Answer:
Neither parallel nor perpendicular
Step-by-step explanation:
I'm assuming you meant line k is y = 3x -2. If not, this is wrong.
For this, you need to put both lines in point-slope form, or the form that line k is already in. This means you only need to convert line m.
-2r + 6v = 18
6v = 2r + 18
v = 2/6r + 18/6
v = 1/3r + 3
Now you can answer the question.
To be parallel, lines must have the same slope (but a different y-intercept). 3 and 1/3 are not the same, so the lines are not parallel.
To be perpendicular, one line must have the opposite reciprocal (fraction flipped and + goes to - or - to +) of the other. While 3 is the reciprocal of 1/3, they are both positive, so they are not perpendicular.
To be the same line, the equations must be absolutely identical, which they aren't.
This leaves the last option: neither.
Let me know if you need a more in-depth explanation of anything here! I'm happy to help!
0.
The x on the bottom will cancel out the x on the top here.
Answer:
26
Step-by-step explanation:
8 + 3n
n = 6
8+3(6)
= 8 + 16
= 26
Answer:
465
Step-by-step explanation:
Let the number of girls at the festival be--------- g
Let the number of boys at the festival be---------b
The conditions are;
2/7 g = 3/5 b ---------------(i)
g-b= 165 ---------------------(ii)---------make g the subject of the expression
g= 165 +b---------------------(iii)--------use this equation in (i)
2/7 (165 +b)= 3/5 b -------multiply both sides by 7
7*2/7(165+b) =3/5*7 b
2(165+b)=21/5 b ------multiply both sides by 5
5*2(165+b) = 21/5*5*b
10(165+b) = 21 b -------open brackets
1650 +10 b = 21 b------collect like terms
1650 = 21 b- 10 b
1650 = 11 b -----divide both sides by 11
1650/11 = 11b/11
150 = b = number of boys
Using equation (ii) where g-b =165 ; g-150 =165 , g= 165+150 =315 number of girls
Total number of children at the festival = 150+315 =465
