Question

What is the distance between tow points (1,5)(-8,4)

Answer 1

Answer:

$\displaystyle d = \sqrt{82}$

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, 5)

Point (-8, 4)

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]:                                                         $\displaystyle d = \sqrt{(-8-1)^2+(4-5)^2}$
2. [√Radical] (Parenthesis) Subtract:                                                                   $\displaystyle d = \sqrt{(-9)^2+(-1)^2}$
3. [√Radical] Evaluate exponents:                                                                       $\displaystyle d = \sqrt{81+1}$
4. [√Radical] Add:                                                                                                 $\displaystyle d = \sqrt{82}$