Respuesta :

Answer:

12.083 units

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) = (-9,4) [/tex]

[tex] (x_2,y_2) = (2,-1) [/tex]

Replacing these values in the distance formula

[tex]D =\sqrt{(-9-2))^2+(4-(-1))^2}[/tex]

[tex]D =\sqrt{(-11)^2+(5)^2}[/tex]

[tex]D =\sqrt{121+25}[/tex]

[tex]D =\sqrt{146}[/tex]

[tex]D= 12.083 [/tex]

Hence the distance is 12.083 units

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