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SVEN [57.7K]
3 years ago
12

A leaf is falling from the top of a tree. The height of the leaf in feet, y, can be found using the function y = -3.5x + 28, whe

re x is the time in seconds the leaf has been in the air. How many seconds did it take the leaf to reach the ground?​
Mathematics
1 answer:
Bess [88]3 years ago
5 0

Answer:

It took 8 seconds for the leaf to reach the ground.

Step-by-step explanation:

The height of the leaf in feet can be found using the function:

y = -3.5*x + 28

where x is the time in seconds the leaf has been in the air.

You want to know how long it took for the blade to reach the ground. That is, the time it took for the blade to reach a height of 0 feet. So, replacing this value in the expression:

0= -3.5*x + 28

and solving you get:

-28= -3.5*x

(-28)÷ (-3.5)=x

8=x

<u><em> It took 8 seconds for the leaf to reach the ground.</em></u>

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3 years ago
5. To get to the library from his house, Robert biked 6 kilometers due east and then
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Answer:

24 kilometers.

Step-by-step explanation:

The shortest path between two points is a straight segment that connects the two points.

Refer to the diagram attached. The 6-km segment and the 8-km segment are normal to each other. Together with the segment that joins the library and the house, the three segments now form a right triangle.

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The length of the hypotenuse can be found with the Pythagorean Theorem.

\begin{aligned}\text{Hypotenuse} &= \sqrt{(\text{Leg 1})^{2} + (\text{Leg 2})^{2}}\\&= \sqrt{6^{2} + 8^{2}}\\&= \sqrt{36 + 64} \\&= \sqrt{100}\\&= \rm 10\;km\end{aligned}.

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2 years ago
Read 2 more answers
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Answer: Third option is correct.

Step-by-step explanation:

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3 years ago
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