Answer:
D. 16.6
Step-by-step explanation:
Here we are given with two coordinates and asked to determine the distance between them.
Here we are going to use the distance formula, which is given as under
[tex]D=\sqrt{(y_2-y_1)^2+(x_2-x_1)^2}[/tex]
Where
[tex] (x_1,y_1) = (-3,9) [/tex]
[tex] (x_2,y_2) = (6,-5) [/tex]
Replacing these values in the distance formula
[tex]D =\sqrt{(-3-6)^2+(9-(-5))^2}[/tex]
[tex]D =\sqrt{(-9)^2+(9+5)^2}[/tex]
[tex]D =\sqrt{(-9)^2+(14)^2}[/tex]
[tex]D =\sqrt{81+196}[/tex]
[tex]D =\sqrt{277}[/tex]
[tex]D= 16.6433[/tex]
Hence the Distance is 16.60 units