Final answer:
The center of the circle (x-7)^(2)+y^(2)=100 should be plotted at the point (7, 0) on the coordinate plane.
Step-by-step explanation:
To plot the center of the circle (x-7)2+y2=100 on a coordinate plane, we can rewrite the equation in standard form as (x-7)2/100 + y2/100 = 1. Comparing this equation with the standard equation of an ellipse, (x-h)2/a2 + (y-k)2/b2 = 1, we can see that the center of the circle is at the point (h, k) = (7, 0). Thus, the center of the circle should be plotted at the point (7, 0) on the coordinate plane.