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3 years ago

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Find two numbers whose sum is 29 and whose difference is 15

1 answer:

gizmo_the_mogwai [7]3 years ago

4 0

The two numbers are 22 and 7.
22 + 7 = 29
22 - 7 = 15
here is how we can find these numbers;
let a and b are two numbers
a + b = 29
a - b = 15
a = 15 + b
now put this value of a in any of the equation
a + b = 29
15 + b + b = 29
15 + 2b = 29
2b = 29 - 15
2b = 14
b = 7
now put the value of b to find the value of a;
a = 15 + b = 15 + 7 = 22
a = 22

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A ball dropped from the top of a building has a height of s =576- 16t2 meters after t seconds. How long does it take the ball to

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Step-by-step explanation:

We have been given that a ball dropped from the top of a building has a height of $s =576-16t^2$ meters after t seconds.

The ball will hit the ground, when height will be 0 meters, so we will equate height with 0 as:

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$576-576-16t^2=-576$

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Taking positive square root of both sides, we will get:

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Therefore, it will take 6 seconds for the ball to reach the ground.

To find the ball's velocity at $t=6$ , we will take the derivative of position function and evaluate derivative at $t=6$ .

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Therefore, the ball's velocity at the moment of impact would be $-192\frac{\text{m}}{\text{s}}$ .

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