The height in feet of a thrown football is modeled by the equation f(t) = 6 + 30t – 16t?, where time t is measured in seconds.

a. What does the constant 6 mean in this situation?
situation?

b. What does the 30t mean in this situation?

c. How do you think the squares term -16t^2 affects the value of the function f? What does this term reveal about the situation?

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

you need to rotate this triangle about the origin 270 degrees clockwise to create the full square.