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DedPeter [7]
3 years ago
15

Which graph shows a dilation?

Mathematics
2 answers:
dimulka [17.4K]3 years ago
6 0

Answer:

The third one.

Explanation:

A dilation is a shrink or a stretch of a figure.  

In a dilation, all sides either increase or decrease by the same scale factor.  Additionally, in a dilation the angle measures of the figure do not change.

In the first figure, we can see that the base angles of the pre-image are slightly different than those of the image.  This is not a dilation.

In the second figure, the angles are noticeably different; again, not a dilation.

In the fourth figure, much like the second figure, the angles are noticeably different.  This is not a dilation.

In the third figure, however, we can see that the slanted sides of the larger figure go through three boxes; they are three units long.  Additionally we can see that the slanted sides of the smaller figure go through 1 side; this is a dilation b a factor of 3.  

The base sides of the third figure, in the larger shape, are 6 units long; in the smaller figure, they are 2 units long.  This is a dilation by a factor of 3.

Roman55 [17]3 years ago
4 0

Answer:

<em><u>THE THIRD OPTION</u></em>

Step-by-step explanation:

I JUST TOOK THE QUIZ!!!!!!

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3 years ago
Write an equation that represents the line. Use exact numbers.
ioda

Answer:

y = -1/2 x - 3 1/2

Step-by-step explanation:

points (1, -4)   (3,-5)

slope = (y2-y1)/ (x2-x1)

slope = (-5--4)/(3-1)

          = (-5+4) /2

            =-1/2


point slope form of a line

y-y1 = m(x-x1)

y--4 = -1/2 (x-1)

y+4 = -1/2 (x-1)


if we want slope intercept form

distribute

y+4 = -1/2 x + 1/2

subtract 4 from each side

y+4-4 = -1/2 x + 1/2 -4

y = -1/2 x - 3 1/2

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3 years ago
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Answer:

x= 4/5

y= 2/5

Step-by-step explanation:

3x-y=2

2x+y=5

solve them so that they are in y=mx+b form

3x-y-3x=2-3x

-y= -3x+2

y= 3x -2

2x+y -2x= 2-2x

y= -2x+2

now use the substitution method to get your points

3x -2= -2x+2

3x -2+2= -2x+2+2

3x= -2x+4

3x+2x= -2x+4+2x

5x=4

x= 4/5

now substitute x into any of the 2 equations

y= 3x -2

y= 3(4/5) -2

y= 2 2/5 -2

y= 2/5

Hope this helped!

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