Find the center and radius of each circle. 1. x2+y2 25 2. (x- 1)2+ (y+ 1)2 = 49 3. (x+ 2)2 + y2 = 36 4. (x-3)2+ (v +6)2 = 81 5. x2 + y2 49 6. x2+ 8x + y2 + 16y =-71 7. x2 + y2-9=0 8. x2-2x + y2+ 2y = 34 9. x2+ y2 + 4x - 45 0 10. x2 + y2 + 8x + 16y 1 11. x2+y2-6x + 12y + 20 0 12. x2+ y2-2x + 2y- 23 0 13. x2+4x+y2-5 = 0 14. x2 + y2 = 81 15. x2-6x + y? + 12y + 9= 0 16. x2 + 4x + y2 - 21 = 0 17. x2+ 8x + 16y +y2 + 44 0 18.-2x + 2y + x2 + y2 79 0 19. y2+ 12y + x2-6x + 36 0 20. x2 + 8x + y? + 16y + 31 = 0 %3D

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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### Algebra: Circles - Diagram Puzzle

#### Instructions:
1. Work each exercise.
2. Find your answers in the puzzle and connect them.

#### Exercises:
Find the center and radius of each circle.

1. \( x^2 + y^2 = 25 \)
2. \( (x-1)^2 + (y+1)^2 = 49 \)
3. \( (x+2)^2 + y^2 = 36 \)
4. \( (x-3)^2 + (y+6)^2 = 81 \)
5. \( x^2 + y^2 = 49 \)
6. \( x^2 + 8x + y^2 + 16y = -71 \)
7. \( x^2 + y^2 = 9 \)
8. \( x^2 - 2x + y^2 + 2y = 34 \)
9. \( x^2 + y^2 + 4x = 45 \)
10. \( x^2 + y^2 + 8x + 16y = 1 \)
11. \( x^2 + y^2 - 6x + 12y + 20 = 0 \)
12. \( x^2 + y^2 - 2x + 2y - 23 = 0 \)
13. \( x^2 + 4x + y^2 - 5 = 0 \)
14. \( x^2 + y^2 = 81 \)
15. \( x^2 - 6x + y^2 + 12y + 9 = 0 \)
16. \( x^2 + 4x + y^2 - 21 = 0 \)
17. \( x^2 + 8x + 16y + y^2 + 44 = 0 \)
18. \( -2x + 2y + x^2 + y^2 - 79 = 0 \)
19. \( y^2 + 12y + x^2 - 6x + 36 = 0 \)
20. \( x^2 + 8x + y^2 + 16y + 31 = 0 \)

#### Diagram:
The diagram at the bottom of the page contains a number line and several points marked with coordinates. These
Transcribed Image Text:--- ### Algebra: Circles - Diagram Puzzle #### Instructions: 1. Work each exercise. 2. Find your answers in the puzzle and connect them. #### Exercises: Find the center and radius of each circle. 1. \( x^2 + y^2 = 25 \) 2. \( (x-1)^2 + (y+1)^2 = 49 \) 3. \( (x+2)^2 + y^2 = 36 \) 4. \( (x-3)^2 + (y+6)^2 = 81 \) 5. \( x^2 + y^2 = 49 \) 6. \( x^2 + 8x + y^2 + 16y = -71 \) 7. \( x^2 + y^2 = 9 \) 8. \( x^2 - 2x + y^2 + 2y = 34 \) 9. \( x^2 + y^2 + 4x = 45 \) 10. \( x^2 + y^2 + 8x + 16y = 1 \) 11. \( x^2 + y^2 - 6x + 12y + 20 = 0 \) 12. \( x^2 + y^2 - 2x + 2y - 23 = 0 \) 13. \( x^2 + 4x + y^2 - 5 = 0 \) 14. \( x^2 + y^2 = 81 \) 15. \( x^2 - 6x + y^2 + 12y + 9 = 0 \) 16. \( x^2 + 4x + y^2 - 21 = 0 \) 17. \( x^2 + 8x + 16y + y^2 + 44 = 0 \) 18. \( -2x + 2y + x^2 + y^2 - 79 = 0 \) 19. \( y^2 + 12y + x^2 - 6x + 36 = 0 \) 20. \( x^2 + 8x + y^2 + 16y + 31 = 0 \) #### Diagram: The diagram at the bottom of the page contains a number line and several points marked with coordinates. These
This image features a coordinate plane with several points plotted on it. The points are labeled with their coordinates, and some points are also labeled with numerical values. 

