Write an equation in slope-intercept form (y=mx+b) for a line that passes through (-8, 1) and is perpendicular to y = 2x - 17

Step-by-step explanation:

(-8,1) is ⊥ to y=2x-17

from y=mx+c

comparing with

y=2x-17

m₁₌2

for perpendicularity m₂=-1/m₁

m₂₌-1/2

equation of a line with one point y-y₁/x-x₁=m

(-8,1) are x₁ and y₁ respectively

y-1/x-(-8)=-1/2

y-1/x+8=-1/2

cross multiply

2(y-1)=-1(x+8)

2y-2=-x-8

2y=-x-8+2

2y=-x-6

divide both side by 2

y=-1/2x-3

30 feet

step-by-step explanation:

that would be 2 1/2 * 12

= 24 + 6

= 30 feet   (answer)

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