An engineer drew the graph of a new tire on a coordinate plane. The equation of the tire was x^2+y^2-26y=0. How many feet will the tire roll in 100 complete revolutions. If necessary, round your calculations to the nearest hundredths, and your final answer to the nearest whole number. Complete the explanation (look at picture)

answer: the answer is 23

step-by-step explanation:

ab will be equal to

answer: what are the following choices

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