Question

What is the length of AC?

A. Square root of 2
B. Square root of 5
C. 3
D. 5

Answer 1

B. √5 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 II

• Distance Formula:
  `d = √((x_2-x_1)^2+(y_2-y_1)^2)`

Explanation:

Step 1: Define

Find points from graph.

Point A (-3, 2)

Point C (-1, 3)

Step 2: Find distance d

1. Substitute [DF]:
   `d = √((-1+3)^2+(3-2)^2)`
2. Add/Subtract:
   `d = √((2)^2+(1)^2)`
3. Exponents:
   `d = √(4+1)`
4. Add:
   `d = √(5)`