Question

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

round to the nearest tenth.
C (-2,6), D (10,-8)

Answer 1

`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 = √((x_2-x_1)^2+(y_2-y_1)^2)`

Explanation:

Step 1: Define

Point C (-2, 6)

Point D (10, -8)

Step 2: Find distance d

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