Question

3. 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?

These are the equations I am working with:•x (t)=0.0411905(t^2)+(-0.164619)t+28.0114

and

• y (t)=-0.024127(t^2)+(-0.591143)t+(-87.4403)

Answer 1

Answer: Yes

Explanation:

Though x and y can be achieved in a system of equations. The equation

x (t)=0.0411905(t^2)+(-0.164619)t+28.0114

And

y (t)=-0.024127(t^2)+(-0.591143)t+(-87.4403)

Are not system of equations but rather two different models of equations. Nevertheless

To find t in the first equation, x(t) has to be equal to zero.

When the t is substituted in the second equation, t will completely disappear. Given the value of y(t) and vice versa.