Respuesta :

Answer:

The answer to your question is Center = (-8, 6)   radius = 7

Step-by-step explanation:

Data

       (x + 8)² + (y - 6)² = 49

Center = ?

radius = ?

Process

1.- Write the standard form of a circle

      (x - h)² + (y - k)² = r²

2.- Compare the equation given with the standard form

The center of a circle = (h, k)

      h = -8    k = 6    r² = 49

                                r = √49

                                r = 7      

3.- Conclusion

Center = (-8, 6)   radius = 7