so it lands at y=0
0=-.005x^2+.45x-6.5
multiply all by 200
x^2-90x+1300=0
using the quadratic equation..
x= (90+-sqrt(8100-5200)/2=45+-1/2 sqrt(2800)=45+-sqrt(2700)=45+-51.96
we reject the negative solution
x=96.96 feet
check my math,I did it in my head.
Landon is standing in a hole that is 6.5 ft deep. He throws a rock and it goes up into the air, out of the hole, and then lands on the ground above. The path of the rock can be modeled by the equation y = -0.005x^2 + 0.45x - 6.5, where x is the horizontal distance of the rock, in meters, from Landon and y is the height, in meters, of the rock above the ground. How far horizontally from Landon will the rock land?
Please solve and explain. Thanks.
3 answers
Why multiply it by 200?
My answer choices are:
18.07 ft
35.96 ft
9.04 ft
71.93 ft
My answer choices are:
18.07 ft
35.96 ft
9.04 ft
71.93 ft
The answer for this question is D) 71.93