Which equation represents the line that is perpendicular to y=1/6 & passes through (-8,-2)? a) y = -6
b) y = -8
c) x = -8
d) x = -2

x = -8

Step-by-step explanation:

slope of y = 1/6 is zero

the negative reciprocal of zero is considered to be 'undefined', which is the slope of x=-8 (or x = 'any number')

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