Question

Is it possible to solve x(t) for t, substitute it into y(t) to eliminate the parameter, t, and write it as a rectangular equation with x and y instead? Why or why not?

X(t)=0.85t^2+-0.82-91
Y(t)=2.9t+22.8

Answer 1

[AI-generated answer — Bot GPT 3.5]

Yes, it is possible to solve for t in terms of x(t), substitute it into y(t) to eliminate the parameter t, and write it as a rectangular equation with x and y instead. By solving for t in terms of x(t) in the equation x(t) = 0.85t^2 - 0.82-91, we get:

t = sqrt((x + 0.82 + 91) / 0.85)

Substitute this t into y(t) = 2.9t + 22.8, we get:
y(x) = 2.9*sqrt((x + 0.82 + 91) / 0.85) + 22.8

Thus, we have eliminated the parameter t and written the equation in terms of x and y as required.