please help me answer this

Answer:
10.77
Step-by-step explanation:
by using Pythagoras theorem we can find the distance between the points,
so...
distance between the points, which is the hypotenuse will be xy
difference between the y coordinates will be dy
difference between the x coordinates will be dx
according to pythagoras theorem,
[tex]xy^{2} = dx^{2} + dy^{2} \\xy^{2} = (-6-(-2))^{2} + (-5-5)^{2}\\xy^{2} =(-4)^{2} +(-10)^{2} \\xy^{2} =16+100\\xy^{2} =116\\xy =\sqrt{116} \\xy=10.77[/tex]