Landon is standing in a hole that is 6.5 m 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 equals negative 0.05x^2+4.5x-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? round your answer to the nearest hundredth of a meter.

we are given

where

x is the horizontal distance of the rock in meters, from Landon

y is the height, in meters, of the rock above the ground

we know that when rock lands vertical distance will become 0

so, we set y=0

and then we can solve for x

Multiply both sides by 100

now, we can use quadratic formula

now, we can find horizontal distance

so, horizontal distance is

..................Answer

answer: .64

step-by-step explanation

set up the formula for standard deviation for this set of numbers, then simplify

move it to the other side

step-by-step explanation: