Question

Use the distance formula to find the distance between cach pair of points. If necessary,

Answer 1

Answer:

$d \approx 18.4$

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

1. Brackets
2. Parenthesis
3. Exponents
4. Multiplication
5. Division
6. Addition
7. Subtraction

• Left to Right

Algebra II

• Distance Formula: $d = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}$

Step-by-step explanation:

Step 1: Define

Point C (-2, 6)

Point D (10, -8)

Step 2: Find distance d

1. Substitute:                    $d = \sqrt{(10+2)^2+(-8-6)^2}$
2. Add/Subtract:               $d = \sqrt{(12)^2+(-14)^2}$
3. Exponents:                   $d = \sqrt{144+196}$
4. Add:                              $d = \sqrt{340}$
5. Simplify:                        $d =2 \sqrt{85}$
6. Evaluate:                       $d = 18.4391$
7. Round:                          $d \approx 18.4$