Is -8 - 2(3+2n)+7n equivalent to -30 - 13n

Mathematics

1 answer:

soldi70 [24.7K]3 years ago

4 0

Answer:

The terms are not equivalent

Step-by-step explanation:

-8 - 2(3+2n)+7n

Distribute the 2

-8 -6-4n+7n

Combine like terms

-14 +3n

That is not equal to -30 -13n

The terms are not equivalent

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Polygon ABCD is dilated, rotated, and translated to form polygon A′B′C′D′. The endpoints of AB are at (0, -7) and (8, 8), and th

Anton [14]

Rotation and translation are rigid transformations, they don't change figure sizes. Dilation change figure sizes increasing or decreasing them by scale factor.

First, find AB and A'B' by the formula:

$AB=\sqrt{(x_B-x_A)^2+(y_B-y_A)^2}= \sqrt{(8-0)^2+(8-(-7))^2}=\sqrt{8^2+15^2}=\sqrt{64+225}=\sqrt{289}=17,\\ \\A'B'=\sqrt{(x_{B'}-x_{A'})^2+(y_{B'}-y_{A'})^2}= \sqrt{(2-6)^2+(1.5-(-6))^2}=\sqrt{4^2+7.5^2}=\sqrt{16+56.25}=\sqrt{72.25}=8.5.$