Respuesta :

Space

Answer:

[tex]\displaystyle d = \sqrt{65}[/tex]

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: [tex]\displaystyle d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}[/tex]

Step-by-step explanation:

Step 1: Define

Identify

Point A(3, 8)

Point B(-1, 1)

Step 2: Find distance d

  1. Substitute in points [Distance Formula]:                                                         [tex]\displaystyle d = \sqrt{(-1 - 3)^2 + (1 - 8)^2}[/tex]
  2. [√Radical] (Parenthesis) Subtract:                                                                   [tex]\displaystyle d = \sqrt{(-4)^2 + (-7)^2}[/tex]
  3. [√Radical] Evaluate exponents:                                                                       [tex]\displaystyle d = \sqrt{16 + 49}[/tex]
  4. [√Radical] Add:                                                                                                 [tex]\displaystyle d = \sqrt{65}[/tex]

Answer:

8.1

Step-by-step explanation:

the person who posted before was correct! they just forgot to change the format of the answer, see their response for an accurrate explanation :)