Parallel lines refers to a pair of straight lines that never intercept or touch each other. The slopes of this lines is the same one.

On this exercise is given the equation of a line, and is asked to find the slope of a line that is parallel to the given one.

5x-3y=1 Subtract 5x in both sides
-3y=-5x+1 Divide by -3 in both sides to isolate y
y=5/3x-1/3

The slope of the given line, 5x-3y=1, is 5/3, which means that the slope of a line parallel to this one, would be 5/3.

4 0

3 years ago

Read 2 more answers

Number 5 ABC or D? Please help

RoseWind [281]

Answer:

Step-by-step explanation:

you want to solve it out

start with multiplying z to each. you don't multiply it to the 6 because it is in the same parenthesis set, but you multiply it to everything in the other set. After multiplying, you get: $2z^3$ , $3z^{2}$ , $5z$

now do that to the 6. After multiplying you get: $12z^{2}$ , $18z$ , $30$

now set it all next to each other $2z^3$ + $3z^{2}$ + $5z$ + $12z^{2}$ + $18z$ + $30$

now combine like terms. start with the to the highest power. since there is only one that has a third power, you put that one first. then you combine the squared ones, and so forth.

work combining the squares: $3z^{2} + 12z^{2} = 15z^{2}$

work combing the single z's: $5z + 18z = 23z$

to get this: $2z^3$ + $15z^{2}$ + $23z$ + $30$

so, the answer is D

4 0

3 years ago