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103-2-5 11. Pond the coordinates of the point. Pohance that lonel make (b) : (a) equidistant from (4.-6) and the origin; as well as on (b) equidistant from (3, 8) and (-2,5) on the v-axis (c) /*+ 3y = 7



Answer :

Since the point is equidistant from (3,8) and (-2,5) on the y-axis, we are talking about the middle point, so:

[tex]\begin{gathered} Let \\ (x1,y1)=(3,8) \\ (x2,y2)=(-2,5) \\ mp=(xm,ym) \\ xm=\frac{x1+x2}{2}=\frac{3-2}{2}=\frac{1}{2}=0.5 \\ ym=\frac{y1+y2}{2}=\frac{8+5}{2}=\frac{13}{2}=6.5 \end{gathered}[/tex]

Therefore the coordinates are:

(0.5,6.5)

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