Mathematics, 08.07.2019 12:30 yolo123321
The midpoint of uv is (5,7). the coordinates of one endpoint are u(3,-5). find the coordinates of endpoint v
Answers: 1
![\bf ~~~~~~~~~~~~\textit{middle point of 2 points }\\\\U(\stackrel{x_1}{3}~,~\stackrel{y_1}{-5})\qquadV(\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+3}{2}~~,~~\cfrac{y-5}{2} \right)=\stackrel{midpiont}{(5,7)}\implies\begin{cases}\cfrac{x+3}{2}=5\\[0.8em]x+3=10\\\boxed{x=7}\\[-0.5em]\hrulefill\\\cfrac{y-5}{2}=7\\[0.8em]y-5=14\\\boxed{y=19}\end{cases}](/tpl/images/0065/5966/88967.png)
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The midpoint of uv is (5,7). the coordinates of one endpoint are u(3,-5). find the coordinates of en...
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