Answer:
15.23
Step-by-step explanation:
the length of XY =√(5+9)²+(-4-2)²
=√14²+(-6)²
=√196+36
=√232
= 15.23
[tex]\\ \rm\longmapsto XY=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
[tex]\\ \rm\longmapsto XY=\sqrt{(5+9)^2+(-4-2)^2}[/tex]
[tex]\\ \rm\longmapsto XY=\sqrt{(14)^2+(-6)^2}[/tex]
[tex]\\ \rm\longmapsto XY=\sqrt{196+36}[/tex]
[tex]\\ \rm\longmapsto XY=\sqrt{232}[/tex]
[tex]\\ \rm\longmapsto XY=15.2[/tex]
