Given line segment AB with endpoints A(-9, 2) and B(12, 8) what are the coordinated of point c that is partitioned one third from A to B. PLEASE HELP.
Accepted Solution
A:
check the picture below.
so, from A to B cut at 1/3, simply means, splitting the AB segment into 1+3 equal pieces, and from those four, AB takes 1 piece, and CB takes the other 3 pieces.
[tex]\bf \left. \qquad \right.\textit{internal division of a line segment}
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A(-9,2)\qquad B(12,8)\qquad
\qquad 1:3
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\cfrac{AC}{CB} = \cfrac{1}{3}\implies \cfrac{A}{B} = \cfrac{1}{3}\implies 3A=1B\implies 3(-9,2)=1(12,8)\\\\
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{ C=\left(\cfrac{\textit{sum of "x" values}}{\textit{sum of ratios}}\quad ,\quad \cfrac{\textit{sum of "y" values}}{\textit{sum of ratios}}\right)}[/tex]