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What's the distance between (5,9) and (-4,2)

1 Answer

7 votes

Answer:


\displaystyle d = √(130)

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 I

  • Coordinates (x, y)

Algebra II

  • Distance Formula:
    \displaystyle d = √((x_2-x_1)^2+(y_2-y_1)^2)

Explanation:

Step 1: Define

Identify

Point (5, 9)

Point (-4, 2)

Step 2: Find distance d

Simply plug in the 2 coordinates into the distance formula to find distance d

  1. Substitute in points [Distance Formula]:
    \displaystyle d = √((-4-5)^2+(2-9)^2)
  2. [√Radical] (Parenthesis) Subtract:
    \displaystyle d = √((-9)^2+(-7)^2)
  3. [√Radical] Evaluate exponents:
    \displaystyle d = √(81+49)
  4. [√Radical] Add:
    \displaystyle d = √(130)
User Dan Syrstad
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