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Answers:

Explanation:

Line A is vertical and it goes through -5 on the x axis. Every point on this vertical line has the same x coordinate. Since all x coordinates are -5, but y can vary, this means the equation of this vertical line is x = -5.

Line B is a similar story, but now x = 1 is the equation for line B. Two points on line B are (1,2) and (1,5); both of which have x coordinate of 1.

In general, the equation of any vertical line is always of the form x = k, where k is some real number.

For horizontal lines, the general form is y = k, for some real number k.

Line C has the equation y = 3 because two points like (0,3) and (1,3) are on this horizontal line. We can think of y = 3 as y = 0x+3, showing this horizontal line (and any horizontal line) has the slope 0. The slope of any vertical line is undefined.

The equation for line D is y = -2. We can write that as y = 0x-2, but it's easier to stick with y = -2. All points on line D have the same y coordinate -2.

To summarize:

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:

the answer is 21%.