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The expression is equal to 6 - 3*sqrt(2).

(a) The expected value is 23/5.

(b) The expected value is now 54/11.

(c) The expected value is now 61/12.

(d) You must add eight 9's.

(e) You must add twelve 9's.

Google the polynomial remainder theorem. :))

Remember that if they are divisable, the remainder should be 0. 

=^._.^=

Equal vertical angles

32   =    6x  +  2

32  - 2   =  6x

30   = 6x

30  / 6    = x    =  5°

First, simplify the first equation:

\(x=1+\frac{\sqrt{3}}{x}\\x^2-x=\sqrt{3}\)

Then, notice that \(\frac{1}{(x+1)(x-2)}\) simplifies to \(\frac{1}{x^2-x-2}\), so we can replace it like so:

\(\frac{1}{\sqrt{3}-2}\)

To simplify, just multiply the top and bottom by the conjugate

\(\frac{\sqrt{3}+2}{(\sqrt{3}+2)(\sqrt{3}-2)}\\=\frac{\sqrt{3}+2}{3-4}=\frac{2+\sqrt{3}}{-1}\)

\(|2|+|3|+|-1|=\boxed{6}\)

true

Perpendicular line is a negative reciprocal sope. 

-2/5 turns into 5/2. 

y = 5/2x + b

2 = 5/2(-7) + b

39/2 = b

y = 5/2x + 39/2

=^._.^=

Probability   =   [ 1   -   P ( no boy) ]   =

1  -  C(10,4)  / C(20,8)  =

1   -  210  /  125970    =

4192 /  4199  ≈   .998  ≈   99.8%

Midpoint of  BC  =   [ ( 1  + 7) /2   , (6 + 2) / 2  ]   =  (4,4)

Call this  point, M

So....the  line  through  AM  has a slope of

(  7 - 4)   / ( -1 - 4)   =

3 /  -5   =

-3 / 5 

One  1 x 1  square

Three  2 x 2   squares

One  3 x 3  square

One 4 x 4 square

One 5 x 5  square

1^2   +  3*2^2   +  3^2   +  4^2   +  5^2  =

1  +   12  +  9   +  16   +   25   =

63

f(1)    means  we  go over on  the  x axis   to  x = 1

Then   reading  down  to   where  we  intersect   the  graph, the  y  value at   this point =   -1

So

f (1)  =   -1

Does  this make sense  ???

i´m confused i was talking about 15

1) There are 18 ways the boys can be seated.

2) There are 12 different possible values of X + Y.

tan (angle ) = opposite / adjacent         opposite is 120 ft    adjacent = 1500 ft

   then arctan (angle ) =  120/1500 = _______________  degrees

https://web2.0calc.com/questions/square-of-a-binomial-help

okay thanks.

(k-9)    = a+b        and     a*b = 25           factors of 25 :        5  5      25  1      -5   -5        -25   -1        (these are   'a' and 'b')

                                                                          since we want a square of a binomial.....only the RED pairs above apply ....

Taking each one :

k-9  = 5+5

k = 19                                  binomial is   (x+5)^2   = x^2 + 10x + 25

Can you do the other?                      

Just add the 'like' terms of   f and g together:

(7x^2 + 2x^2)   + ( -5x +4x)   +  (3-6)        for your result.....

t^2 -2t -56         will have a minimum value at   t = - b/2a         where a = 1  and b = -2       you can finish....

(the minumum value produced will be found by sub'ing into the equation  the value of 't found above)

****

Thank you so much! I wanted to make sure because my teacher solved it another way which gives us another answer.

But thank you so much!

Hey mnkmnk, Melody has answered helped answer this question here: https://web2.0calc.com/questions/please-help_7973

Yay!

Slope  =    (-2 - 7)  / ( 8 - - 1)  =   -9  /  9  =    -1

The slope  between any  two points  is  equal....so......

(  7 - y)

_______  =      -1

(-1 - - 6)

7 - y

_____  =    -1

    5

7 - y   =  5 * -1

7 - y   =    - 5

7 +  5   =  y    =  12