SOLUTION: A bridge is supported by three arches. The function that describes the arches is h (x)= -0.2x square + 3.0x, where h (x) is the height, in meters, of the arch above the ground at

Question 1036396: A bridge is supported by three arches. The function that describes the arches is h (x)= -0.2x square + 3.0x, where h (x) is the height, in meters, of the arch above the ground at any distance, x, in metres, from one end of the bridge. How tall is each arch?
Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
A bridge is supported by three arches.
The function that describes the arches is h (x)= -0.2x square + 3.0x, where h (x) is the height, in meters, of the arch above the ground at any distance, x, in metres, from one end of the bridge.
How tall is each arch?
:
Maximum occurs on the axis of symmetry, find that using x = -b/(2a),where:
a = -.2
b = 3
x =
x = 7.5 meters
:
Find the max height, replace x with 7.5
h(x) = -.2(7.5^2) + 3(7.5)
h(x) = -.2(56.25) + 22.5
h(x) = -11.25 + 22.5
h(x) = 11.25 meters is the height of the arches
:
:
looks like this, green line is 11.25 meters

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