Which of the following equations is perpendicular to y=2x+5y=2x+5 and passes through the point (4,6)?4,6?
A
y=−12x+8y=-12x+8
B
y=−12x−2y=-12x-2
C
y=2x+8y=2x+8
D
y=2x−2

answer: what

step-by-step explanation:

what is the information provided?

step-by-step explanation:

hello from mrbilldoesmath!

answer:

(7 x + 6 y) (49 x^2 - 42 x y + 36 y^2)

discussion:

the trick is to recognize that 343 = 7^3 and 216 = 6^3 and, in general,

a^3 + b^3 =   (a + b) (a^2 - a b + b^2).

in our case

343x^3+216y^3   =   (7x)^3 + (6y)^3

so take a = 7x and b = 6y in the above equation to get the answer.

you,

mrb