Answer:

Step-by-step explanation:
We want to find the distance between two points, so the following formula is used.

Where (x₁, y₁) and (x₂, y₂) are the points we are finding the distance between.
We are given the points (-2, -1) and (3,2). If we match the corresponding value and variable we see that:
Substitute the values into the formula.

Solve the parentheses.
- -2 -3 = -5
- 2--1 = 2+ 1 = 3

Solve the exponents.
- (-5)²= -5*-5= 25
- (3)²= 3*3=9

Add.

This radical cannot be simplified, so the distance between the two points is <u>√34</u> and <u>choice 3 </u> is correct.
To answer this question, we just need to subtract the saved cloth from the requested cloth:

Since the fractions don't have the same denominator, we have to find the least common denominator. Luckily, since 6 goes into 12 twice, we can convert

into

:

Now that the fractions have a common denominator, we can subtract them:

The difference between the requested cloth and the saved cloth is 5/12 of a foot, or 0.4166'.
Answer: -1 1/2 to -1: -1 1/3 and -5/4
-1 to -1/2: -2/3, -3/4, -6/7, -5/6
-1/2 to 0: -1/3 and -3/8
0 to 1/2: 1/5, 1/10, 3/12, 3/8, 3/7, 1/3
1/2 to 1: 4/5, 6/10, 7/8, 7/9, 3/4, 8/10
1 to 1 1/2: 1 5/12, 9/8
Step-by-step explanation: