Mathematics, 12.07.2019 20:30 galaxyomg661p0edpt
Find the coordinates of the other endpoint of the segment, given its midpoint and one endpoint. (hint: let (x, y) be the unknown endpoint. apply the midpoint formula, and solve the two equations for x and y.) midpoint (-14,- 17), endpoint (-5,-4)
Answers: 1
![\bf ~~~~~~~~~~~~\textit{middle point of 2 points } \\\\ (\stackrel{x_1}{x}~,~\stackrel{y_1}{y})\qquad (\stackrel{x_2}{-5}~,~\stackrel{y_2}{-4}) \qquad \left(\cfrac{ x_2 + x_1}{2}~~~ ,~~~ \cfrac{ y_2 + y_1}{2} \right) \\\\\\ \left(\cfrac{-5+x}{2}~~,~~\cfrac{-4+y}{2} \right)~=~\stackrel{\textit{midpoint}}{(-14,-17)}\implies \begin{cases} \cfrac{-5+x}{2}=-14\\\\ -5+x=-28\\ \boxed{x=-23}\\[-0.5em] \hrulefill\\ \cfrac{-4+y}{2}=-17\\\\ -4+y=-34\\ \boxed{y=-30} \end{cases}](/tpl/images/0082/2154/06f13.png)
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Find the coordinates of the other endpoint of the segment, given its midpoint and one endpoint. (hin...
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