SOLUTION: The curve of the arch on a bridge can be modelled by the equation h=-0.0425d^2+3.57d where h represents the height and d represents the horizontal distance both measured in me

Algebra ->  Quadratic Equations and Parabolas  -> Quadratic Equations Lessons -> SOLUTION: The curve of the arch on a bridge can be modelled by the equation h=-0.0425d^2+3.57d where h represents the height and d represents the horizontal distance both measured in me      Log On


   

Question 878962: The curve of the arch on a bridge can be modelled by the equation
h=-0.0425d^2+3.57d
where h represents the height and d represents the horizontal
distance both measured in meters.
a. What is the width of the arch at its base?
b. What is the maximum height of the arch?
Please show your work.
Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!
h=-0.0425d^2+3.57d
a)d(-.0425d + 3.57) = 0, d = 3.57/.0425 = 84m is the width at the base
b)max height is at d = 42m
h(42) =-0.0425%2842%29%5E2%2B3.57%2A42+ = 74.97m