Answer:
13.
parallel: y = 1/3x -3
perpendicular: y = -3x - 3
14.
parallel: y = 4x - 1/2
perpendicular: y = -1/4x - 1/2
15.
parallel: y = -2x + 4
perpendicular: y= 1/2x + 4
16.
parallel: y = -2x-2
perpendicular: y= 1/2x-2
17.
parallel: y = -2x+8
perpendicular: y= 1/2x + 8
Step-by-step explanation:
A perpendicular has a negative reciprocal slope and a parallel has the same slope
Let's make things easier by simplifying things.
y = 8 and x = 3 is more likely to be understood as a ratio. So for the rest of the answer, their relationship would be represented as y:x
Thus: y:x = 8:3
The problem would be finding y when x = 45
Let us proceed on using the previous equation and substitute x with 45 which would look like this:
y:45 = 8:3
Ratios can also be expressed as fractions which would make things more understandable and easy to solve. So the new form of our equation would be like this:
y/45 = 8/3
Then we proceed with a cross multiplication where the equation becomes like as what is shown below:
3y = 45 * 8
From there, you can solve it by multiplying 45 and 8 then dividing the product with 3 to get y
3y = 360
y = 120
Another way of looking at the problem, especially problems like these, is to take the whole question or statement as an equation. it would probably look like this:
y = 8 when x = 3 : y = ? when x = 45
This would make you understand what approach you can use to solve the given problem.
5% sales tax would be $0.70
That would be D. When you factor out the "x" you get x(13-29)
