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densk [106]
3 years ago
8

If two cowboys leave a ranch at 9:00 am, how far apart will they be at 11:00 am if one travels directly north at 20 mph and the

other travels directly west 15 mph?
Mathematics
1 answer:
tresset_1 [31]3 years ago
5 0
They will be 50 miles apart.
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Answer:

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Step-by-step explanation:

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suppose that a water fountain produces a stream of water that follows the shape of a parabola. assigning the origin of a coordin
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The quadratic regression equation for the stream of water is y=-0.139x^{2} +1.667x {parabola}

     

Given that the water stream produced by fountain is parabola

Vertex of parabola is (6,5) , parbola is facing downward,axis of symmetry of parabola is x=6 and parabola passes through (0,0)

according to symmetry the third point on the parabola is (12,0)

General equation for a parabola⇒ Y=-4aX^{2}

⇒(y-5)=-4a(x-6)^{2}    { as the Vertex of parabola is (6,5) }

⇒(y-5)=-4a(x^{2} +36-12x)

subtituting (0,0) in the equation to get the value of a

⇒-5=-4a(36)

⇒ a=\frac{-5}{144}                      

equation of parabola⇒(y-5)=-4( \frac{5}{144})(x-6)^{2}

Therefore,The quadratic regression equation for the stream of water is y=-0.139x^{2} +1.667x

Learn more about parabola here:

brainly.com/question/21685473

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