Mathematics, 27.06.2019 20:00 destinee8863
Find the coordinates of point p along the directed line segment ab so that ap to pb is the given ratio. a(−8, 0) , b(−3, 5) ; 2 to 3
Answers: 2
![\bf ~~~~~~~~~~~~\textit{internal division of a line segment} \\\\\\ A(-8,0)\qquad B(-3,5)\qquad \qquad \stackrel{\textit{ratio from 2 to 3}}{2:3} \\\\\\ \cfrac{A\underline{P}}{\underline{P} B} = \cfrac{2}{3}\implies \cfrac{A}{B} = \cfrac{2}{3}\implies 3A=2B\implies 3(-8,0)=2(-3,5)\\\\[-0.35em] ~\dotfill\\\\ P=\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/0024/5508/24e0c.png)
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Find the coordinates of point p along the directed line segment ab so that ap to pb is the given rat...
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