Question

What is the distance between the following points?
WILL GIVE BRAINLIEST!!

Answer 1

Answer:

A. 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

• Reading a 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 points from graph.

Point (8, 5)

Point (4, 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]:                                                         $\displaystyle d = \sqrt{(8 - 4)^2 + (5 - 2)^2}$
2. [√Radical] (Parenthesis) Subtract:                                                                   $\displaystyle d = \sqrt{4^2 + 3^2}$
3. [√Radical] Evaluate exponents:                                                                       $\displaystyle d = \sqrt{16 + 9}$
4. [√Radical] Add:                                                                                                 $\displaystyle d = \sqrt{25}$
5. [√Radical] Evaluate:                                                                                         $\displaystyle d = 5$