The point ( 6 , 4 ) is translated to the point ( 166 , 74 ) using two translations. The first translation is by vector h ( 3 2 ) . The second translation is by vector k ( 4 − 1 ) . Work out the values of h and k .

Abucket of paint has spilled on a tile floor. the paint flow can be expressed with the function p(t) = 6(t), where t represents time in minutes and p represents how far the paint is spreading. the flowing paint is creating a circular pattern on the tile. the area of the pattern can be expressed as a(p) = 3.14(p)^2 part a: find the area of the circle of spilled paint as a function of time, or a[p(t)]. show your work. part b: how large is the area of spilled paint after 8 minutes? you may use 3.14 to approximate pi in this problem.