Find the Centroid of the Region Bounded by the Graphs $$y = 10 - x ^ { 2 } , \quad y = 2 - 2 x$$

Multiple Choice

Find the centroid of the region bounded by the graphs of the given equations.
$$y = 10 - x ^ { 2 } , \quad y = 2 - 2 x$$

A) $( 0,1 )$
B) $\left( \frac { 18 } { 5 } , 1 \right)$
C) $\left( 1 , \frac { 18 } { 5 } \right)$
D) $( 1,0 )$