Respuesta :

Answer:

Option A. [tex]\sqrt{65}\ units[/tex]

Step-by-step explanation:

we know that

the formula to calculate the distance between two points is equal to

[tex]d=\sqrt{(y2-y1)^{2}+(x2-x1)^{2}}[/tex]

we have

Observing the graph

[tex]B(3,5)\\C(2,-3)[/tex]  

substitute the values

[tex]BC=\sqrt{(-3-5)^{2}+(2-3)^{2}}[/tex]

[tex]BC=\sqrt{(-8)^{2}+(-1)^{2}}[/tex]

[tex]BC=\sqrt{64+1}[/tex]

[tex]BC=\sqrt{65}\ units[/tex]