Prove using coordinate geometry. prove that the points (0,0), (4,0), (4, 4) and (0, 4) create a rhombus and then show that the midpoints of the sides of a rhombus determine a rectangle.

A(1,1) b(-3,0) c(-4,-1) d(3,-2) drag it to correct position

Acoffee shop orders at most $3,500 worth of coffee and tea. the shop needs to make a profit of at least $1,900 on the order. the possible combinations of coffee and tea for this order are given by this system of inequalities, where c = pounds of coffee and t = pounds of tea: 6c + 13t ≤ 3,500 3.50c + 4t ≥ 1,900 which graph's shaded region represents the possible combinations of coffee and tea for this order?

Solve the following pair of equations for x and y: ax/b_ by /a= a +b; ax - by = 2ab