A football player attempts to kick a football over a goal post. The path of the football can be modeled by the function h(x)= -1/225x^2+ 2/3x, where x is the horizontal distance from the kick, and h(x) is the height of the football above the ground, when both are measured in feet. On the set of
axes below, graph the function y = h(x) over the interval
0 = X = 150. (Use the graph to show this)

Determine the vertex of y = h(x). Interpret the meaning of this vertex in the context of the problem.

The goal is 10 feet high and 45 yards away from the kick. Will the ball be high enough to pass over the the goal post? Justify your answer.

the ratio of white tiles to blue tiles is 48: 16. the ratio in it's simplest form is 3: 1.

step-by-step explanation:

ratio: take the first number and add a colon next to it, then add the second number after that. make sure the ratio order matches up with the written problem!

simplest form: we can simplify the ratio 48 : 16 by dividing both terms by the greatest common factor (gcf).

the gcf of 48 and 16 is 16.

divide both terms by 16:

48 ÷ 16 = 3

16 ÷ 16 = 1

reducing to simplest form:

48 : 16 = 3 : 1

30

step-by-step explanation:

idk

i hope i

8

step-by-step explanation:

just put √(2) * √(32) into a calculator. that will make the answer be 8.

answer:   28.56 feet (approx)

step-by-step explanation:

since, triangle abc has measure of angle c equal to 55 degrees, measure of angle abc equal to 90 degrees, and length of bc equal to 20 feet.

we have to find out the measurement of segment ab.

therefore, tan 55° =

but bc = 20 feet.

⇒ tan 55 ° =  

⇒ ab = 20 × tan 55 °

⇒ ab = 20 × 1.42814800674

⇒ ab = 28.5629601348   ≈ 28.56 feet