The coordinate of the point O if O is on the segment DG, and DO is twice as long as OG is (5, 3)
The formula for calculating the midpoint divide on the ratio a: b is expressed as:
[tex]M(x, y)=\frac{ax_1+bx_2}{a+b}, \frac{ay_1+by_2}{a+b}[/tex]
Given the coordinate points, D (1,5) and point G (13,-1) and DO = 2OG
[tex]\frac{DO}{OG}=\frac{2}{1}\\DO:OG=2:1[/tex]
Get the coordinate of O;
[tex]M(x, y)=\frac{2(1)+1(13)}{2+1}, \frac{2(5)+1(-1)}{2+1}\\M(x, y)=(\frac{15}{3}, \frac{9}{3})\\M(x, y)=(5,3)[/tex]
Hence the coordinate of the point O if O is on the segment DG, and DO is twice as long as OG is (5, 3)
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