Answer: Second option
[tex]d=\sqrt{85}[/tex]
Step-by-step explanation:
The formula to find the distance between two points is:
[tex]d=\sqrt{(x_2-x_1)^2 + (y_2-y_1)^2}[/tex]
In this problem the points are C(0, 4), T(-6, -3)
This is
[tex]x_1=0\\\\x_2=-6\\\\y_1=4\\\\y_2=-3[/tex]
So the distance is:
[tex]d=\sqrt{((-6)-0)^2 + ((-3)-4)^2}[/tex]
[tex]d=\sqrt{(-6)^2 + (-7)^2}[/tex]
[tex]d=\sqrt{36 + 49}[/tex]
[tex]d=\sqrt{85}[/tex]
