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2 years ago

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x-9}{15} =\frac{2x-9}{10\\}" alt="\frac{x-9}{15} =\frac{2x-9}{10\\}" align="absmiddle" class="latex-formula">

1 answer:

motikmotik2 years ago

5 0

Step-by-step explanation:

$\frac{x - 9}{15} = \frac{2x - 9}{10} \\$

$\frac{x - 9}{3} = \frac{2x - 9}{2} \\$

$2( x - 9) = 3(2x - 9) \\$

$2x - 18 = 6x - 27$

$27 - 18 = 6x - 2x$

$9 = 4x$

$x = \frac{9}{4} \\$

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3 years ago

Read 2 more answers

How much is point (-24,-12) dilated by to get to (-18,-9)?

Anna [14]

Answer:

Dilation factor = 0.75.

Step-by-step explanation:

One point on the xy-plane is (-24,-12). The transformation is the dilation which is done on the point and the image is given by (-18,-9). Dilation changes the size of the shape according to the dilation factor. If the original x-coordinate is -24, then the image will be calculated by multiplying the original point with the dilation factor. Therefore, -18= -24 * k, where k is the unknown dilation factor. Simply solve the equation for k.

24k = 18.

k = 18/24 = 3/4 = 0.75.

Similarly, 12k = 9. k = 9/12 = 3/4 = 0.75.

So the point (-24,-12) dilated by k=0.75 to get to (-18,-9)!!!

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3 years ago