The circle is given by the equation (x + 5) ^ 2 + (y-4) ^ 2 = 49. Pick the center of the circle.

Decision:
The standard equation of the circle is (x – a) ^ 2 + (y – b) ^ 2 = R ^ 2, where a and b are the coordinates of the center A of the circle, with radius R.
From the given equation (x + 5) ^ 2 + (y – 4) ^ 2 = 49 we write down the coefficients a and b:
a = – 5; b = 4;
Thus, let the circle have a center at point A, then its coordinates are A (-5; 4);
Answer: A (-5; 4).