Respuesta :

Therefore the length of a line segment [tex]\bar {CD}[/tex] is =9.43 units

Step-by-step explanation:

Given the coordinate of C is (-3,1) and D is (5,6)

The length of a line  segment [tex]\bar {AB}[/tex]with endpoint A at [tex](x_1,y_1)[/tex] and endpoint B at [tex](x_2,y_2)[/tex] is  =  [tex]\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

Here [tex]x_1=-3 ,y_1=1[/tex]  and   [tex]x_2=5,y_2=6[/tex]

Therefore the length of a line segment [tex]\bar {CD}[/tex] is [tex]\sqrt{(5+3)^2+(6-1)^2}[/tex]

                                                                           =[tex]\sqrt{89}[/tex] units

                                                                           =9.43 units