Mathematics, 12.10.2019 23:20 momo842
Adirected line segment ab on he coordinate plane starts from a (3, 0) and ends at b (12, -9). find the y coordinate of point c on the line segment a that partitions the segment into a 6: 5 ratio. the answer should be a single number . round your answer to the nearest 10th if needed.
Answers: 1
![\bf \textit{internal division of a line segment using ratios} \\\\\\ A(3,0)\qquad B(12,-9)\qquad \qquad \stackrel{\textit{ratio from A to B}}{6:5} \\\\\\ \cfrac{A\underline{C}}{\underline{C} B} = \cfrac{6}{5}\implies \cfrac{A}{B} = \cfrac{6}{5}\implies 5A=6B\implies 5(3,0)=6(12,-9)\\\\[-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/0314/3004/8a521.png)
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Adirected line segment ab on he coordinate plane starts from a (3, 0) and ends at b (12, -9). find t...
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