Rachel the Eagle flies at a rate of 1 mile per hour, as modeled by the equation y=x. She increases her rate by 3 miles per hour. Plot two ordered pairs showing the distances she will fly at 2 hours and 3 hours, respectively, at her new rate.

a) 7x=7

step-by-step explanation:

c. 1,233 miles

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

step-by-step explanation:

the triangles are similar. therefore the corresponding sides are in proportion:

              cross multiply

            divide both sides by 32