7.85
explanation
you multiply the two numbers together
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:
x=11
Step-by-step explanation:
Due to angles DCA and CAB being Alternate Interior Angles, we know that they will be equal. This means that
°
Next, we can find the measure of the angle DCE.
Angles BCE and BCA are supplementary. This means that they will add together to be 180°
This means that 180-BCE=BCA
Which means 
As all of the angles in a triangle must add together to be 180 degrees, we can set up the following equation
The fraction 123.5/100 or <span>1 47/200 are equivalent.</span>
16÷4=4 12÷4=8 8÷4= 4
16-4=12 12-4=8 8-4=4
