Mathematics, 12.02.2021 14:00, ipolk92

Mariah converted the following equation into standard form. 25x2 + 25y2 – 200x + 100y + 4 = 0
25x2 – 200x + 25y2 + 100y = –4
25(x2 – 8x) + 25(y2 + 4y) = –4
25(x2 – 8x + 16) + 25(y2 + 4y + 4) = –4 + 16 + 4
25(x – 4)2 + 25(y + 2)2 = 16

She identified the conic as a circle with a center (4, –2) and a radius r = 4. What error, if any, did Mariah make?

Mariah did not make an error.
Mariah listed the center incorrectly. The center should be (–4, 2).
Mariah should have added 400 and 100 to the right side of the equation in step 4
Mariah factored incorrectly in step 5. She should have factored to (x – 8)2 and (y + 4)2.

Answers: 1

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