You can model that arch of a building entrance by using the equation y=−13(x−5)(x−6), where x and y are measured in feet. The x-axis represe

Question

You can model that arch of a building entrance by using the equation y=−13(x−5)(x−6), where x and y are measured in feet. The x-axis represents the ground. Find the width of the arch at the ground.

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Brielle 1 week 2022-01-12T07:12:45+00:00 1 Answer 0 views 0

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    2022-01-12T07:14:36+00:00

    Answer:

    1 unit

    Step-by-step explanation:

    The arch has the shape of an inverted parabola.

    It intersects the x-axis (the ground) at the roots of the equation

    -13(x – 5)(x – 6) = 0

    Since the equation is already factored, we solve the equation by setting x – 5 equal to zero and x – 6 equal to zero and solving the equations.

    x – 5 = 0 or x  6 = 0

    x = 5 or x = 6

    The roots of the equation are x = 5 and x = 6.

    The width is the distance between x = 5 and x = 6.

    6 – 5 = 1

    The width of the arch at the ground is 1 unit.

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