Respuesta :

Space

Answer:

[tex]d = 3\sqrt{5}[/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 II

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

Step-by-step explanation:

Step 1: Define

Point A (2, -1)

Point B (-4, 2)

Step 2: Find distance d

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

  1. Substitute [DF]:                    [tex]d = \sqrt{(-4-2)^2+(2+1)^2}[/tex]
  2. Subtract/Add:                       [tex]d = \sqrt{(-6)^2+(3)^2}[/tex]
  3. Exponents:                           [tex]d = \sqrt{36+9}[/tex]
  4. Add:                                      [tex]d = \sqrt{45}[/tex]
  5. Simplify:                               [tex]d = 3\sqrt{5}[/tex]

Otras preguntas