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