Answer:
D) y=14
Step-by-step explanation:
2×5+4
Two multipled by five then add 4 is 14
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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:
B
Step-by-step explanation:
Just make sure that the x value is not being repeated twice. because one of the given points is (4,9) you cannot have the point (4,0). X value cannot repeat in a valid function.
a is SSS, c is SAS and d is ASA, all good congruent triangle theorems.
b is AAA, good to show similar triangles, not necessarily congruent triangles.
Answer: b
