Which of the following is true for the interval from 3-5 seconds

Mathematics

1 answer:

kondaur [170]2 years ago

6 0

Answer:

Option C

Step-by-step explanation:

The given function is: $h(t)=-16t^2+80t+108$ .

$h(5)=-16(5)^2+80(5)+108=108$ .

$h(3)=-16(3)^2+80(3)+108=204$ .

The average rate of change of this function on the interval t=3 to t=5 is given by:

$\frac{h(5)-h(3)}{5-3}$

$\frac{204-108}{2}=-48$

Since the average rate of change is negative on the interval 3-5 seconds, it means the ball is moving downwards at an average rate of 48 feet per second.

The correct choice is C.

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Answer:

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Triangle HIJ has vertices H(1, 7) , I(−4, −2) , and J(−3, 5) . Write the coordinate notation for a translation of 3 units right

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Step-by-step explanation:

(x, y) -> (x+3, y+4)

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so, all points go through this translation

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1 year ago

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To find the slope of a line that goes through given points with known coordinates, you divide the subtraction of the y of the second point minus the y of the first point, by the subtraction of the x of the second point minus the x of the first point:
m = (yB-yA) / (xB-xA)

Let A(8,5) and B(6,7).
With yB = 7; yA = 5; xB = 6; xA = 8
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So the slope of the line that goes through the given points (8,5) and (6,7) is m = -1.

I've added a pic of the line with both points under the answer.

Hope this Helps! :)