Mathematics, 14.07.2019 14:30 sophie5064
The shape of the gateway arch in st louis, missouri, can be modeled by y=-0.0063x^2+4x, where x is the distance (in feet) from the left foot of the arch and y is the height ( in feet) of the arch above the graound. for what distances x is the arch more than 200 feet above the ground?
Answers: 1
. In order to solve for these x values, we now have to factor this. Start by moving the 200 over to the other side by subtraction. Using the quadratic formula is the only way to do this easily. 
. Now we simplify a bit:
. We then have 2 solutions that are found in 
and 
. Solving the first one gives us an x value of 57.72 feet, and solving the second one gives us an x value of 580.20 feet. Those are the x values where the arch is 200 feet above the ground. It will be on either side equally spaced from the vertex, which will be the highest point.
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The shape of the gateway arch in st louis, missouri, can be modeled by y=-0.0063x^2+4x, where x is t...
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