Which expression can be used to determine the length of segment ZY?

Answer:
Step-by-step explanation:
Using the pythagorean theorem, you can set up the following equation to find the length of segment ZY:
[tex]\sqrt{{XY}^2+{ZX}^2}=ZY[/tex]
Since XY has length (4-1)=3, and ZX has length (3-(-5))=8, you can plug this into the equation to find that:
[tex]ZY=\sqrt{3^2+8^2}=\sqrt{73}[/tex]
Hope this helps!