Here is the transcription of the coordinates and their corresponding labels:

- Point (2,0) is plotted without any additional label.
- Point (-2,0) is plotted without any additional label.
- Point (3, -6) is plotted without any additional label.
- Point (0, 0) is plotted with a line segment extending horizontally and labeled with the number 5.
- Point (-3,6) is plotted without any additional label.
- Point (3,-6) is plotted and labeled with the number 16.
- Point (4,8) is plotted and labeled with the number 6.
- Point (0,-2) is plotted and labeled with the number 7.
- Point (-1,-1) is plotted without any additional label.
- Point (1,-1) is plotted without any additional label.
- Point (-4,-8) is plotted without any additional label.
- Point (0,0) is plotted and labeled with the number 25.
- Point (0,0) is plotted and labeled with the number 5.
- Point (3, 6) is plotted without any additional label.
- Point (9, 0) is plotted without any additional label.
- Point (3, -6) is plotted and labeled with the number 16.
- Point (7, 0) is plotted without any additional label.
- Point (-2,0) is plotted without any additional label.
- Point (3, -6) is plotted and labeled with the number 16.
- Point (1,-1) is plotted without any additional label.
- Point (-1,-1) is plotted without any additional label.
- Point (-4,-8) is plotted without any additional label.
- Point (3,-6) is plotted and labeled with the number 16.
- Point (49, 0) is plotted and labeled with the number 49.
- Point (-2,0) is plotted without any additional label.
- Point (25, 0) is plotted and labeled with the number 25.
- Point (1,-1) is plotted without any additional label.
- Point (3, -6) is plotted and labeled with the number 16.

In summary, the image presents a coordinate plane with multiple points
Transcribed Image Text:This image features a coordinate plane with several points plotted on it. The points are labeled with their coordinates, and some points are also labeled with numerical values. Here is the transcription of the coordinates and their corresponding labels: - Point (2,0) is plotted without any additional label. - Point (-2,0) is plotted without any additional label. - Point (3, -6) is plotted without any additional label. - Point (0, 0) is plotted with a line segment extending horizontally and labeled with the number 5. - Point (-3,6) is plotted without any additional label. - Point (3,-6) is plotted and labeled with the number 16. - Point (4,8) is plotted and labeled with the number 6. - Point (0,-2) is plotted and labeled with the number 7. - Point (-1,-1) is plotted without any additional label. - Point (1,-1) is plotted without any additional label. - Point (-4,-8) is plotted without any additional label. - Point (0,0) is plotted and labeled with the number 25. - Point (0,0) is plotted and labeled with the number 5. - Point (3, 6) is plotted without any additional label. - Point (9, 0) is plotted without any additional label. - Point (3, -6) is plotted and labeled with the number 16. - Point (7, 0) is plotted without any additional label. - Point (-2,0) is plotted without any additional label. - Point (3, -6) is plotted and labeled with the number 16. - Point (1,-1) is plotted without any additional label. - Point (-1,-1) is plotted without any additional label. - Point (-4,-8) is plotted without any additional label. - Point (3,-6) is plotted and labeled with the number 16. - Point (49, 0) is plotted and labeled with the number 49. - Point (-2,0) is plotted without any additional label. - Point (25, 0) is plotted and labeled with the number 25. - Point (1,-1) is plotted without any additional label. - Point (3, -6) is plotted and labeled with the number 16. In summary, the image presents a coordinate plane with multiple points
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