Leilani is practicing with a geometry tool to copy segments. The segment AB is dilated by a scale factor of k=2 with a center of dilation at the origin. She then reflects the dilated segment over the y-axis, then dilates the reflected segment with a scale factor of 1/2 with a center of dilation at C = (5, 5) to get the segment A'B'. What are the coordinates of segment A'B'?

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step-by-step explanation:

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answer:   x (x+6)^2, choice b

discussion:

factor x out of the equation:

x^3 + 12x^2 + 36x = x (x^2 + 12x + 36).

note that 6+6 = 12 and 6*6 = 36 so the above factors into:

x (x+6)^2

which is choice b

you,

mrb

y= 2x+7

changed to y= 5x +7

as slope is increased from 2 to 5

therefore it would be less steeper

so, option d) is correct