A 12-foot long dog lead is attached to a tree and attached to the collar of a dog so that the dog may freely rotate around the tree.

If the tree is centered at (−3, 8) on a coordinate grid representation, what is the general form equation of the circle that the dog may freely move about?

x² + y² + 6x - 16y - 71 = 0

Step-by-step explanation:

(x - (-3))² + (y - 8)² = 12²

(x + 3)² + (y - 8)² = 144

x² + y² + 6x - 16y + 9 + 64 - 144 = 0

x² + y² + 6x - 16y - 71 = 0

option (b) is correct

step-by-step explanation:

to find the solution of this system, we need to convert it into reduced row-echelon form. we have,

after applying row operations r2 -> r2/2 and r3 -> r3/3, we get,