Answer:
[tex]d = 4\sqrt{2}[/tex]
Step-by-step explanation:
Distance Formula: [tex]d = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
Simply plug in the 2 coordinates into the distance formula to find distance d:
[tex]d = \sqrt{(-4-0)^2+(-4-0)^2}[/tex]
[tex]d = \sqrt{(-4)^2+(-4)^2}[/tex]
[tex]d = \sqrt{16+16}[/tex]
[tex]d = \sqrt{32}[/tex]
[tex]d = 4\sqrt{2}[/tex]