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In its elliptical orbit around the sun, Mercury has an aphelion of 44 million miles, and a perihelion of 29 million miles.
-Eliminate the parameter and write the corresponding rectangular form. x = t + 10
Y = t² + 5

Question

Quizplus · Accepted Answer

To eliminate the parameter t, we can solve for it in terms of x: t = x - 10. Substituting into the equation for y gives:

y = (x - 10)^2 + 5

Expanding and simplifying gives:

y = x^2 - 20x + 105

This is equivalent to choice C.

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