Mathematics, 25.09.2019 10:30 thebiggestbigbilly
Find the coordinate that divides the directed line segment from a (-6,3) to b (8,10) in the ratio of 3 to 4
Answers: 1
![\bf ~~~~~~~~~~~~\textit{internal division of a line segment} \\\\\\ A(-6,3)\qquad B(8,10)\qquad \qquad \stackrel{\textit{ratio from A to B}}{3:4} \\\\\\ \cfrac{A\underline{C}}{\underline{C} B} = \cfrac{3}{4}\implies \cfrac{A}{B} = \cfrac{3}{4}\implies 4A=3B\implies 4(-6,3)=3(8,10)\\\\[-0.35em] ~\dotfill\\\\ C=\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/0261/1768/adaf3.png)
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Find the coordinate that divides the directed line segment from a (-6,3) to b (8,10) in the ratio of...
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