Let X,Y, and Z be points such that If XZ/XY = ZY/XY = 1/2. If Y = (1,-7) and Z = (-1,-7), then what is the sum of the coordinates of X?
Let X, Y, and Z be points such that If XZ/XY = ZY/XY = 1/2. If Y = (1,-7) and Z = (-1,-7), then what is the sum of the coordinates of X?
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
Y=(1, -7) Z=(-1, -7)
X = (-3, -7)
Sum of coordinates of X = -10
Assume that the points are in this order XZY
XZ = ZY
So
X = [ -1 - ( 1 - - 1) , -7 - ( -7 - - 7) ] = [ -1-2 , -7 - 0 ] = ( -3, -7)
Sum of coordinates = -10
