Catarina's boat has come untied and floated away on the lake. She is standing at the top of a cliff that is 35 feet above the water in the lake. If she stands 10 feet from the edge of the cliff, she can visually align the top of the cliff with the water at the back of the boat. Her eye level is 5.5 feet above the ground. Approximately how far out from the cliff is Catarina's boat? Round to the nearest tenth.

(x3 + 6x2 + 2x - 6) • (x - 1)

step-by-step explanation:

polynomial long division :

3.2     polynomial long division

dividing :   x4+5x3-4x2-8x+6

                              ("dividend")

by         :     x-1     ("divisor")

dividend     x4   +   5x3   -   4x2   -   8x   +   6

- divisor   * x3     x4   -   x3            

remainder         6x3   -   4x2   -   8x   +   6

- divisor   * 6x2         6x3   -   6x2        

remainder             2x2   -   8x   +   6

- divisor   * 2x1             2x2   -   2x    

remainder               -   6x   +   6

- divisor   * -6x0               -   6x   +   6

remainder                     0

quotient :   x3+6x2+2x-6   remainder:   0

2500

step-by-step explanation:

b. 153 students do not participate in sports and seventy-five 12th graders were surveyed