Find the Center of Mass of the Given System of Point

question 105

Multiple Choice

Find the center of mass of the given system of point masses. $\begin{array}{|c|c|c|c|}\hline m_{i} & 9 & 4 & 7 \\\hline\left(x_{i}, y_{i}\right) & (-1,0) & (7,-3) & (1,-9) \\\hline\end{array}$

• A) \(\bar { x } = \frac { 5 } { 4 } , \bar { y } = - \frac { 19 } { 5 }\)
• B) \(\bar { x } = \frac { 13 } { 10 } , \bar { y } = - \frac { 15 } { 4 }\)
• C) \(\bar { x } = \frac { 29 } { 23 } , \bar { y } = - \frac { 72 } { 23 }\)
• D) \(\bar { x } = \frac { 29 } { 20 } , \bar { y } = - \frac { 18 } { 5 }\)
• E) \(\bar { x } = \frac { 7 } { 5 } , \bar { y } = - \frac { 73 } { 20 }\)

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Definitions:

Extraordinary Item

Unusual and infrequent gains or losses that are reported separately in the financial statements to give a clearer picture of a company's ongoing performance.

Income Reporting

The process of communicating the income generated by a business over a specific period, typically through financial statements like income statements.

Earnings Per Share

A key financial indicator calculated by dividing the net income by the number of outstanding shares of a company's stock.

Net Income

The total profit of a company after all expenses and taxes have been deducted from total revenues.