The coordinates of two vertices of a rectangle are (3,7) and (-4,7) . What isthe distance between the two vertices

The answer to your question is 7 units

Step-by-step explanation:

Data

A = (3, 7)

B = (-4, 7)

Process

1.- Write the formula of the distance between two points

dAB =

x1 = 3   y1 = 7   x2 = -4  y2 = 7

2.- Substitute the values

dAB =

3.- Simplify

dAB =

dAB =

4.- Result

dAB = 7 units

5.- Conclusion

The distance between these points is 7 units.

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: