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allsm [11]
3 years ago
14

A ball is thrown upward from the top of a 40 foot high building at a speed of 80 feet per second. The ball's height above

Mathematics
1 answer:
tekilochka [14]3 years ago
5 0

it takes 5 seconds to reach a height of 40 ft. and It takes 2.5 seconds to reach maximum height.

Let h(t) represent the height of the ball at time t.

Given that the height is given by:

h(t) = -16t² + 80t + 40

1) For the ball to reach a height 0f 40 ft, h(t) = 40, hence:

40 = -16t² + 80t + 40

16t² - 80t = 0

t(t - 5) = 0

t = 0 or t = 5

Hence it takes 5 seconds to reach a height of 40 ft.

2) The maximum height is at h'(t) = 0,

h'(t) = -32t + 80

-32t + 80 = 0

32t = 80

t = 2.5

It takes 2.5 seconds to reach maximum height.

Find out more at: brainly.com/question/11535666

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Answer:

Step-by-step explanation:

use formula

A(x,y)=A'(-x,y)

(-2,-3)=(2,-3)

4 0
3 years ago
Simplify -4(3-1)+2 <br><br>​
nikdorinn [45]

To solve this you must use the rules of PEMDAS (Parentheses, Exponent, Multiplication, Division, Addition, Subtraction)

First we have parentheses.

-4(3 - 1) + 2

3 - 1 = 2

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We have no exponents so go on to multiplication

-4(2) + 2

-4 * 2 = -8

-8 + 2

No division so go to addition

-8 + 2

When adding a positive number with a negative number you will act as if you are subtracting the two numbers, then take the sign of the largest number  (disregarding the signs). In this case the largest number is 8 and its sign is negative. Your answer will have a negative sign.

-6

Hope this helped!

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7 0
3 years ago
2[5+2(8-6)] I need help
Sergeu [11.5K]
2[5+2(8-6)]
2[5+2(2)]
2[5+4]
2[9]
18
7 0
3 years ago
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1.
9966 [12]

Answer: 30

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8 0
2 years ago
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I NEED HELP
Dmitrij [34]

Answer:

-82, -83, -84

Step-by-step explanation:

Using a variable and corresponding expressions, we can set the sum of the consecutive integers equal to -249 and solve:

first integer: x

second integer: x + 1

third integer: x + 2

x + x + 1 + x + 2 = -249

Combine like terms: 3x + 3 = -249

Subtract 3 from both sides: 3x + 3 - 3 = -249 - 3  or 3x = -252

Divide both sides by 3: 3x/3 = -252/3

Solve for x: x = -84

first integer: -84

second integer: -84 + 1 = -83

third integer: -84 + 2 = -82

8 0
3 years ago
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