Mathematics, 26.08.2019 04:10 19thomasar
The midpoint of cd is (8,-6). the coordinates of c are (0,-5). find the coordinates of d
Answers: 1
![\bf ~~~~~~~~~~~~\textit{middle point of 2 points } \\\\ C(\stackrel{x_1}{0}~,~\stackrel{y_1}{-5})\qquad D(\stackrel{x_2}{x}~,~\stackrel{y_2}{y}) \qquad \left(\cfrac{ x_2 + x_1}{2}~~~ ,~~~ \cfrac{ y_2 + y_1}{2} \right) \\\\\\ \left( \cfrac{x+0}{2}~~,~~\cfrac{y-5}{2} \right)~~=~~\stackrel{midpoint}{(8~,~-6)}\implies \begin{cases} \cfrac{x+0}{2}=8\\[1em] \boxed{x = 16}\\ \cline{1-1} \cfrac{y-5}{2}=-6\\[1em] y-5=-12\\ \boxed{y=-7} \end{cases}](/tpl/images/0198/2442/007c9.png)
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The midpoint of cd is (8,-6). the coordinates of c are (0,-5). find the coordinates of d...
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