Question 132160: hi!
my problem is now: THE DISTANCE BETWEEN THE ROAD OF A BRIDGE AND THE TOP PART OF ITS ARCH IS 3m. IF THE ARCH OF THE BRIDGE IS GIVEN BY THE EQUATION
h(x)=7x-x^2, FIND THE HEIGHT OF THE BRIDGE.
thank you!
Answer by stanbon(75887)   (Show Source):
You can put this solution on YOUR website! THE DISTANCE BETWEEN THE ROAD OF A BRIDGE AND THE TOP PART OF ITS ARCH IS 3m. IF THE ARCH OF THE BRIDGE IS GIVEN BY THE EQUATION
h(x)=7x-x^2, FIND THE HEIGHT OF THE BRIDGE.
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Maximum height of the arch occurs at x = -b/2a = -7/(2*-1) = (7/2)
The height of the arch is f(7/2) = 7(7/2)-(7/2)^2 = 49/2 - 49/4 = 49/4= 12.25m
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The height of the bridge is 12.25-3 = 9.25 meters
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Cheers,
Stan H.
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