image proportionately smaller or larger by a scale factor. The scale factor is how much smaller or larger the shape will be, if the scale factor is between 0 and 1 then it will shrink, if it is greater than one then the image will stretch (be larger). In this case, the scale factor is 2, therefore the image will stretch. Since the center of dilation is the origin, to find the new coordinates simply multiply each x and y value by the scale factor. So A's original coordinates (-2,5) become (-4,10) and so forth. Therefore the equation for this dilation is (x, y) → (2x,2y).

4 0

2 years ago

Read 2 more answers

Find , , and if and terminates in quadrant .

ioda

sin2x =12/13

cos2x = 5/13

tan2x = 12/5

STEP - BY - STEP EXPLANATION

What to find?

• sin2x

• cos2x

• tan2x

Given:

tanx = 2/3 = opposite / adjacent

We need to first make a sketch of the given problem.

Let h be the hypotenuse.

We need to find sinx and cos x, but to find sinx and cosx, first determine the value of h.

Using the Pythagoras theorem;

hypotenuse² = opposite² + adjacent²

h² = 2² + 3²

h² = 4 + 9

h² =13

Take the square root of both-side of the equation.

h =√13

This implies that hypotenuse = √13

We can now proceed to find the values of ainx and cosx.

Using the trigonometric ratio;

$\sin x=\frac{opposite}{\text{hypotenuse}}=\frac{2}{\sqrt[]{13}}$ $\cos x=\frac{adjacent}{\text{hypotenuse}}=\frac{3}{\sqrt[]{13}}$

And we know that tanx =2/3

From the trigonometric identity;

sin 2x = 2sinxcosx

Substitute the value of sinx , cosx and then simplify.

$\sin 2x=2(\frac{2}{\sqrt[]{13}})(\frac{3}{\sqrt[]{13}})$ $=\frac{12}{13}$

Hence, sin2x = 12/13

cos2x = cos²x - sin²x

Substitute the value of cosx, sinx and simplify.

$\begin{gathered} \cos 2x=(\frac{3}{\sqrt[]{13}})^2-(\frac{2}{\sqrt[]{13}})^2 \\ \\ =\frac{9}{13}-\frac{4}{13} \\ =\frac{5}{13} \end{gathered}$

Hence, cos2x = 5/13

tan2x = 2tanx / 1- tan²x

$\tan 2x=\frac{2\tan x}{1-\tan ^2x}$ $=\frac{2(\frac{2}{3})}{1-(\frac{2}{3})^2}$ $=\frac{\frac{4}{3}}{1-\frac{4}{9}}$ $=\frac{\frac{4}{3}}{\frac{9-4}{9}}$ $=\frac{\frac{4}{3}}{\frac{5}{9}}$ $=\frac{4}{3}\times\frac{9}{5}=\frac{4}{1}\times\frac{3}{5}=\frac{12}{5}$