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2 votes
Find the distance between (4,6) and (-2, -2)

2 Answers

9 votes
the distance will be 10!
User Princesa
by
4.6k points
7 votes

Answer:


\displaystyle d = 10

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

Explanation:

Step 1: Define

Point (4, 6)

Point (-2, -2)

Step 2: Find distance d

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

  1. Substitute [DF]:
    \displaystyle d = √((-2-4)^2+(-2-6)^2)
  2. Subtract:
    \displaystyle d = √((-6)^2+(-8)^2)
  3. Exponents:
    \displaystyle d = √(36+64)
  4. Add:
    \displaystyle d = √(100)
  5. Evaluate:
    \displaystyle d = 10
User Uml
by
4.9k points