Find the Center of Mass of the Given System $\begin{array}{|c|c|c|c|c|}\hline m_{i} & 10 & 1 & 9 & 3 \\\hline\left(x_{i}, y_{i}\right) & (-8,8) & (1,8) & (2,-10) & (6,6) \\\hline\end{array}$

Multiple Choice

Find the center of mass of the given system of point masses. $\begin{array}{|c|c|c|c|c|}\hline m_{i} & 10 & 1 & 9 & 3 \\\hline\left(x_{i}, y_{i}\right) & (-8,8) & (1,8) & (2,-10) & (6,6) \\\hline\end{array}$

A) $\bar { x } = - \frac { 44 } { 23 } , \bar { y } = \frac { 15 } { 23 }$
B) $\bar { x } = - \frac { 20 } { 13 } , \bar { y } = \frac { 19 } { 26 }$
C) $\bar { x } = - \frac { 41 } { 23 } , \bar { y } = \frac { 18 } { 23 }$
D) $\bar { x } = - \frac { 40 } { 23 } , \bar { y } = \frac { 19 } { 23 }$
E) $\bar { x } = - \frac { 43 } { 23 } , \bar { y } = \frac { 16 } { 23 }$