Respuesta :

Answer:

20 units

Step-by-step explanation:

Hello!

We can use the distance formula: [tex]d = \sqrt{(x_2 - x_1)^2 + (y_2-y_1)^2}[/tex]

Plug in the x and y-values of the points and simplify.

Find the Distance

  • [tex]d = \sqrt{(x_2 - x_1)^2 + (y_2-y_1)^2}[/tex]
  • [tex]d = \sqrt{(12 - (-4))^2 + (5 - (-7))^2}[/tex]
  • [tex]d = \sqrt{(16)^2 + (12)^2}[/tex]
  • [tex]d = \sqrt{256 + 144}[/tex]
  • [tex]d = \sqrt{400}[/tex]
  • [tex]d = 20[/tex]

The distance between the two points is 20 units.