Respuesta :

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

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