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Given the points A(3, -8) and B(1, 2), what is the approximate length of AB?

O 10.2
O 6.3
O 10.8
O 7.2
O 12.2

2 Answers

5 votes

Answer:

10.2

Explanation:

User Gvb
by
8.0k points
6 votes

Answer:


d \approx 10.2

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:
    d = √((x_2-x_1)^2+(y_2-y_1)^2)

Explanation:

Step 1: Define

Point A (3, -8)

Point B (1, 2)

Step 2: Find distance d

  1. Substitute [DF]:
    d = √((1-3)^2+(2+8)^2)
  2. Subtract/Add:
    d = √((-2)^2+(10)^2)
  3. Exponent:
    d = √(4+100)
  4. Add:
    d = √(104)
  5. Simplify:
    d = 2√(26)
  6. Evaluate:
    d = 10.198
  7. Round:
    d \approx 10.2
User DasPete
by
8.0k points

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