Answer:
AB = 13
Step-by-step explanation:
The formula of a distance between two points
[tex]A(x_1,\ y_1),\ B(x_2,\ y_2)\\\\d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
We have the points A(-1, -3) and B(11, -8).
Substitute:
[tex]AB=\sqrt{(-8-(-3))^2+(11-(-1))^2}=\sqrt{(-8+3)^2+(11+1)^2}\\\\=\sqrt{(-5)^2+12^2}=\sqrt{25+144}=\sqrt{169}=13\\\\\sqrt{169}=13\ \text{because}\ 13^2=169[/tex]
