Two horses are ready to return to their barn after a long workout session at the track. the horses are at coordinates h(1,10) and z(10, 1). their barns are located in the same building, which is at coordinates b(-3,-9). each unit/grid on the coordinate plane represents 100 meters. which horse is closer to the barn? justify your answer.

The given coordinates are
 Barn, B (-3,-9),
Horse H: (1, 10),
Horse Z: (10, 1).

Each unit on the coordinate plane represents 100 m.

Note that the distance between two coordinates (x₁, y₁) and (x₂, y₂) is


The distance between horse H and the barn is

That is, 1941.64 m = 1.94 km (nearest hundredth). 

The distance between horse Z and the barn is

That is, 1640.12 m = 1.64 km (nearest hundredth) 

Horse Z is closer to the barn.