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Simplify the fraction to sqrt18/sqrt7

Simplify the sqrt18 to 3sqrt2

3sqrt2/sqrt7

Simplify it even further and you get 3sqrt14/7

The answer is \(\frac{3\sqrt{14}}{7}\)

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My life is complete.

Good job, Varxaax   ..... a "Best Answer"   !!!!

8 inch paper will be x

6 inch paper will be y

The height for x is 8, and the circumference is 6

6/pi=1.90985932

1.90985932/2=0.95492966

x≈22.92

The height for y is 6, and the circumference is 8

8/pi=2.54647909

2.54647909/2=1.27323955

y≈30.56

22.92+30.56=53.48

Then just multiply whatever number you put in that blank space and there you go!

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"Elementary, my dear Watson."

The y intercept is 1, and the slope is also 1.

The dotted line represents that the equation is y> (something)

y>x+1

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                                             N

21    22   23   24   25    26   27

                     25                   26

                     26                   25

                     27                   24                

                                            23 

N =   28

The common ratio  of the first series is   4  / 12    =1/3   = r

The  sum of the first series is   12  / ( 1  -r)   = 12  /(1  - 1/3)  = 12/ (2/3)  =  12 (3/2)  = 18

The  common  ratio of the  second  series  is     (4+ n) / 12 =  r

And we know that  in this series

12/ [ 1 -   (4 + n)  / 12  ]   =  36         simplify

12 * 12 /  [ 12 - 4 - n ] =  36

144 =  36 [ 8 - n ]

144  =  288  - 36n

36n =  288   -144

36n =  144

n = 144 /  36   =  4

Proof

Second series   =   (n + 4)  /12  =   (4 + 4)  /12  =  8/12  = 2/3

Sum

12 / ( 1 - 2/3)  = 

12 / (1/3)  =

12 (3/1)  =  36

"big brain"

"A cubic polynomial p(x) has leading coefficient 1, all real coefficients, and p(3 - 2i) = 0. If p(0) = −52, find p(x)."

Can you take it from here?

They asked for the one after 50, not after 125, you blubbering excuse of a mathematician.

Really mate, you're just going to copy the first answer when you google the question?

Disappointing.

The sequence goes as following, 0, 1, 1, 3, 6, 9, 27, 31, 124

The answer is 124

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EDIT: I'm dumb.

The volume of a cube is a^3

The surface area is 6a^2

a^3=5x=5*6a^2

Which is 30a^2

a=30

6a^2=6*30^2=5400

Yay!

ctrl+z

f(x)=x/3

f(x)=x/3+n

12+4=16

12+4+n=32

n=16

I'm kinda confused.

I think that's the answer.

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If  we  have vertical asymptotes  at  x  = 1  and  x  = 2.....the denominator  must be

( x  -1) ( x - 2)    =  x^2  -3x  + 2

Therefore

x^2  - 3x + 2  =  x^2  + ax  + b

a = -3      b =  2

a +  b   =     -1

Δ + q  = 59

(Δ + q) +  q   =  106

(59)  +  q  =  106

q =  106  - 59   =   47

So

Δ + 47 =  59

Δ =  59 - 47    = 12

I had a long answer typed in for this....then hit a wrong keyboard key and it all vanished...here is the condensed form

here may be an easier way ...bet here is A way:

ax² +bx +c = 0

When you sub in x = 0    you will find  c = 4

then when you sub in x= 1    you will find    a + b = 1

  sub in x=2     you find    4a + 2b = 6  

      solve thse two equations to find a = 2    and b = -1

so you have    2x^2 -x + 4 = 0      divide by    -2x^2 +2x     to find remainder = x+4    

2x^2  + 4x  - 1   =  6     rearrange   as

2x^2  + 4x - 7  =  0         

Call the solutions   a, b

The sum of  these  solutions   =  -4/2  =  -2 =  a + b

The product of these solutions  =   -7/2 =  ab    ⇒    2ab  =   -7       (1)

So

a + b =  -2

Square both sides

a^2  + 2ab  + b^2  =  4     (2)

Sub (1)  into (2)

a^2   - 7  + b^2  = 4            add 7 to both sides

a^2  + b^2   =    11

at least 3

Yeah idk what you mean because x=((-2+3sqrt2)/2)^2+((-2-3sqrt2)/2)^2 is not funky

It's around -8.5, but you figure it out.

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4m  - 4n   =  7  -   7n       rearrange  as

4m +  3n  =  7

The  second equation  can be rearranged  as

2m + (3/2)n   =  4           multiply   through  by  2

4m  + 3n   =  8

As  Varxaax   has  duly noted, there is  no solution

We  can't  add    4m + 3n     and    get  two different  quantities

Good job, Varxaax   !!!!!

The "Twilight Zone"  has arrived......

Varxaax   beat me to my own answer    ......LOL!!!!!!