A landscaper put 9 lilypads into a new pond. The number of lilypads triples each month over a period of time.

Write a function f(x) to model the number of lilypads in the pond after x months.

Look at the figure below: triangle abc is a right triangle with angle abc equal to 90 degrees. the length of ac is 5 units and the length of ab is 4 units. d is a point above c. triangle adc is a right triangle with angle dac equal to 90 degrees and dc parallel to ab. what is the length, in units, of segment cd?