Question

What is the answer?!!!

Answer 1

Answer:

$\displaystyle d = \sqrt{72}$

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

Step-by-step explanation:

Step 1: Define

Find points from graph.

Point (2, -3)

Point (8, -9)

Step 2: Find distance d

Simply plug in the 2 coordinates into the distance formula to find distance d

1. Substitute in points [DF]:                    $\displaystyle d = \sqrt{(8-2)^2+(-9--3)^2}$
2. (Parenthesis) Simplify:                        $\displaystyle d = \sqrt{(8-2)^2+(-9+3)^2}$
3. (Parenthesis) Subtract/Add:               $\displaystyle d = \sqrt{(6)^2+(-6)^2}$
4. [√Radical] Exponents:                        $\displaystyle d = \sqrt{36+36}$
5. [√Radical] Add:                                   $\displaystyle d = \sqrt{72}$