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Mathematics 20 Online
OpenStudy (anonymous):

A tunnel is in the shape of a parabola.The maximum height is 11m and it is 18m wide at the base.What is the vertical clearance 3m from the edge of the tunnel?

OpenStudy (amistre64):

so if we create a parabola: y = -x^2 +11 and bend it to -9,0 and 9,0; we can determine the height at x=6

OpenStudy (amistre64):

factos are: (x+9)(x-9)

OpenStudy (amistre64):

x^2 - 81 +C

OpenStudy (amistre64):

when x = 0, this should be 11 im just gonna use my quad program lol

OpenStudy (amistre64):

OpenStudy (amistre64):

6.1 m

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