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What is the distance between the points M(–21, –7) and N(–5, –7)?

User MAS
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1 Answer

3 votes

Answer:


\displaystyle d = 16

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 M(-21, -7)

Point N(-5, -7)

Step 2: Identify

M(-21, -7) → x₁ = -21, y₁ = -7

N(-5, -7) → x₂ = -5, y₂ = -7

Step 3: 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 = √((-5+21)^2+(-7+7)^2)
  2. [Distance] [√Radical] (Parenthesis) Add:
    \displaystyle d = √((16)^2+(0)^2)
  3. [Distance] [√Radical] Evaluate exponent:
    \displaystyle d = √((16)^2)
  4. [Distance] Evaluate radical:
    \displaystyle d = 16
User Godess
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