Question

What is the distance between the points (6,2) and (1,-5)


PLEASE ANSWER QUICK

Answer 1

Answer:

$\displaystyle d = \sqrt{74}$

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

Point (6, 2) → x₁ = 6, y₁ = 2

Point (1, -5) → x₂ = 1, y₂ = -5

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]:                                                       $\displaystyle d = \sqrt{(1-6)^2+(-5-2)^2}$
2. [Distance] [√Radical] (Parenthesis) Subtract:                                                 $\displaystyle d = \sqrt{(-5)^2+(-7)^2}$
3. [Distance] [√Radical] Evaluate exponents:                                                   $\displaystyle d = \sqrt{25+49}$
4. [Distance] [√Radical] Add:                                                                                $\displaystyle d = \sqrt{74}$