Mathematics, 08.10.2019 03:10 19colemankl
Find the point, m, that divides segment ab into a ratio of 5: 2 if a is at (1, 2) and b is at (8,16).
Answers: 1
![\bf \textit{internal division of a line segment using ratios} \\\\\\ A(1,2)\qquad B(8,16)\qquad \qquad \stackrel{\textit{ratio from A to B}}{5:2} \\\\\\ \cfrac{A\underline{C}}{\underline{C} B} = \cfrac{5}{2}\implies \cfrac{A}{B} = \cfrac{5}{2}\implies 2A=5B\implies 2(1,2)=5(8,16)\\\\[-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/0299/0528/49b2e.png)
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Find the point, m, that divides segment ab into a ratio of 5: 2 if a is at (1, 2) and b is at (8,16)...
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