Question

Find the distance between the

Answer 1

Answer:

$\displaystyle d = \sqrt{29}$

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 I

• Coordinates (x, y)

Algebra II

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

Step-by-step explanation:

*Note:

The distance formula is derived from the Pythagorean Theorem.

Step 1: Define

Identify

Point (5, 10)

Point (10, 12)

Step 2: Find distance d

1. Substitute in points [Distance Formula]:                                                         $\displaystyle d = \sqrt{(10 - 5)^2 + (12 -10)^2}$
2. [√Radical] (Parenthesis) Subtract:                                                                   $\displaystyle d = \sqrt{5^2 + 2^2}$
3. [√Radical] Evaluate exponents:                                                                       $\displaystyle d = \sqrt{25 + 4}$
4. [√Radical] Add:                                                                                                  $\displaystyle d = \sqrt{29}$