The area of a triangle with vertices (x 1, y 1 ), (x 2, y 2 ), and (x 3, y 3 )is represented by the formula on the right where the plus or minus symbol indicates that the appropriate sign should be chosen to yield a positive area. use determinants to find the area of the triangle whose vertices are (negative 9, 7 ), (4, 8 ), and (9, negative 9).

(05.02)a farmer has decided to divide his land area in half in order to plant soy and corn. calculate the area of the entire area so he knows how much soil is needed. a parallelogram with a height of 6 yards and side length 9 yards. the height forms a triangle with the slanted side of the rhombus with a base of 2.5 yards. rhombus is split into a soy half and a corn half. each bag of soil covers 40 square yards. how many bags should the farmer purchase?