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fomenos
3 years ago
15

4. A rock is thrown with a height equation of h = -16t2 + 64t + 5 (where h is the height of the rock in feet at any given time o

f t in seconds). Will it reach a height of 50 feet? Explain your answer.
Mathematics
1 answer:
boyakko [2]3 years ago
6 0

Answer:

Yes,  see below.

Step-by-step explanation:

Convert the equation to vertex form to find the maximum height:

h = -16t2 + 64t + 5

= -16(t^2 - 4t) + 5

= -16 [(t - 2)^2 - 4] + 5

= -16( t - 2)^2  + 64 + 6

= -16(t - 2)^2 + 69.

So the maximum height the rock reaches is 69 feet.

This height is reached at 2 time seconds.

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I believe you just multiply the two numbers together and get 2.665
3 0
3 years ago
which of the following formulas would find the lateral area of a right cylinder where h is the height and r is the radius
vlada-n [284]

Answer:

B. LA=2\pi rh

Step-by-step explanation:

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6 0
3 years ago
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I need help on 5 - 11
nalin [4]

5-11.

Positive 5 minus negative 11=

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3 years ago
Simplify <br><img src="https://tex.z-dn.net/?f=%20%20%5Csqrt%7B%20-%20180%7D%20" id="TexFormula1" title=" \sqrt{ - 180} " alt="
QveST [7]

Answer: (6\sqrt{5})i

This is the same as saying 6i\sqrt{5}

====================================================

Work Shown:

\sqrt{-180} = \sqrt{-1*36*5}\\\\\sqrt{-180} = \sqrt{-1}*\sqrt{36}*\sqrt{5}\\\\\sqrt{-180} = i*6*\sqrt{5}\\\\\sqrt{-180} = 6i\sqrt{5}\\\\\sqrt{-180} = (6\sqrt{5})i\\\\

where i = \sqrt{-1}

As the steps show above, the idea is to factor the radicand into smaller pieces where one of those pieces is the largest perfect square possible. In this case, 36 is the largest factor of 180 that's a perfect square. Then I used the rule \sqrt{A*B} = \sqrt{A}*\sqrt{B} to break up the root.

The parenthesis used at the very end is to help separate the 6\sqrt{5} from the i term. The "i" is not under the square root.

4 0
3 years ago
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Marianna [84]

Answer:

c

Step-by-step explanation:

3 and 3/7 ok hope it helps

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3 years ago
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