Mathematics, 11.07.2019 17:30, htorres2p8urw0
Points a (-10, -6) and b (6, 2) are the endpoints of ab. what are the coordinates of point c on ab such that ac is 3/4ths the length of ab?
Answers: 1
![\bf ~~~~~~~~~~~~\textit{internal division of a line segment} \\\\\\ A(-10,-6)\qquad B(6,2)\qquad \qquad \stackrel{\textit{ratio from A to B}}{3:1} \\\\\\ \cfrac{A\underline{C}}{\underline{C} B} = \cfrac{3}{1}\implies \cfrac{A}{B} = \cfrac{3}{1}\implies 1A=3B\implies 1(-10,-6)=3(6,2)\\\\[-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/0077/8646/5bea1.png)
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Points a (-10, -6) and b (6, 2) are the endpoints of ab. what are the coordinates of point c on ab s...
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