Answer:
hope it helps u
Step-by-step explanation:
7y + 4x - 10 + 5y - 5 + x
= 7y+5y+4x+x–10–5
= 12y+5x–15
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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Answer:
V = 240 
Step-by-step explanation:
To find the volume of a rectangular prism use this equation:
V = l*w*h
l = length (20 cm)
w = width (4 cm)
h = height (3 cm)
Plug all these values into the equation and solve:
V = (20 cm)(4 cm)(3 cm)
V = (80 
)(3 cm)
V = 240
Therefore, the volume of the rectangular prism is 240 .
I hope this helps! Good luck!
