Mathematics, 18.07.2019 03:10 mota78
Point k is the midpoint of qz. point k is located at (-1,-11), and point z is located at (7,-3). where is point q located?
Answers: 1
![\bf ~~~~~~~~~~~~\textit{middle point of 2 points } \\\\ Q(\stackrel{x_1}{x}~,~\stackrel{y_1}{y})\qquad Z(\stackrel{x_2}{7}~,~\stackrel{y_2}{-3}) \qquad \left(\cfrac{ x_2 + x_1}{2}~~~ ,~~~ \cfrac{ y_2 + y_1}{2} \right) \\\\\\ \left(\cfrac{7+x}{2}~~,~~\cfrac{-3+y}{2} \right)~~=~~\stackrel{\stackrel{midpoint}{K}}{(-1,-11)}\implies \begin{cases} \cfrac{7+x}{2}=-1\\[1em] 7+x=-2\\ \boxed{x=-9}\\ \cline{1-1} \cfrac{-3+y}{2}=-11\\[1em] -3+y=-22\\ \boxed{y=-19} \end{cases}](/tpl/images/0102/5127/4aefc.png)
, so we replace each vale, where 
and 
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Point k is the midpoint of qz. point k is located at (-1,-11), and point z is located at (7,-3). whe...
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