Answer:
y=
x-6.5
Step-by-step explanation:
= 
= 
y=mx+b
-8 = () (-6) +b
-8 = - 
+b
b= -6.5
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>
Answer:
202.5cm^2
Step-by-step explanation:
P=2l+2w
63=2(9)+2w
63=18+2w
63-18=2w
45=2w
divide both sides by 2
22.5=w
check:
P=2(9)+2(22.5)
=18+45
=63
Area=l×w
=22.5×9
=202.5cm²
It will cost $90 and you will need 100 boards
The terminal end of the angle has dropped 25° under the x-axis.
That's Quadrant-IV .
