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nexus9112 [7]
3 years ago
7

Write (8a^-3)^2/3 in a simplest form. a. a^2/4 b. 4a^2 c. 1/4a^2 d. none of these

Mathematics
1 answer:
xz_007 [3.2K]3 years ago
3 0
(8a^{-3})^\frac{2}{3}=(8 \cdot \frac{1}{a^3})^\frac{2}{3}=(\frac{8}{a^3})^\frac{2}{3}=\sqrt[3]{(\frac{8}{a^3})^2}=\sqrt[3]{\frac{64}{a^6}}=\frac{\sqrt[3]{64}}{\sqrt[3]{a^6}}=\frac{4}{a^2}

It doesn't equal any of the answers A, B, C.
The answer is D.
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Please help it will help a lot i really need this!!
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Answer:

A' = (0,0)

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It is not a rigid motion.

Step-by-step explanation:

To use the mapping rule, substitute the original x and y values in it.

The coordinates of A are (0,0).

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Using the mapping rule, the y coordinate of A' = (1/2)x0=0

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Using the mapping rule, the y-coordinate of B' = (1/2)x0=0

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Using the mapping rule, the x-coordinate of C' = 2x4=8

Using the mapping rule, the y-coordinate of C' = (1/2)x4=2

Therefore the image of C' will be located at coordinate (8,2)

The coordinates of D are (0,4)

Using the mapping rule, the x-coordinate of D' = 2x0 = 0

Using the mapping rule, the y-coordinate of D' = (1/2)x4=2

Therefore the image of D' will be located at coordinate (0,2)

<em>Is the transformation a rigid motion?</em>

NO, this transformation is not a rigid motion because the relative distance between the points does not stay the same after they have been transformed. The transformation is not a translation , rotation, reflection, nor glide reflection.

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