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x^2-6x+7

Step-by-step explanation:

You can use synthetic division since you are dividing by a linear factor with leading coefficient 1.  (You can also do synthetic division when dividing by a linear factor whose leading coefficient is not 1 but it is a bit trickier.)

So since we are dividing by x-2, 2 goes on the outside.

(If we were dividing by x+2, -2 would go on the outside.)

Now the thing that goes on top inside is the dividend, the numerator which is 1x^3-8x^2+19x-14. If you were missing any terms you would have to place a zero but we aren't. All exponents between 3 and 0 (inclusive meaning to include the 3 and the constant term) on variable x is accounted for.  

2|  1   -8    19     -14

 |       2    -12      14

     1  -6     7       0

So the remainder is 0 and the quotient is x^2-6x+7.

the equation cos(35) =a/25 can be used to find the length of bc what is the length of bc? round to the nearest tenth

step-by-step explanation:

geometry: triangles

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lessons

answers archive

call the larger triangle abc

then the smaller triangle cde is similar to abc (all angles are equal, aaa).  

ab is the side that is 36, and we wish to find de, the side corresponding to ab

area_cde = area_abc - area_cde --> area_abc / area_cde = 2

let x=length of de

ratio of areas = (ratio of sides)^2

+2+=+%2836%2fx%29%5e2+

+2+=+1296%2fx%5e2+

++x%5e2+=+1296%2f2+=+648+

25.45584