Answer:
[tex]D = 7\sqrt 2[/tex]
Step-by-step explanation:
Given
[tex]A = (-3,-4)[/tex]
[tex]B = (4,3)[/tex]
Required
The distance between them
This is calculated as:
[tex]D = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
So, we have:
[tex]D = \sqrt{(3-(-4))^2+(4-(-3))^2}[/tex]
[tex]D = \sqrt{7^2+7^2}[/tex]
[tex]D = \sqrt{2(7^2)}[/tex]
[tex]D = 7\sqrt 2[/tex]
