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Lelechka [254]
3 years ago
13

Can someone help solve this? 6g+4(-5+4g)=1-g

Mathematics
1 answer:
Marina86 [1]3 years ago
6 0

6g + 4(-5+4g) = 1 - g

6g - 20 + 16g = 1 - g

22g - 20 = 1 - g

22g + g = 1 + 20

23g = 21

g = 21/23 or 0.913043 in decimal form.

If you have any questions on how I got to this answer, please ask. :)

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A basketball player stands near the middle of the court and throws the ball toward the basket.
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Answer:

A function to represent the height of the ball in terms of its distance from the player's hands is y=\frac{-1}{54}(x-18)^2+12

Step-by-step explanation:

General equation of parabola in vertex form y= a(x-h)^2+k

y represents the height

x represents horizontal distance

(h,k) is the coordinates of vertex of parabola

We are given that The  ball travels to a maximum height of 12 feet when it is a horizontal distance of 18 feet from the player's hands.

So,(h,k)=(18,12)

Substitute the value in equation

y=a(x-18)^2+12  ---1

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So,6=a(0-18)^2+12

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Substitute the value in 1

So,y=\frac{-1}{54}(x-18)^2+12

Hence a function to represent the height of the ball in terms of its distance from the player's hands is y=\frac{-1}{54}(x-18)^2+12

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