Answer:
D) 11.2 Orange
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
Algebra II
- Distance Formula: [tex]\displaystyle d = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
Step-by-step explanation:
Step 1: Define
Find points from graph.
Point (-8, -1)
Point (-3, 9)
Step 2: Find distance d
Simply plug in the 2 coordinates into the distance formula to find distance d
- Substitute [DF]: [tex]\displaystyle d = \sqrt{(-3+8)^2+(9+1)^2}[/tex]
- Add: [tex]\displaystyle d = \sqrt{(5)^2+(10)^2}[/tex]
- Exponents: [tex]\displaystyle d = \sqrt{25+100}[/tex]
- Add: [tex]\displaystyle d = \sqrt{125}[/tex]
- Simplify: [tex]\displaystyle d = 5\sqrt{5}[/tex]
- Evaluate: [tex]\displaystyle d = 11.1803[/tex]
- Round: [tex]\displaystyle d = 11.2[/tex]
