1. **State the problem:** Find the center of the circle given by the equation $$x^2 + y^2 - 8x + 11y - 2 = 0$$. 2. **Formula and rules:** The general form of a circle's equation is $$x^2 + y^2 + Dx + Ey + F = 0$$. The center is at $$\left(-\frac{D}{2}, -\frac{E}{2}\right)$$. 3. **Identify coefficients:** Here, $$D = -8$$ and $$E = 11$$. 4. **Calculate center coordinates:** $$x_{center} = -\frac{D}{2} = -\frac{-8}{2} = 4$$ $$y_{center} = -\frac{E}{2} = -\frac{11}{2} = -5.5$$ 5. **Final answer:** The center of the circle is at $$(4, -5.5)$$. **Answer choice:** D. (4, -5.5)