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kramer
3 years ago
7

A ball is kicked upward with an initial velocity of 56 feet per second. The ball's height h (in feet) can be expressed as a func

tion of time t (in seconds) by the equation h = -16t2 + 56t. How much time does the ball take to return to the ground?
A) 1.75 seconds
B) 2.50 seconds
C) 2.75 seconds
D) 3.50 seconds
Mathematics
1 answer:
andrew11 [14]3 years ago
5 0

Answer:

  D)  3.50 seconds

Step-by-step explanation:

You are interested in the positive value of t such that h=0. Substituting 0 for h, we get ...

  0 = -16t^2 +56t

  0 = -16t(t -3.5) . . . . . factored form

The product is zero when the factors are zero. Here, the factor of interest is ...

  0 = t-3.5

  3.5 = t . . . . . add 3.5 to both sides

The ball takes 3.5 seconds to return to the ground.

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What is an equation of the line that passes through the points (1, 6)<br> and (1, 2)?
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Answer:y = -5x + 11

Step-by-step explanation:

First, find the slope (m) of the line that passes through these points:

m = (1-6) / (2-1) = -5/1 = -5

Then use the point slope formula to find the equation of the line:

m = (y-y0)/(x-x0)

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-5(x-2) = y-1

y - 1 = -5x+10

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8 0
3 years ago
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4 0
3 years ago
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A sailboat drifts 600 meters west, makes a turn and sails 800 meters south. How far is the sailboat from its original position?
Bezzdna [24]
The <span>Pythagorean theorem</span> is what is most useful here, and a calculator; for the following...
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andre [41]

Answer:

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Step-by-step explanation:

4 0
3 years ago
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sergey [27]

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4 0
3 years ago
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