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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Answer:
Mi=chael cut out 65% of the shapes. He cut out 32 shapes. How many shapes does Michael need to cut out altogether?
65x/100= 32
65x= 100 x 32
65x= 3200
x= 49.23
michael needs to cut 49 shapes
Step-by-step explanation:
To find the unit price (price per ounce) for a problem where 8.2 ounces of something costs $1.12, you would divide the cost by the number of ounces. So, dividing $1.12 by 8.2 ounces, you would get a solution of $.136 per ounce. Most stores would round this up to $.14 per ounce.
Answer:
one is plus + and the other is mines -
Step-by-step explanation:
Yes,you got the correct answer!
To prove x≥-32:
Therefore x≥32.
Hope it helps!
