Question

Find the distance between (-5,-8) and (-1,16). If necessary, round to the nearest tenth.

Answer 1

`\displaystyle d \approx 24.3`

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:
  `\displaystyle d = √((x_2-x_1)^2+(y_2-y_1)^2)`

Explanation:

Step 1: Define

Point (-5, -8)

Point (-1, 16)

Step 2: Find distance d

Simply plug in the 2 coordinates into the distance formula to find distance d

1. Substitute in points [DF]:
   `\displaystyle d = √((-1+5)^2+(16+8)^2)`
2. (Parenthesis) Add:
   `\displaystyle d = √((4)^2+(24)^2)`
3. [√Radical] Exponents:
   `\displaystyle d = √(16+576)`
4. [√Radical] Add:
   `\displaystyle d = √(592)`
5. [√Radical] Simplify:
   `\displaystyle d = 4√(37)`
6. [√Radical] Evaluate:
   `\displaystyle d = 24.3311`
7. Round:
   `\displaystyle d \approx 24.3`