Respuesta :

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

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