The lines represented by the equations 20y−24x=−20 and 5y−6x=−5 are... a)perpendicular
b)the same line
c)neither parallel nor perpendicular
d)parallel

Choice B

Step-by-step explanation:

The best way to compare two lines is to solve for y.

The first equation:

For the first thing we should do is add the 24x on both sides which will cancel out itself on the left side . Now all we have to do is divide the 20 on both sides to leave us with .

The second equation:

For the first thing we should do is add the 6x on both side which will cancel itself on the left side . Now all we have to do is divide the 5 on both sides to leave us with .

Now for the comparison:

They are the same exact line. If you were to graph them they would overlap each other.

b: |12 – x| ≤ 0.25

step-by-step explanation:      

let x be the possible lengths in inches, of the ribbons jaime cut.

we have been given that jaime is cutting strips of ribbon for a project. he tries to cut each piece to be 12 inches long, but sometimes he cuts it too long or too short by as much as 0.25 inch.  

we can represent this information in an inequality as:

by the definition of absolute value function we will get,

upon combining our inequalities we will get,

therefore, the inequality   describes all the possible lengths (x), in inches, of the ribbons jaime cut.

step-by-step explanation: