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FrozenT [24]
3 years ago
15

Elizabeth and Markus are playing catch. Elizabeth throws the ball first. The height of the ball can be modeled by the equation h

= −8t(t − 9), where h is the height of the ball in feet and t is the time in seconds. Markus is distracted at the last minute and looks away. The ball lands at his feet. If the ball travels at a rate of 3.5 feet per second, how far is Markus standing from Elizabeth when the ball hits the ground?
Mathematics
1 answer:
astra-53 [7]3 years ago
5 0

Answer:

h=-5(16t-144t-7)

Step-by-step explanation:

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Step-by-step explanation:

The height of the swipe card is given by :

h(t)=-3t^2+15t+18 .....(1)

We need to find the maximum height of the swipe card and the time to reach the maximum height.

For maximum height, put dh/dt = 0

So,

\dfrac{d}{dt}(-3t^2+15t+18)=0\\\\-9t+15=0\\\\t=\dfrac{15}{9}\\\\t=1.67\ s

It will take 1.67 seconds to reach the maximum height.

Now, put t = 1.67 s in equation (1).

h(1.67)=-3(1.67)^2+15(1.67)+18\\\\=34.68\ feet

Hence, the maximum height of the swipe card is 34.68 feet and the time to reach this height is 1.67 s.

4 0
3 years ago
Select the correct answer from each drop-down menu.
ElenaW [278]

Answer:

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Step-by-step explanation:

If the step shown above results in point of intersection P, and the construction is completed by drawing ray DP, then this construction produces triangle DLP congruent to triangle BKJ. The angle at D will be congruent to the angle at B because CPCTC. Hence an angle congruent to a given angle will have been constructed.

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Answer:

Step-by-step explanation:

https://imgur.com/a/Wqzrtem

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4 years ago
Simplify. (-4·3·2)2 A)-48 B)-48 C)-576 D)576
Liono4ka [1.6K]

Hey there!

Your answer: -48

How?

(-4 × 3) = -12

               \downarrow

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                                \downarrow

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Your answer: -48  


4 0
4 years ago
5. Which is the best first step to solve 5x+12x = 40 by completing the square?
vichka [17]

Answer:

B

Step-by-step explanation:

7 0
3 years ago
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