Question

Write y=t+6/t and x=6/(t)(1/2) in rectangular form?

Answer 1

`y = x^2 + 6/x^2`

Explanation:

I will assume this is intended to say
`y = t + 6/t and x = (6/t)^(1/2)`

We can solve for `t` in the second equation and then plug that into the first to find a solution:
`x^2 = 6/t implies t = 6x^(-2)`
Therefore,
`y = 6x^(-2) + 6/(6 x^(-2)) = 6/x^2 + x^2`

which is in rectangular form.