Answer:
Step-by-step explanation:
[tex](9,9) =(x_1,y_1)\\(6,5)=(x_2,y_2)\\\\d = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}\\[/tex]
Plug-in the values into the equation
[tex]d = \sqrt{(6-9)^2+(5-9)^2}\\ \\d = \sqrt{(-3)^2+(-4)^2}\\ \\d = \sqrt{9+16}\\ \\d = \sqrt{25} \\\\d =5[/tex]