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Complete the square to rewrite circle equations
Worksheet
Grade Level
Geometry
GEO.151 Complete the square to rewrite circle equations
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🔴 Hard
00:00
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The equation x
2
+ 3x + y
2
- 17y = 51/2 has fractional square-completion values. Which standard form and radius are correct?
A
Completed form: (x - 3/2)
2
+ (y + 17/2)
2
= 100; center (3/2, -17/2); radius 10
B
Completed form: (x + 3/2)
2
+ (y - 17/2)
2
= 100; center (-3/2, 17/2); radius 10
C
Completed form: (x + 3/2)
2
+ (y - 17/2)
2
= 349/2; center (-3/2, 17/2); radius sqrt(349/2)
D
Completed form: (x + 3)
2
+ (y - 17)
2
= 100; center (-3, 17); radius 10
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