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intuitiverigor a parabolic arch has a height of 16 16 inches and a span of 40 40 inches. the height, in inches, of the arch at a point 5 5 inches from the center m m is:



Answer :

Height of the arch 5 inches from the center = 15 inches.

Arch has a height = 16 inches

An equation that models the arch is y = [tex]x^{2}[/tex] + 16

x is the horizontal distance from the center and y is the height.

The arch has a span of 40 inches, so the arch meets the ground 20 inches from the center. That means

0 = 400a + 16

a = - 1/25

Thus, the equation for height that is based on distance from the center is:

y = - 1/25[tex]x^{2}[/tex] + 16

= - 1/25 x [tex]5^{2}[/tex] = 16

= 15 inches

You can learn more about height from:

https://brainly.com/question/10726356

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