The height is 9.875 feet from which the goalkeeper catches the ball.
The player kicks soccer from a height of 2 feet
x = 0 and y = 2
Maximum height of 20 feet after traveling 40 feet
x = 40, y = 20
So let y = a(x - 40)² + 20 ( the path of parabola)
Since x = 0 , y = 2
So, 2 = a(0 - 40)² + 20
2 = 1600a + 20
-18 = 1600a
a = - 9/800
Thus, y = -9/800(x - 40)² + 20
Since the soccer is caught by the goalkeeper 70 feet from where it was kicked
x = 70
So at this time,
y = -9/800 ( 70 - 40)² + 20
= -9/800 × 900 + 20
= - 81/8 + 20
= 79/ 8
= 9.875 feet
Therefore the height at which the goalkeeper catches the ball is 9.875 feet.
To know more about the height refer to the link given below:
brainly.com/question/27030273
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The cube has 6 this same faces.
Therefore the surface area is equal 6 · 7cm² = 42cm²
D. it represents the product of two rational numbers and is equivalent to an irrational number
Each variable used is the first letter of each of their names.
t+b+c=87
c=2t
b=t+7
Substitute for b and c
t+ (t+7)+2t= 87
4t+7=87
4t=80
t=20
Plug in the known t value.
c=2(20)
c=40
b=20+7
b=27
Final answer: Tammy=$20, Boris= $27, Carlos=$40
