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The smallest possible value of |alpha| + |beta| is 2 + sqrt(3).

3x-2x=7

x=7

So a prisim that has a face of 7 edges is a Heptagonal Prisim.

Horsey is some one i know, she does not have any real questions or answers, she just wants to get points.

180-108=72 

72/2=36

180-36*2=108

180-108=72 hence, our final answer is 72.

Thank you so much Omi67!

The numbers r that work are 3 mod 180.

We need the two functions to be equal, and their slopes to be equal.

\(2x^2+kx+6=-x+4\\4x+k=-1\\ \text{so:}\\2x^2+(k+1)x+2=0\\4x+(k+1)=0\)

Use the second to replace k+1 in the first and solve for x

\(2x^2-4x^2+2=0\\2x^2 = 2\\x^2=1\\x_1=1\\x_2=-1\)

Now \(k=-1-4x\)  so I'll leave it to you to decide which value of x to substitute in here in order to obtain a negative value for k.

i ned help.

Find x.

Hello Guest!

\(acot(9/x)+acot(10/x)+atan(9/x)+atan(10/x)=180^0\)

\(x = 1,25355\)     Brünner

  !

aircraft 1: x + 100

aircraft 2: x

aircraft 3: x - 27

              3x + 73 = 373    |-73

                      3x = 300    | :3

                        x = 100

                        x + 100 = 200

                        x - 27 = 73

C''(-10,-2)

Whoops.

Thank you so much!~

Your methodology is correct, but you've made an arithmetic mistake:

\(3x+6=282\)

\(3x=282-6=276\)

\(x=92\)

Hope this helps!

The perimeter could be 24 or 26

6*6 = 36         6*4 = 24

4*9 = 36        4+4+9+9 = 26  

Thank you!

(-infinity,3] U [3,infinty)

?

4/7 = 0.571428571428571428.....etc

Groups of 6 digits repeat.  125 = 5 mod(6), and the 5'th digit of the 6 repeating digits is 2, so this is the 125'th digit beyond the decimal point. 

Hint

The circumference of a circle is  2pi*r   and a circle has  360 degrees 

so

length of an arc  =    \(\frac{\text{angle in degrees} }{360}*radius.\)

That is enough of a hint, if you want to interact with me (or whichever answerer that is around) that would be good.

That answer is incorrect, and is one of the previously known incorrect answered, sorry...

 (?????)

"OK Kiddo"??? who are you to say that? 

Plus, 1/2 is definitely not correct - just use logic; the first jar has 1/2 quart in it after pouring 1/2 into the second jar, then the second jar gives 1/3 * 1/2 = 1/6 back, then it keeps going back and forth so it would never be EXACTLY 1/2, even if it might come close.

plus, 1/0 is undefined, and in your sol you multiply it by 5/9 and subtract that from 5/9 to get... 1/2 !!! Welp i guess I learned something new today!

The 125th digit is 1.

There are 38 ways.

That first line is the multiplied-out equivalent of 4*(x+4). 

It took me a while to see that, maybe this note will save the next guy a couple of minutes. 

_.

Prove that 6^n - 1  is divisible by 5 for all positive integers n.     

I can't prove it with mathematic symbols and stuff, but I can prove it with words.  

No matter how many times you multiply 6 by itself, the product will always end with a 6. 

When you subtract 1, the number ends with a 5.  Any number that ends with a 5 is divisible by 5. 

Is that good enough? 

_.