Question

What is the distance from L to M?

Answer 1

Answer:

A. 10 units

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)
• Reading a Cartesian plane

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 L(-5, 4)

Point M(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]:                                                       $\displaystyle d = \sqrt{(3+5)^2+(-2-4)^2}$
2. [√Radical] (Parenthesis} Add/Subtract:                                                         $\displaystyle d = \sqrt{(8)^2+(-6)^2}$
3. [√Radical] Evaluate exponents:                                                                     $\displaystyle d = \sqrt{64+36}$
4. [√Radical] Add:                                                                                               $\displaystyle d = \sqrt{100}$
5. [√Radical] Evaluate:                                                                                       $\displaystyle d = 10$