Question

Find the distance between A(2,4) B(3,6)

Answer 1

Answer:

$d = \sqrt{5}$

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 A (2, 4)

Point B (3, 6)

Step 2: Find distance d

1. Substitute:                    $d = \sqrt{(3-2)^2+(6-4)^2}$
2. Subtract:                       $d = \sqrt{(1)^2+(2)^2}$
3. Exponents:                   $d = \sqrt{1+4}$
4. Add:                              $d = \sqrt{5}$