What is the length of the unknown leg in the right triangle?
22 mi
32 mi
104 mi
194 mi

mi

Step-by-step explanation:

For a right angled triangle, if the sides containing right angle is a and b then

hypotenuse to the triangle is given by hypotenuse =

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In  the problem side containing right angle is 9 mi and a mi

while hypotenuse mi.

Using formula for hypotenuse and using value 9 mi, a mi and we have

Thus length of unknown leg is mi.

(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