Answer:
[tex]\displaystyle d = 13[/tex]
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
Point (-3, 2)
Point (9, -3)
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{(9+3)^2+(-3-2)^2}[/tex]
- (Parenthesis) Add/Subtract: [tex]\displaystyle d = \sqrt{(12)^2+(-5)^2}[/tex]
- [√Radical] Exponents: [tex]\displaystyle d = \sqrt{144+25}[/tex]
- [√Radical] Add: [tex]\displaystyle d = \sqrt{169}[/tex]
- [√Radical] Evaluate: [tex]\displaystyle d = 13[/tex]
