Answer:c
Step-by-step explanation:
Given
Two points are given [tex](9,-2)[/tex] and [tex](6,3)[/tex]
We know distance between two points [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex]
Distance [tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
Substituting values we get
[tex]d=\sqrt{(6-9)^2+(3-(2))^2}[/tex]
[tex]d=\sqrt{(-3)^2+(5)^2}[/tex]
[tex]d=\sqrt{9+25}[/tex]
[tex]d=\sqrt{36}[/tex]
[tex]d=6\ units[/tex]
Thus option c is correct
