For AABC, ZA-4x+7, 2B-2x + 3, and ZC-6x - 10. If AABC undergoes a dilation by a scale factor of 2 to create AA'B'C' with
ZA-5x - 8, 2B-3x - 12, and ZC - 7x - 25, which confirms that ABC-AA'B'C by the AA criterion?
ZA-ZA-47" and ZB-ZB - 23°
ZA-ZA-47º and Zc-ZC - 50°
ZB-ZB' - 33 and Zc-ZC - 80°
AN
D
)
ZB-ZB' -23° and ZC-ZC - 45°

hello from mrbilldoesmath!

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

step-by-step explanation:

this can be solved first with pythagorean theorem, which tells us to square both legs of the triangle and sum it. this will be equal to the square of the hypotenuse.

the hypotenuse is the side "opposite" the 90 degree angle, which is x.

so we can write using pythagorean theorem,

simplifying:

to further simplify this radical, we need to use the property  

thus