Respuesta :

Answer:

Distance between mall and library is 6.32 miles.

Step-by-step explanation:

Coordinates of the door to the library is at (2, 4) and door to the mall is at (8, 4).

Since, distance between two points [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex] is given by,

Distance = [tex]\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

By this formula,

Distance between (2, 4) and (8, 4) will be,

Distance = [tex]\sqrt{(8-2)^2+(2-4)^2}[/tex]

               = [tex]\sqrt{36+4}[/tex]

               =  [tex]\sqrt{40}[/tex]

               = 6.32 miles