Eliminate the parameter in the equations x is equal to 5 cosine t minus 7 and y is equal to 5 sine t plus 9 How can the rectangular equation be described?

From x = 5 cos t − 7 and y = 5 sin t + 9, we get cos t = (x + 7)/5 and sin t = (y − 9)/5. Using cos² t + sin² t = 1 gives (x + 7)² + (y − 9)² = 25, which describes a circle centered at (−7, 9) with radius 5. The correct choice is circle.

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