Answer: D) Intersecting, but not perpendicular lines
===============================================================
Explanation:
Let's solve the second equation for y
2x - 12y = 24
-12y = 24-2x ................... subtract 2x from both sides
-12y = -2x+24
y = (-2x+24)/(-12) ............ divide both sides by -12
y = (-2x)/(-12) + 24/(-12)
y = (1/6)x - 2
The slope here is 1/6 since the last equation is in y = mx+b form.
The slope of y = 6x-2 is 6
Multiplying the two slopes leads to (1/6)*(6) = 1. Since the result is not -1, this means the lines are not perpendicular.
The lines aren't parallel either because we would need to have the two slopes be equal. Parallel lines have equal slopes but different y intercepts.
Therefore, we consider these lines to be intersecting, but not perpendicular. The single point they intersect at is the solution to the system.
The equation is in y = mx + b form called slope y-intercept form. The slope of the line is so from the coordinate (0, 4) go up 2 lines, then move right 3 lines and plot a 2nd<span>point.</span>
4x+12=16
4x=4
x=1
or
-(4x+12)=16
-4x-12=16
-4x=28
x=-7
answer Choice C is correct
Answer:
10000*39
Step-by-step explanation:
Simplify the equation fully.
(125 + 25)(5 - 1)
(15625 + 625)(25 - 1)
(16250)(24)
390000
Divide the answer by 39
390000/39 = 10000