Mathematics, 09.07.2019 19:00 artistictype4671
The coordinates of point t are (0,3).the midpoint of st is (5,-8).find the coordinates of point s.
Answers: 1
![\bf ~~~~~~~~~~~~\textit{middle point of 2 points } \\\\ S(\stackrel{x_1}{x}~,~\stackrel{y_1}{y})\qquad T(\stackrel{x_2}{0}~,~\stackrel{y_2}{3}) \qquad \left(\cfrac{ x_2 + x_1}{2}~~~ ,~~~ \cfrac{ y_2 + y_1}{2} \right) \\\\\\ \left( \cfrac{0+x}{2}~~,~~\cfrac{3+y}{2} \right)=\stackrel{midpoint}{(5,-8)}\implies \begin{cases} \cfrac{0+x}{2}=5\\[0.8em] \boxed{x=10}\\[-0.5em] \hrulefill\\ \cfrac{3+y}{2}=-8\\[0.8em] 3+y=-16\\ \boxed{y=-19} \end{cases}](/tpl/images/0070/4221/fd57f.png)
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The coordinates of point t are (0,3).the midpoint of st is (5,-8).find the coordinates of point s....
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