Y = -2x + 8 = x - 4
x + 2x = 8 + 4
3x = 12
x = 4
y = -2(4) + 8 = -8 + 8 = 0
Solution is (4, 0)
The triangle would be an acute triangle at 43 degrees
Factor the following:
126 u + 28 v + 126
Factor 14 out of 126 u + 28 v + 126:
Answer: 14 (9 u + 2 v + 9)
The question requires that the four lines that intersect form a parallelogram but not an specific parallelogram, so you are not restricted by a diagram.
You can use these equations for the four lines:
1) y = 0 (it is the x-axis)
2) y = 4 (it is a line parallel to the x-axis, whose y-intercept is 4.
3) y = x (it is an inclined line that intersects both y = 0 and y = 4 lines.
4) y = x + 7 (it is a line parallel to y = x, that also intersect the both y = 0 and y = 4 lines.
