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

1. The sum of 122 and 98 is (122+98)

Two-thirds of the sum of 122 and 98 is

2.  99 divided by 10 is The sum of 84 and 3 is (84+3).

99 divided by 10, then multiplied by the sum of 84 and 3 is

3. (10+5)=15,

1=+53=63.

Since 15<63, then (10+5)<10+53.

4. (16-4)+9=12+9=21,

(16-4)=12.

Since 21>12, then (16-4)+9>(16-4).