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Vsevolod [243]
3 years ago
7

A physics student stands at the top of a hill that has an elevation of 56 meters. He throws a rock and it goes up into the air a

nd then falls back past him and lands on the ground below. The path of the rock can be modeled by the equation y=-0.04x^2+1.3x+56 where x is the horizontal distance, in meters, from the starting point on the top of the hill and y is the height, in meters, of the rock above the ground.
How far horizontally from it's starting point will the rock land? Round your answer to the nearest hundredth.

A. 56.00m
B. 24.54m
C. 57.04m
D. 57.26m
Mathematics
1 answer:
Virty [35]3 years ago
3 0
round your answer to the nearest hundredth place the answer is a
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2 years ago
My answer is 8, but I'm not completely sure, if I'm wrong could someone please explain how to find the length.
Verdich [7]

By knowing that S is bisected by the line shown, we will conclude that PD = 8

So here we know that PC = 8, we also can see that:

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Notice that because the blue line bisects S, the angle at "S" on both of these right triangles is the same, and because both of these are right triangles, both must have a 90° angle.

Finally, if two angles are equal, then the 3 angles must be equal between these two triangles.

And notice that both of these triangles share one side, then:

Triangles we know for sure that triangles PCS and PDS have the same angles and one equal side.

This implies that the triangles are congruent, thus, the <u>measures of the corresponding sides must be the same.</u>

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Then the length of the shorter side of both triangles must be the same, in triangle PCS the short leg measures 8 units, then in triangle PDS the short leg, PD, also must measure 8 units.

So you are correct.

If you want to learn more about congruent triangles, you can read:

brainly.com/question/12077512

8 0
2 years ago
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zimovet [89]

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Step-by-step explanation:

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8 0
3 years ago
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Answer:

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8 0
2 years ago
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