Consider a matrixa∈ mm, nand a vectorb∈rm, and letax=bbe the correspondingsystem of linear equations. the systemax=0is then called thehomogeneous systemassociated toax=b. letsbe the set of solutions ofax=b, and lets0be the setof solutions of the associated homogeneous system. prove that ifx∈ sandu∈ s0thenx+u∈s.

Isuck at math ; ^; m a student solved this problem and said the answer is 3 feet. chase had a roll of ribbon that contained 7 7/8  feet of ribbon. he cut off one piece that was 3 5/8  feet long and another piece that was 1 1/4  feet from the roll. how much ribbon was left on the roll? is the student's answer reasonable? yes, the answer is reasonable. no, the answer is not reasonable. it should be about 2 feet. no, the answer is not reasonable. it should be about 13 feet. no, the answer is not reasonable. it should be about 4 feet.

In the diagram, ab is tangent to c, ab = 4 inches, and ad = 2 inches. find the radius of the circle.

How many square centimeters of wrapping paper will be used to wrap the shoe box?