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:
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If we plug in d = 0 (to indicate no desserts are ordered), then we'll get
t = 1.4*d + 9.1
t = 1.4*0 + 9.1
t = 9.1
indicating that, on average, the server expects to get $9.10 in tips if no desserts are ordered
This is why the answer is choice D)
Answer:
2.0
Step-by-step explanation:
Subtract the smaller number from the larger to find their difference:
1.5 -(-0.5) = 2.0
The distance between the given values is 2.0.
6/10 rounded to the nearest tenth inches a hour of rain fell
