Question

Find the distance between (3,8) and (7,-11) round to the nearest hundredth

Answer 1

`d \approx 19.42`

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 (3, 8)

Point (7, -11)

Step 2: Find distance d

1. Substitute:
   `d = √((7-3)^2+(-11-8)^2)`
2. Subtract:
   `d = √((4)^2+(-19)^2)`
3. Exponents:
   `d = √(16+361)`
4. Add:
   `d = √(377)`
5. Evaluate:
   `d = 19.4165`
6. Round:
   `d \approx 19.42`