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Answer:
3500 ft
Step-by-step explanation:
We assume you intend the equations to be ...
Then we can solve the second equation for t and use that in the first equation. We can solve the first equation for y=6000.
x = 113t
t = x/113
y(t) = y(x/113) = -16(x/113)² +425(x/113) +8200 = 6000
(16/12769)x² -(425/113)x -2200 = 0 . . . . . . subtract 6000, multiply by -1
Using the quadratic formula, the positive solution is ...
x = ((425/113) +√((-425/113)² -4(16/12769)(-2200))/(2(16/12769))
The fraction in the denominator can be inverted and used as a multiplier. We also use a√b = √(a²b) to simplify the radical.
x = (48025 +√4104275825)/32
x ≈ 3502.8
Rock was thrown about 3500 feet horizontally.
