The arch support of a bridge can be modeled by y=-0.0012x^2, where x and y are measured in feet. Find the height and width of the arch.

Question

Mathematics

Johnathan Joyce

1 October, 13:20

The arch support of a bridge can be modeled by y=-0.0012x^2, where x and y are measured in feet. Find the height and width of the arch.

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Karson Hancock · Answer 1

450 feet at ground level

Step-by-step explanation:

The width of the bridge at ground level will be where the function intercepts the x-axis also known as the roots or zeros of the function. They are found using the zero product property to set each factor equal to 0.

This means (x-225) = 0 and (x + 225) = 0. So x = - 225, 225.

This means the width is the absolute value of |-225| + 225 since distance cannot be negative. This makes it 450 feet.