Answer:
13 unit
Step-by-step explanation:
By the distance formula,
The distance between two points [tex](x_1,y_1)[/tex] and [tex](x_2, y_2)[/tex] is,
[tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
Thus, the distance between B(8,-7) and C(-4,-2) is,
[tex]BC=\sqrt{(-4-8)^2+(-2+7)^2}[/tex]
[tex]=\sqrt{(-12)^2+(5)^2}[/tex]
[tex]=\sqrt{144+25}[/tex]
[tex]=\sqrt{169}[/tex]
[tex]=13\text{ unit}[/tex]
