Question

What is the distance between tow points(-1,4)(3,2)

Answer 1

Answer:

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

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 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:

Step 1: Define

Identify

Point (-1, 4)

Point (3, 2)

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]:                                                         $\displaystyle d = \sqrt{(3--1)^2+(2-4)^2}$
2. [√Radical] (Parenthesis) Subtract:                                                                   $\displaystyle d = \sqrt{(4)^2+(-2)^2}$
3. [√Radical] Evaluate exponents:                                                                       $\displaystyle d = \sqrt{16+4}$
4. [√Radical] Add:                                                                                                 $\displaystyle d = \sqrt{20}$
5. [√Radical] Simplify:                                                                                           $\displaystyle d = 2\sqrt{5}$

Answer 2

Answer:

2√5

Step-by-step explanation:

Distance = √(x1-x2)² + (y1-y2)²

Distance = √(-1-3)² + (4-2)²

Distance = 2√5