Answer:
[tex]d = \sqrt{164} = 12.8[/tex]
Step-by-step explanation:
We can find the distance using the distance formula:
[tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
We then substitute (2,-3) as [tex](x_1,y_1)[/tex] and (10,7) as [tex](x_2,y_2)[/tex].
[tex]d=\sqrt{(10-2)^2+(7--3)^2} \\d=\sqrt{(8)^2+(10)^2} \\d=\sqrt{64+100}\\d=\sqrt{164}=12.8[/tex]
