.
We were given,
X(-7,10)
Y(3,4)
Required to find;
XY
Recall,
XY is the distance between X and Y
Therefore,
XY will be given by
[tex]XY=\sqrt{(x_2-x_1)^2+}(y_2-y_1)^2[/tex]On substitution:
[tex]\begin{gathered} XY=\sqrt{(3--7)^2+(4-10)^2} \\ XY=\sqrt{10^2+6^2} \\ XY=\sqrt{100+36} \\ XY=\sqrt{136} \\ XY=2\sqrt{34} \\ XY=\text{ 11.66} \end{gathered}[/tex]Therefore XY = 11.66 units