If g is a simple graph, its line graph l(g) is defined as follows: l(g) has one vertex for each edge in g, and two vertices of l(g) are adjacent if and only if the corresponding edges of g are adjacent. (a) draw l(c3), l(k3,1), l(k4) and l(w5). (b) assume that g is k-regular. show that l(g) is 2k – 2-regular.

Using two or more complete sentences, describe how you can find a vector parallel to b=-2,3

You are remodeling your kitchen. you’ve contacted two tiling companies who gladly told you how long it took their workers to tile of a similar size jim completed half the floor in 8 hours. pete completed half of the other floor in 7 hours. if pete can lay 20 more tiles per hour than jim, at what rate can jim lay tiles

Find the difference (8ab+a+2) - (3ab+6)