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nevsk [136]
3 years ago
6

A ball is dropped from the top of a building. The distance, y, in meters above the ground for the ball after t seconds can be mo

deled by the equation u=-9.8t^2+100.

Mathematics
1 answer:
Harlamova29_29 [7]3 years ago
7 0
The y-intercept of the equation is 100. It means that the ball is being dipped from 100 meters. An x-intercept would be when the ball would reach the ground. I believe after 98 seconds it would reach the ground but I’m not sure.
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2 years ago
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Esther drove to work in the morning at an average speed of 45 miles per hour. She returned home in the evening along the same ro
nydimaria [60]
The key is Esther travelled the same distance - x - in both her morning and evening commute.

45(time she took in the morning, or p) = x
30(time she took in the evening, or q) = x

Therefore 45(p) = 30(q), or divide both sides by 5 and get 9(p) = 6(q). I know you can divide it further, but these numbers are small enough and it's not worth the time.

Since the whole trip took an hour, (p + q) = 60min, and so, p = 60-q.

Therefore 9(60-q) = 6q or 540-9q = 6q. So 540 = 15q, which makes q = 36. If q = 36, then by (p+q)=60, p (the time she took in the morning) must equal 24.

45 miles per hour, her speed in the morning, times (24/60) hours, her time, makes 18 miles travelled in the morning. If you check, 30 miles per hour times (36/60) hours also makes 18 miles in the evening.

<span>Hope that makes a little sense. And I also hope it's right</span>
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3 years ago
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What factors of 20 are also factors of 50
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The easiest way to find the factors of a pair of numbers, is simply to write out the factors until you find the ones that they have in common. So in this case, these factors would be listed as follows:
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From looking at these numbers, we can therefore see that the common factors are: 1,2,5,10
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15 times 7, which is 105.
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