Question

Find the distance between the two points rounding to the nearest tenth (if necessary).

Answer 1

Answer:

$\displaystyle d \approx 9.8$

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 Plane

• 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 (5, 7)

Point (-4, 3)

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]:                                                           $\displaystyle d = \sqrt{(-4 - 5)^2 + (3 - 7)^2}$
2. [√Radical] (Parenthesis) Simplify:                                                                    $\displaystyle d = \sqrt{(-9)^2 + (-4)^2}$
3. [√Radical] Evaluate exponents:                                                                      $\displaystyle d = \sqrt{81 + 16}$
4. [√Radical] Simplify:                                                                                           $\displaystyle d = \sqrt{97}$
5. [√Radical] Approximate:                                                                                  $\displaystyle d \approx 9.8$