8
The ordered triple is (x, y, z) = (1, -1, -2)
x+2y-6=z -z -z x+2y-z-6=0 +6 +6 ---------> x+2y-z=6 3y-2z=7 ---------> 0x+3y-2z=7 4+3x=2y-5z -3x -3x ---------> -3x+2y-5z=4 Put them into a matrix, for x,y,z and their answers. Solve for [A]-1[B], and the answer comes to: x= 1.75, y= 1.5, and z= -1.25
2.333333......... or, 2 and 1/3
3x+7=37 -7 -7 3x=30 /3 /3 x=10
60j + 2z = 6
8
y and ½z
The ordered triple is (x, y, z) = (1, -1, -2)
x+2y-6=z -z -z x+2y-z-6=0 +6 +6 ---------> x+2y-z=6 3y-2z=7 ---------> 0x+3y-2z=7 4+3x=2y-5z -3x -3x ---------> -3x+2y-5z=4 Put them into a matrix, for x,y,z and their answers. Solve for [A]-1[B], and the answer comes to: x= 1.75, y= 1.5, and z= -1.25
I used the matrix method to find the answer: x=4, y=-7, z=-5.
y=5x+2 if y equals -4
x=3 y=2 z=6
Mid-point: (3z+z)/2, (2z+8z)/2 = (2z, 5z) Slope: (8z-2z)/(3z-z) = 6z/2z = 3 Perpendicular slope: -1/3 Equation: y -5z = -1/3(x -2z) => y = -1/3x+2z/3+5z => y = -1/3x+17z/3 General form of the bisector equation: x+3y-17z = 0
y= (7z- 1)/3 = 2z+ (z- 1)/3.x= (17y+ 1)/7 = 2y+ (3y+ 1)/7
4
x=2ab+7 x= 2(3)(5) +7 x=30+7 x=37