Mathematics
austinsmith418
2015-11-06 06:48:57
Y is the midpoint of XZ .X has coordinates (2, 4), and Y has coordinates (-1, 1). Find the coordinates of z.
ANSWERS
AnnettaEnoch1
2015-11-06 08:25:44

[latex]f extit{middle point of 2 points }\ quad \ egin{array}{lllll} &x_1&y_1&x_2&y_2\ % (a,b) X&({{ 2}}quad ,&{{ 4}})quad % (c,d) Z&({{ x}}quad ,&{{ y}}) end{array}qquad % coordinates of midpoint left(cfrac{{{ x_2}} + {{ x_1}}}{2}quad ,quad cfrac{{{ y_2}} + {{ y_1}}}{2} ight) \\\ left( cfrac{x+2}{2}~,~cfrac{y+4}{2} ight)=stackrel{Y}{(-1,1)}implies egin{cases} cfrac{x+2}{2}=-1\\ x+2=-2\ oxed{x=-4}\ ------\ cfrac{y+4}{2}=1\\ y+4=2\ oxed{y=-2} end{cases}[/latex]

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