First, let's convert each line to slope-intercept form to better see the slopes.
Isolate the y variable for each equation.
2x + 6y = -12
Subtract 2x from both sides.
6y = -12 - 2x
Divide both sides by 6.
y = -2 - 1/3x
Rearrange.
y = -1/3x - 2
Line b:
2y = 3x - 10
Divide both sides by 2.
y = 1.5x - 5
Line c:
3x - 2y = -4
Add 2y to both sides.
3x = -4 + 2y
Add 4 to both sides.
2y = 3x + 4
Divide both sides by 2.
y = 1.5x + 2
Now, let's compare our new equations:
Line a: y = -1/3x - 2
Line b: y = 1.5x - 5
Line c: y = 1.5x + 2
Now, the rule for parallel and perpendicular lines is as follows:
For two lines to be parallel, they must have equal slopes.
For two lines to be perpendicular, one must have the negative reciprocal of the other.
In this case, line b and c are parallel, and they have the same slope, but different y-intercepts.
However, none of the lines are perpendicular, as -1/3x is not the negative reciprocal of 1.5x, or 3/2x.
<h3><u>B and C are parallel, no perpendicular lines.</u></h3>
2:3:1
2+3+1 = 7
£72 / 7 = £10.28
Answer:
£10.28 * 2 = £20.56
£10.28 * 3 = £30.84
£10.28 * 1 = £10.28
If you want to check if it's correct. add all three of them and see if you get the £72.
Please make this answer the brainiest!
N=(-1,-4)
hmm, a 270 counterclockwise rotation is the same as a 90 degree clockwise
so that would become (-4,1)
N'=(-4,1)
Answer:
2x-1 (simplest)
Step-by-step explanation:
First put parentheses around 6x-3
The expression is (6x-3)/3
Simplify 2x-1
Make sure you divide both terms though (common mistake only dividing 1)