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3 years ago

Please Help, i will give brainiest. Please solve the problem about Sara kicking football.

Mathematics

1 answer:

sashaice [31]3 years ago

8 0

Answer:

20 m

Step-by-step explanation:

The maximum height is given by the vertex form of the equation, that is

y = a(x - h)² + k

where (h, k) are the coordinates of the vertex and a is a multiplier

Given

h(t) = - 5t² + 20t ← factor out - 5 from each term

= - 5(t² - 4t)

Using the method of completing the square

add/subtract ( half the coefficient of the t- term)² to t² - 4t

h(t) = - 5(t² + 2(- 2)t + 4 - 4 )

= - 5(t - 2)² + 20 ← in vertex form

with vertex = (2, 20 )

The maximum height is at the value of k = 20

That is the maximum height is 20 m

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