Respuesta :

Space

Answer:

[tex]d \approx 7.3[/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 (-9, 3)

Point (-7, -4)

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{(-7+9)^2+(-4-3)^2}[/tex]
  2. Add/Subtract:                       [tex]d = \sqrt{(2)^2+(-7)^2}[/tex]
  3. Exponents:                           [tex]d = \sqrt{4+49}[/tex]
  4. Add:                                      [tex]d = \sqrt{53}[/tex]
  5. Evaluate:                              [tex]d = 7.28011[/tex]
  6. Round:                                 [tex]d \approx 7.3[/tex]