Avideo game designer places an anthill at the origin of a coordinate plane. a red ant leaves the anthill and moves along a straight line to (1,1), while a black ant leaves the anthill and moves along a straight line to (-1,-1). next, the red ant moves to (2,2), while the black ant moves to (-2,-2). then the red ant moves to (3,3) while the black ant moves to (-3,-3), and so on. explain why the red ant and the black ant are always the same distance from the anthill.

Abusiness plan is centered around a circular area of distribution. the plan calls for the radius of the distribution to increase 50 miles per year. the investors have asked that the plan include a reference to the area of distribution based on the number of years in business. these functions model this plan: radius in y years: r(y) = 50y total area: a(r) = πr2; r in miles what is a(r( the total area in y years? a(r(y)) = 50πy2 a(r(y)) = 2,500πy2 a(r(y)) = 50πr2 a(r(y)) = 2,500πr2