Mathematics, 29.06.2019 13:30 Tyrant4life
Find the point, m, that divides segment ab into a ratio of 4: 7 if a is at (-33, 0) and b is at (0, 44)
Answers: 1
![\bf ~~~~~~~~~~~~\textit{internal division of a line segment} \\\\\\ A(-33,0)\qquad B(0,44)\qquad \qquad \stackrel{\textit{ratio from A to B}}{4:7} \\\\\\ \cfrac{A\underline{M}}{\underline{M} B} = \cfrac{4}{7}\implies \cfrac{A}{B} = \cfrac{4}{7}\implies 7A=4B\implies 7(-33,0)=4(0,44)\\\\[-0.35em] ~\dotfill\\\\ M=\left(\frac{\textit{sum of "x" values}}{\textit{sum of ratios}}\quad ,\quad \frac{\textit{sum of "y" values}}{\textit{sum of ratios}}\right)\\\\[-0.35em] ~\dotfill](/tpl/images/0031/1793/03fbb.png)
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Find the point, m, that divides segment ab into a ratio of 4: 7 if a is at (-33, 0) and b is at (0,...
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