Question

Now solve this equation for y. Remember the roller coaster is above ground, so you are only interested in the positive root.

Answer 1

`y = \sqrt{ 900 - x\²`

Explanation:

In the complete question, the area of the roller coaster is:

`x\² + y^2 = 900`

Required

Solve for y

We have:

`x\² + y^2 = 900`

Subtract
`x\²` from both sides

`y^2 = 900 - x\²`

Take positive roots of both sides

`y = \sqrt{ 900 - x\²`