Question

What is the distance between (2,2) and (7,7)

Answer 1

Answer:

$\displaystyle d = 5\sqrt{2}$

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

Coordinate Planes

• Coordinates (x, y)

Algebra II

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

Step-by-step explanation:

Step 1: Define

Identify.

Point (2, 2)

Point (7, 7)

Step 2: Find distance d

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

1. Substitute in points [Distance Formula]:                                                     $\displaystyle d = \sqrt{(7 - 2)^2 + (7 - 2)^2}$
2. [Order of Operations] Evaluate:                                                                  $\displaystyle d = 5\sqrt{2}$