In triangle DEF, C is the centroid. If DM=9, find DC and CM. DC is how many units?

Find the value of p for which the polynomial 3x^3 -x^2 + px +1 is exactly divisible by x-1, hence factorise the polynomial

The length of a rectangular board is 3 feet less than twice its width. a second rectangular board is such that each of its dimensions is the reciprocal of the corresponding dimensions of the first rectangular board. if the perimeter of the second board is one-fifth the perimeter of the first, what is the perimeter of the first rectangular board?

The elmina wilson company produces spaghetti sauce that is used in restaurants. the fixed costs total $1,329,050. the selling price per 64 oz. can of sauce is $12.40. the variable cost per can is $4.80. what is the break-even point in number of cans?