Road Conatruction an archway over a road is cut out of rock. Its shape is modeled by the quadratic function y= -0.1x^2 + 12 for y > or = 0
Write an inequality that describes the opening of the archway
Write an inequality that describes the opening of the archway
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There are two places where y = 0. These are the left and right locations of the base of the archway.
0 = -0.1x² + 12
0.1x² = 12
x² = 120
x = ±√120 = ±2√30
So the opening of the archway is described by
-2√30 ≤ x ≤ 2√30
0 = -0.1x² + 12
0.1x² = 12
x² = 120
x = ±√120 = ±2√30
So the opening of the archway is described by
-2√30 ≤ x ≤ 2√30