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DIA [1.3K]
3 years ago
6

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

Mathematics
1 answer:
NikAS [45]3 years ago
5 0
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...


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