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Sagot :
Answer:
[tex]\displaystyle d = 5[/tex]
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
- Left to Right
Algebra I
- Coordinates (x, y)
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 (-1, -3)
Point (2, 1)
Step 2: Find distance d
Simply plug in the 2 coordinates into the distance formula to find distance d
- Substitute in points [Distance Formula]: [tex]\displaystyle d = \sqrt{(2--1)^2+(1--3)^2}[/tex]
- [√Radical] (Parenthesis) Subtract: [tex]\displaystyle d = \sqrt{(3)^2+(4)^2}[/tex]
- [√Radical] Evaluate exponents: [tex]\displaystyle d = \sqrt{9+16}[/tex]
- [√Radical] Add: [tex]\displaystyle d = \sqrt{25}[/tex]
- [√Radical] Evaluate: [tex]\displaystyle d = 5[/tex]
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