Shape 1 and shape 2 are plotted on a coordinate plane. Which statement about the shapes is true?

Mathematics

1 answer:

IRINA_888 [86]3 years ago

3 0

The shapes are irregular and is formed by a octagon and a rectangle (square kinda = rectangle)

But given your multiple choice...

1) Shape 1 and 2 isn't congruent so false.
2) Shape 1 and 2 don't share the same coordinates because of a prior translation so false.
3) Shape 1 and 2 isn't congruent so false.
4) Shape 1 could be translated onto shape 2, but it still would not be congruent, so true.

Therefore the 4th one is true.

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$\large\boxed{(2x+3)(4x^2-6x+9)}$

Step-by-step explanation:

$8=2^3\\\\8x^3=2^3x^3=(2x)^3\\\\27=3^3\\\\8x^3+27=(2x)^3+3^3\qquad\text{use}\ a^3+b^3=(a+b)(a^2-ab+b^2)\\\\=(2x+3)\bigg((2x)^2-(2x)(3)+3^2\bigg)=(2x+3)(4x^2-6x+9)$