Answer:
Center (-3, 2) radius = 6
Step-by-step explanation:
x^2 + y^2 + 6x - 4y = 23
x^2 + 6x + y^2 - 4y = 23
x^2 + 6x + ( 9 ) + y^2 - 4y = 23 + ( 9 )
(x + 3)^2 + y^2 - 4y = 23 + ( 9 )
(x + 3)^2 + y^2 - 4y + (4 ) = 23 + ( 9 ) + (4)
(x + 3)^2 + (y -2)^2 = 23 + ( 9 ) + (4)
(x + 3)^2 + (y -2)^2 = 36
(x + 3)^2 + (y -2)^2 = 6^2
Center is at (-3, 2)
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Radius = 6
From using formula (x - h)^2 + (y - k)^2 = r^2
where (h, k) = center and r = radius