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:
45%
Step-by-step explanation:
Given data
Last year, the company sold a total of 5,340 ovens
This year, they sold 7,743 ovens
Percent increase= final-initial/initial*100
substitute
Percent increase= 7,743-5,340/5,340*100
Percent increase= 2403/5,340*100
Percent increase=0.45*100
Percent increase=45%
Hence the increase is 45%
Answer:
Step-by-step explanation:
-Given the cone's height is 9.1m and the Circumference is 12.1
#We use the circumference formula to calculate the radius:
-The volume of the cone using the radius above can then be calculated as follows:
Hence, the cone's volume is 
