College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter2: Functions And Graphs
Section2.4: Writing And Graphing Equations Of Lines
Problem 80E
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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 \((-5, 3)\); \( r = \sqrt{19} \)](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F9fcb8aed-abbc-4652-9cb0-73b6d145c2d1%2F367ad283-a6c3-4ee6-8b2b-03d29869a807%2Fe4b0xmp_processed.jpeg&w=3840&q=75)
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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