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Answer :

Answer:

[tex]4\sqrt{2}[/tex]

Step-by-step explanation:

Use the distance equation

[tex]\sqrt{(x1-x2)^2+(y1-y2)^2}[/tex]

insert values (5,-2)=(x1,y1) and (1,2)=(x2,y2)

[tex]\sqrt{(5-1)^2+((-2)-2)^2}[/tex]

[tex]\sqrt{16+16}[/tex]

[tex]4\sqrt{2}[/tex]

Hope that helps :)