Respuesta :

Answer:

D=10.44

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) = (5,-5) [/tex]

[tex] (x_2,y_2) = (2,5) [/tex]

Replacing these values in the distance formula

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

[tex]D =\sqrt{(3)^2+(-10)^2}[/tex]

[tex]D =\sqrt{9+100}[/tex]

[tex]D =\sqrt{109}[/tex]

[tex]D= 10.4403[/tex]

Hence the Distance is 10.44 units

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