Question

What is the approximate distance between points A and B?

Answer 1

Answer:

$\displaystyle d \approx 7.62$

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

Step-by-step explanation:

Step 1: Define

Find points from graph.

Point A(1, 4)

Point B(-2, -3)

Step 2: Find distance d

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

1. Substitute in points [DF]:                    $\displaystyle d = \sqrt{(-2-1)^2+(-3-4)^2}$
2. (Parenthesis) Subtract:                       $\displaystyle d = \sqrt{(-3)^2+(-7)^2}$
3. [√Radical] Exponents:                        $\displaystyle d = \sqrt{9+49}$
4. [√Radical] Add:                                   $\displaystyle d = \sqrt{58}$
5. [√Radical] Evaluate:                           $d = 7.61577$
6. Round:                                                 $\displaystyle d \approx 7.62$