Answer:
The circumcenter is located at point A(4.5,-3)
Step-by-step explanation:
Plot points T(9,0), V(0,-6), and 0 (0,0) on the coordinate plane. You get the right triangle TVO with hypotenuse TV.
The circumcenter of the right triangle is the midpoint of the hypotenuse.
Find the midpoint of the hypotenuse:
[tex]x_A=\dfrac{9+0}{2}=4.5\\ \\y_A=\dfrac{0+(-6)}{2}=-3[/tex]
Hence, the circumcenter is located at point A(4.5,-3)
