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A tunnel with a parabolic arch is 12m wide. If the height of the arch 4m from the left edge is 6m, can a truck that is 5m tall and 3.5 m wide pass through the tunnel?

Respuesta :

syed514
yes, here is the explanation:
y = -3/16 x(x-12)
5 = -3/16x(x-12)
16*5 = -3/16*16x(x-12)
80 = -3x^2 + 36x
3x^2 -36x + 80 = 0

a = 3, b = -36, c = 80
x = -(-36) +/- √(-36)^2 - 4(3)(80) / 2(3)

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