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.

Distance between points and is



Distance from H to B:

d=\sqrt{(1-(-3))^2+(10-(-9))^2}=\sqrt{16+361}=\sqrt{376}" alt="d=\sqrt{(10-(-3))^2+(1-(-9))^2}=\sqrt{169+100}=\sqrt{269}" />d=\sqrt{(1-(-3))^2+(10-(-9))^2}=\sqrt{16+361}=\sqrt{376}" /> units.

Distance from Z to B:

units.

Horse Z is closer to the barn.

(The conversion to meters is not required; the question does not ask for actual distances, so "units" is OK.)