Respuesta :

Space

Answer:

D. 5 units

General Formulas and Concepts:

Pre-Algebra

  • Order of Operations: BPEMDAS

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

A (4, -5)

B (7, -9)

Step 2: Find distance d

  1. Substitute:                    [tex]d = \sqrt{(7-4)^2+(-9+5)^2}[/tex]
  2. Subtract/Add:               [tex]d = \sqrt{(3)^2+(-4)^2}[/tex]
  3. Exponents:                   [tex]d = \sqrt{9+16}[/tex]
  4. Add:                              [tex]d = \sqrt{25}[/tex]
  5. Evaluate:                      [tex]d = 5[/tex]

Answer:

5 units

Step-by-step explanation:

Use the pythagorean theorem to find the answer:

7-4=3

9-5=4

Now you have 2 sides of a triangle

3^2 + 4^2 =

9+16=

25

square root of 25=

5

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