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Find the distance between (-5,6)and (3,2).

User Timvp
by
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1 Answer

10 votes

Answer:


\displaystyle d = 4√(5)

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

Point (-5, 6) → x₁ = -5, y₁ = 6

Point (3, 2) → x₂ = 3, y₂ = 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 Formulas]:
    \displaystyle d = √((3+5)^2+(2-6)^2)
  2. [Distance] [√Radical] (Parenthesis) Add/Subtract:
    \displaystyle d = √((8)^2+(-4)^2)
  3. [Distance] [√Radical] Evaluate exponents:
    \displaystyle d = √(64+16)
  4. [Distance] [√Radical] Add:
    \displaystyle d = √(80)
  5. [Distance] [√Radical] Simplify:
    \displaystyle d = 4√(5)
User Jash
by
7.7k points

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