Question

What is the length of AC? A. Square root of 2 B. Square root of 5 C. 3 D. 5

Answer 1

Answer:

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: $d = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}$

Step-by-step explanation:

Step 1: Define

Find points from graph.

Point A (-3, 2)

Point C (-1, 3)

Step 2: Find distance d

1. Substitute [DF]:                    $d = \sqrt{(-1+3)^2+(3-2)^2}$
2. Add/Subtract:                       $d = \sqrt{(2)^2+(1)^2}$
3. Exponents:                           $d = \sqrt{4+1}$
4. Add:                                      $d = \sqrt{5}$