1. Write the equation that models the height of the roller coaster. Start by writing the equation of the circle. (Recall that the general fo

Question

1. Write the equation that models the height of the roller coaster. Start by writing the equation of the circle. (Recall that the general form of a circle with the center at the origin is x2 + y2 = r2. (10 points)

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Neala 3 years 2021-08-31T22:46:15+00:00 1 Answers 206 views 0

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  1. diemkieu
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    2021-08-31T22:47:45+00:00
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    Answer:

    y = \sqrt{900 - x^2

    Step-by-step explanation:

    Given

    From the complete question, we have:

    r=30 — radius

    Required

    Expression for the height of the roller coaster

    We have:

    x^2 + y^2 = r^2 — equation of circle

    Substitute 30 for r

    x^2 + y^2 = 30^2

    x^2 + y^2 = 900

    Since the roller coaster is half of the circle, the height is defined by y.

    So: make y the subject

    y^2 = 900 - x^2

    Take square roots

    y = \sqrt{900 - x^2

    Hence, the height is:

    \sqrt{900 - x^2

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