Kite A B C D is shown. Diagonals are drawn from point A to point C and from point B to point D and intersect. The distance from B to the intersection is 9, the distance from C to the intersection is 12, the distance from D to the intersection is 16, and the distance from A to the intersection is 12. What is the length of the sides of kite ABCD?

AB = 20; CD = 15
AB = 15; CD = 20
AB = 9; CD = 16
AB = 24; CD = 25

If the graph of f(x)=9x^2+37x+41/3x+5 has an oblique asymptote at y=3x+k what is the value of k

At the olympic games, many events have several rounds of competition. one of these events is the men's 100-meter backstroke. the upper dot plot shows the times (in seconds) of the top 8 finishers in the final round of the 2012 olympics. the lower dot plot shows the times of the same 8 swimmers, but in the semifinal round. which pieces of information can be gathered from these dot plots? (remember that lower swim times are faster.) choose all answers that apply: a: the swimmers had faster times on average in the final round. b: the times in the final round vary noticeably more than the times in the semifinal round. c: none of the above.

You deposit $5000 each year into an account earning 3% interest compounded annually. how much will you have in the account in 30 years?