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Mathematics, 12.12.2020 16:50 ghughes665
Jamaal converted the following conic equation from general form to standard form.
amaal converted the following conic equation from general form to standard form.
4x2 + 4y2 β 16x + 24y β 12 = 0
4x2 β 16x + 4y2 + 24y = 12
4(x2 β 4x) + 4(y2 + 6y) = 12
4(x2 β 4x + 4) + 4(y2 + 6y + 9) = 12 + 4 + 9
4(x β 2)2 + 4(y + 3)2 = 25
Jamaal identifies the center of the circle as
(2, β3) and the radius as r = Five-halves.
What error, if any, did Jamaal make ?
Jamaal misidentified the center. The center should be at the point (β2, 3).
Jamaal did not complete the square correctly; he should have added 16 and 36 inside the parentheses in step 4. The radius is r = StartRoot 55 EndRoot.
Jamaal added 4 and 9 to the right hand side in step 4; he should have added 16 and 36. The radius is r = 8.
Jamaal did not make an error.
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Jamaal converted the following conic equation from general form to standard form.
amaal converted t...
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