Mathematics: Aparabolic lattice arch is 8 feet high at the vertex. at a height of 4 feet, the width of the lattice is 4 ft. how wide is the lattice arch at ground level?

Aparabolic lattice arch is 8 feet high at the vertex.

Ответ:

ciaraCochran1876

14.03.2022

The arch is in the shape of an inverted parabola. The equation of the arch is found as follows:
$y=-ax^{2}+8$
Substituting the values at a height of 4 ft, we get:
4 = -4a + 8
a = 1
At ground level y = 0:
$0=-x^{2}+8$
$x=+- \sqrt{8}$
therefore the width of the arch at ground level is:
$2 \sqrt{8} \ feet$

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Ответ:

minaricks

11.05.2021

Mathematics

I’m pretty sure it the 3rd one

Sorry if I’m wrong

Have a nice day :)

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Aparabolic lattice arch is 8 feet high at the vertex. at a height of 4 feet, the width of the lattice is 4 ft. how wide is the lattice arch at ground level?

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