Question

A fountain on a lake sprays water in a parabolic arch modeled by the equation

Answer 1

Hello,

Answer B (2.0017868263...feet)

We must foind the intersection of the line and the parabola:

$- \dfrac{4}{10} x^2+3x= \dfrac{22}{49}x+ \dfrac{818}{490}\\ ...\\ 196x^2-1250x+818=0\\ x= \dfrac{1250- \sqrt{921188} }{392}\approx0.7403433860\\ y=-0.4*0.74034...^2+3*0.74034...\approx2.0017868263...$