Polygon abcd is plotted on a coordinate plane. if the polygon translates 3 units to the left and 1 unit down, the length of diagonal a’c’ is __ units ( 2,3or 6) if the polygon translates 3 units further to the left and four units down, the length of diagonal a’c’ ( increases, decreases or remains the same

What can you determine about the solutions of this system

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.

Use the ratio test to determine whether ∑n=14∞n+2n! converges or diverges. (a) find the ratio of successive terms. write your answer as a fully simplified fraction. for n≥14, limn→∞∣∣∣an+1an∣∣∣=limn→∞.