Nickalos Nickalos
  • 22-08-2018
  • Mathematics
contestada

M is the midpoint of GR. G has coordinates(-8,3) and M is at the origin. Find the coordinates of R

Respuesta :

jdoe0001 jdoe0001
  • 22-08-2018

[tex] \bf ~~~~~~~~~~~~\textit{middle point of 2 points }
\\\\
G(\stackrel{x_1}{-8}~,~\stackrel{y_1}{3})\qquad
R(\stackrel{x_1}{x}~,~\stackrel{y_1}{y})
\qquad
\left(\cfrac{ x_2 + x_1}{2}~~~ ,~~~ \cfrac{ y_2 + y_1}{2} \right)
\\\\\\
\left( \cfrac{x-8}{2}~~,~~\cfrac{y+3}{2} \right)=\stackrel{\stackrel{origin}{\stackrel{Midpoint}{M}}}{(0,0)}\implies
\begin{cases}
\cfrac{x-8}{2}=0\\\\
x-8=0\\
\boxed{x=8}\\[-0.5em]
\hrulefill\\
\cfrac{y+3}{2}=0\\\\
y+3=0\\
\boxed{y=-3}
\end{cases} [/tex]

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