Answer: D) Intersecting, but not perpendicular lines
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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.
Step-by-step explanation:
12+3y+2=0
=14+3y=0
=3y=0-14
=3y=-14
=y=-14/3, -4 2/3
Answer:
-0.6n+0.2p
Step-by-step explanation:
2.8n-0.9p-3.4n+1.1p
You can only add the numbers with the same variables (n,p)
2.8n-3.4n-0.9p+1.1p
= -0.6n+0.2p
