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KatRina [158]
3 years ago
8

Use an equation to find the value of k so that the line that passes through the given points has the given slope. (

Mathematics
1 answer:
shutvik [7]3 years ago
3 0

The formula of a slope:

m=\dfrac{y_2-y_1}{x_2-x_1}

We have the points (4, -4) and (k, -1) and the slope m = 34.

Substitute:

\dfrac{-1-(-4)}{k-4}=34\\\\\dfrac{3}{k-4}=\dfrac{34}{1}\qquad|\text{cross multiply}\\\\34(k-4)=3\qquad|\text{use distributive property}\\\\34k-136=3\qquad|+136\\\\34k=139\qquad|:34\\\\k=\dfrac{139}{34}

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3 years ago
1) After a dilation, (-60, 15) is the image of (-12, 3). What are the coordinates of the image of (-2,-7) after the same dilatio
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Answer:

a) k = 5; (-10, -35)

Step-by-step explanation:

Given:

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Image = (-60,15)

The dilation about the origin can be given as :

Pre-Image(x,y)\rightarrow Image(kx,ky)

where k represents the scalar factor.

We can find value of k for the given co-ordinates by finding the ratio of x or y co-ordinates of the image and pre-image.

k=\frac{Image}{Pre-Image}

For the given co-ordinates.

Pre-Image = (-12,3)

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The value of k=\frac{-60}{-12}=5

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To find the image of (-2,-7), after same dilation, we will multiply the co-ordinates with the scalar factor.

Pre-Image(-2,-7)\rightarrow Image((-2\times5),(-7\times 5))

Pre-Image(-2,-7)\rightarrow Image(-10,-35) (Answer)

7 0
2 years ago
By which angle measures can the square be rotated so it maps onto itself?
Amanda [17]

The <em><u>correct answers</u></em> are:

90°, 180° and 270°

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360/4 = 90

This means that at all multiples of 90, the square will rotate onto itself.  This means that 90, 180 and 270 are all correct.

3 0
2 years ago
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