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3 years ago

Help me solve this please I’m struggling

Mathematics

1 answer:

mrs_skeptik [129]3 years ago

7 0

9514 1404 393

Answer:

9.5
maximum, 34.5, 5
10.9

Step-by-step explanation:

I find it convenient to use a graphing calculator to graph the function.

The "start" is x=0, where the distance from the sprinkler head is 0 feet. The value of h(0) is 9.5, the height of the sprinkler head.

The irrigation system is positioned  9.5  feet above the ground.

The graph shows the vertex of the curve is (5, 34.5), meaning that a height of 34.5 feet is reached 5 feet horizontally from the sprinkler.

The spray reaches a  maximum  height of  34.5  feet at a horizontal distance of  5  feet away from the sprinkler head.
The spray reaches all the way to the ground at about  10.9  feet away.

The graph shows the x-intercept at about 10.9. That is where the height of the spray is 0 feet above the ground.

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