Question

What is the distance from L to M?

• L(-5. 4)
GEN
54
5
-1
M{3.-2)
HELP PLEASE

Answer 1

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 = √((x_2-x_1)^2+(y_2-y_1)^2)`

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