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Find the distance between (3,8) and (7,-11) round to the nearest hundredth

User Ragini
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1 Answer

3 votes

Answer:


d \approx 19.42

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 (3, 8)

Point (7, -11)

Step 2: Find distance d

  1. Substitute:
    d = √((7-3)^2+(-11-8)^2)
  2. Subtract:
    d = √((4)^2+(-19)^2)
  3. Exponents:
    d = √(16+361)
  4. Add:
    d = √(377)
  5. Evaluate:
    d = 19.4165
  6. Round:
    d \approx 19.42
User Gappa
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