(a) In triangle ABC, the line BD is perpendicular to AC. AD= (x + 6) cm, DC = (x + 2) cm and the height BD=(x + 1) cm. The area of triangle ABC is 40 cm? i) Show that x2 + 5x - 36= 0. ii) Solve the equation x2 + 5x – 36 = 0. iii) Calculate the length of BC.

Jackie purchased 3 bottles of water and 2 cups of coffee for the family for $7.35. ryan bought 4 bottles of water and 1 cup of coffee for his family for 7.15. how much does each bottle of water cost? how much does each cup of coffee cost?

The edge of a cube was found to be 30 cm with a possible error in measurement of 0.4 cm. use differentials to estimate the maximum possible error, relative error, and percentage error in computing the volume of the cube and the surface area of the cube. (round your answers to four decimal places.) (a) the volume of the cube maximum possible error cm3 relative error percentage error % (b) the surface area of the cube maximum possible error cm2 relative error percentage error %

If a company produces x units of an item at a cost of $35 apiece the function c=35x is a of the total production costs