Homer wants to identify the center and radius of the circle defined by the equation x² + y² – 14x+2y – 25 = 0. He follows these steps:Step 1: (x² – 14x) + (y² + 2y) = 25Step 2: (x² – 14x + 49) + (y² + 2y + 1) = 25Step 3: (x – 7)² + (y + 1)² = 25Step 4: The center is (7,–1), and the radius is 5.At which step did Homer make a mistake, and what was it?AStep 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.MAYétv3.48ERYADFGJCVMtioncommand

Please refer to the image below.

Homer wants to identify the center and radius of the circle defined by the equation x² + y² – 14x + 2y – 25 = 0. He follows these steps: Step 1: (x² – 14x) + (y² + 2y) = 25 Step 2: (x² – 14x + 49) + (y² + 2y + 1) = 25 Step 3: (x – 7)² + (y +1)² = 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. 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. MAY 8.

Homer wants to identify the center and radius of the circle defined by the equation x² + y² – 14x + 2y – 25 = 0. He follows these steps: Step 1: (x² – 14x) + (y² + 2y) = 25 Step 2: (x² – 14x + 49) + (y² + 2y + 1) = 25 Step 3: (x – 7)² + (y +1)² = 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. 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. MAY 8.

College Algebra

10th Edition

ISBN:9781337282291

Author:Ron Larson

Publisher:Ron Larson

Chapter1: Equations, Inequalities, And Mathematical Modeling

Section: Chapter Questions

Problem 23T

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Question

Homer wants to identify the center and radius of the circle defined by the equation x² + y² – 14x+
2y – 25 = 0. He follows these steps:
Step 1: (x² – 14x) + (y² + 2y) = 25
Step 2: (x² – 14x + 49) + (y² + 2y + 1) = 25
Step 3: (x – 7)² + (y + 1)² = 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?
A
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.
MAY
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