2. a tree casts a 13-foot shadow. the distance from the top of the tree to the far end of the shadow is 22 feet. if the tree is perfectly straight and creates a right angle with the ground, how tall is the tree?

We use the Pythagorean Theorem.

Hypotenuse = 22  one leg = 13

other leg^2 = 22^2 - 13^2

other leg^2 = 484 -169

other leg^2 = 315

other leg = 17.7482393493 (which is the height of the tree).

Step-by-step explanation:

your answer would be b

step-by-step explanation:

(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