Prove the the triangle with vertices a(−2,4,0), b(1,2,−1) and c(−1,1,2) is regular.

Efficient homemakers ltd. makes canvas wallets and leather wallets as part of a money-making project. for the canvas wallets, they need two yards of canvas and two yards of leather. for the leather wallets, they need four yards of leather and three yards of canvas. their production unit has purchased 44 yards of leather and 40 yards of canvas. let x be the number of leather wallets and y be the number of canvas wallets. draw the graph showing the feasible region to represent the number of the leather and canvas wallets that can be produced.

The radius of the sphere is 10 units .what is the approximate volume of the sphere use π=3.14

Mrs. piazza invested 8000 in a certificate of deposit that pays 3% simple interest for 4 years. how much will be in mrs. piazza's account at the end of 4 years