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Homer wants to identify the center and radius of the circle defined by the equation x +y2 - 14x + 2y-25 = 0. He follows these steps: Step 1: (x-14x) + (y + 2y) 25 Step 2: (x-14x+ 49) +(y + 2y+1) 25 Step 3: (x- 7) +(y+ 1) 25 Step 4: The center is (7,-1), and the radius is 5. At which step did Homer make a mistake, and what was it?

Homer wants to identify the center and radius of the circle defined by the equation x +y2 - 14x + 2y-25 = 0. He follows these steps: Step 1: (x-14x) + (y + 2y) 25 Step 2: (x-14x+ 49) +(y + 2y+1) 25 Step 3: (x- 7) +(y+ 1) 25 Step 4: The center is (7,-1), and the radius is 5. At which step did Homer make a mistake, and what was it?

Elementary Geometry For College Students, 7e
Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
ChapterP: Preliminary Concepts
SectionP.CT: Test
Problem 1CT
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Homer wants to identify the center and radius of the circle defined by the equation x + y2-14x + 2y - 25 = 0. He follows these steps: Step 1: (x-14x) + (y² + 2y) = 25 Step 2: (x-14x + 49) +(y² + 2y+ 1) 25 Step 3: (x-7)2 ++1) 25 Step 4: The center is (7,-1), and the radius is 5. At which step did Homer make a mistake, and what was it? Step 1; he did not apply correctly the addition property of equality. DELL
Transcribed Image Text:Homer wants to identify the center and radius of the circle defined by the equation x + y2-14x + 2y - 25 = 0. He follows these steps: Step 1: (x-14x) + (y² + 2y) = 25 Step 2: (x-14x + 49) +(y² + 2y+ 1) 25 Step 3: (x-7)2 ++1) 25 Step 4: The center is (7,-1), and the radius is 5. At which step did Homer make a mistake, and what was it? Step 1; he did not apply correctly the addition property of equality. DELL
Step 1; he did not apply correctly the addition property of equality. Step 2; he failed to add the new constant terms to both sides of the equation. Step 3; he failed to square both sides of the equation. Step 4; he interpreted the equation incorrectly when finding the location of the center. DELL
Transcribed Image Text:Step 1; he did not apply correctly the addition property of equality. Step 2; he failed to add the new constant terms to both sides of the equation. Step 3; he failed to square both sides of the equation. Step 4; he interpreted the equation incorrectly when finding the location of the center. DELL
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