Respuesta :

.

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