Question

Algebra Calculator What do you want to calculate? (x-5)^(2)+(y-8)^(2)=49 Solve for Variable

Answer 1

To solve the equation (x-5)^2 + (y-8)^2 = 49, we expand and combine like terms to get x^2 + y^2 - 10x - 16y + 40 = 0. This equation represents a circle with a center at (5,8) and a radius of 7 units.

Step-by-step explanation:

This is a quadratic equation where we need to solve for the variable. The equation is (x-5)^2 + (y-8)^2 = 49. To solve for the variable, we can start by expanding the equation:

x^2 - 10x + 25 + y^2 - 16y + 64 = 49

Combining like terms:

x^2 + y^2 - 10x - 16y + 40 = 0

Since this equation contains two variables, we cannot solve it for a specific value of x or y. Instead, it represents a circle with a center at (5,8) and a radius of 7 units.