Answer:
A.m = -3
Step-by-step explanation:
This equation is written in point slope form
y-y1 = m(x-x1)
y +2 = -3(x – 7)
y - -2 = -3(x – 7)
The slope is -3 and the point is (7, -2)
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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The inverse of f does NOT exist. The reason why is because the function fails the horizontal line test. Recall that the horizontal line test is a test where you try to see if you can pass a single horizontal line through more than one point on the function curve. If you can get the horizontal line to pass through more than one point, then it fails the test. It's very similar to the vertical line test.
Answer:
Yes
Step-by-step explanation:
You see that angle D and angle A are congruent, and you see that angle C and angle F are congruent. In addition, line AC is congruent to DF. This means that yes, those triangles are congruent because of the ASA postulate.
Answer:
x=-4
y=-3
Step-by-step explanation:
2(-4y)+7y=3
-8y+7y=3
y=-3
