Respuesta :

Space

Answer:

[tex]\displaystyle d = 6[/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

Point A(-1, 7)

Point B(5, 7)

Step 2: Find distance d

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

  1. Substitute in points [DF]:                    [tex]\displaystyle d = \sqrt{(5--1)^2+(7-7)^2}[/tex]
  2. (Parenthesis) Simplify:                        [tex]\displaystyle d = \sqrt{(5+1)^2+(7-7)^2}[/tex]
  3. (Parenthesis) Add/Subtract:               [tex]\displaystyle d = \sqrt{(6)^2+(0)^2}[/tex]
  4. [√Radical] Exponent:                          [tex]\displaystyle d = \sqrt{(6)^2}[/tex]
  5. [√Radical] Evaluate:                           [tex]\displaystyle d = 6[/tex]