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Sagot :
Answer:
[tex]\displaystyle d = 10[/tex]
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
- Left to Right
Algebra II
- Distance Formula: [tex]\displaystyle d = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
Explanation:
Step 1: Define
Point (-4, 2)
Point (2, -6)
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{(2+4)^2+(-6-2)^2}[/tex]
- (Parenthesis) Add/Subtract: [tex]\displaystyle d = \sqrt{(6)^2+(-8)^2}[/tex]
- [√Radical] Exponents: [tex]\displaystyle d = \sqrt{36+64}[/tex]
- [√Radical] Add: [tex]\displaystyle d = \sqrt{100}[/tex]
- [√Radical] Evaluate: [tex]\displaystyle d = 10[/tex]
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