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faust18 [17]
3 years ago
10

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

Mathematics
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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Answer:

It will take 6 seconds for the ball to reach the ground.

Velocity: -192\frac{\text{m}}{\text{s}}.

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:

576-16t^2=0

Let us solve for t.

576-576-16t^2=-576

-16t^2=-576

\frac{-16t^2}{-16}=\frac{-576}{-16}

t^2=36

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

\sqrt{t^2}=\sqrt{36}

t=6

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.

s=576-16t^2

s'=\frac{d}{dt}(576)-\frac{d}{dt}(16t^2)

s'=0-32t

s'(6)=-32(6)

s'(6)=-192

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

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