Which of the following is the center and radius of the circle? x² + y² + 10x - 6y + 15 = 0

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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**Question:**
Which of the following is the center and radius of the circle?

**Equation:**
\[ x^2 + y^2 + 10x - 6y + 15 = 0 \]

**Options:**
- ⭕ Center \((-10, 6)\); \( r = 15 \)
- ⭕ Center \((-5, 3)\); \( r = \sqrt{19} \)
- ⭕ Center \((5, -3)\); \( r = 19 \)
- ⭕ Center \((10, -6)\); \( r = \sqrt{15} \)

**Answer:**
- The correct option is selected: Center \((-5, 3)\); \( r = \sqrt{19} \)
Transcribed Image Text:**Question:** Which of the following is the center and radius of the circle? **Equation:** \[ x^2 + y^2 + 10x - 6y + 15 = 0 \] **Options:** - ⭕ Center \((-10, 6)\); \( r = 15 \) - ⭕ Center \((-5, 3)\); \( r = \sqrt{19} \) - ⭕ Center \((5, -3)\); \( r = 19 \) - ⭕ Center \((10, -6)\); \( r = \sqrt{15} \) **Answer:** - The correct option is selected: Center \((-5, 3)\); \( r = \sqrt{19} \)
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