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5 votes
Find the distance between two points 5,5 and -4,6

User Ambat Bhath
by
3.3k points

2 Answers

2 votes
2 votes

Answer:

19.06

Explanation:

Put the points into the distance formula:


d=√((-4-5)^2+(6-5)^2)

Solve:


d=√((-9)^2+(1)^2)


d=√(82)


d=9.055385

User Naaman Newbold
by
3.7k points
5 votes
5 votes

Answer:


\displaystyle d = √(82)

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, 5)

Point (-4, 6)

Step 2: Solve for d

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

  1. Substitute in coordinates [Distance Formula]:
    \displaystyle d = √((-4-5)^2+(6-5)^2)
  2. [Distance] [√Radical] (Parenthesis) Subtract:
    \displaystyle d = √((-9)^2+(1)^2)
  3. [Distance] [√Radical] Evaluate exponents:
    \displaystyle d = √(81+1)
  4. [Distance] [√Radical] Add:
    \displaystyle d = √(82)
User Ermintar
by
3.6k points