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This is just kinda tedious.....expand ...... collect like terms   ...re-arrange in standard form to get

-15n^3+12n^2+8n+1

https://www.mathpapa.com/algebra-calculator.html

It is pretty cool on here. Sometimes entertaining.

oh I see I came a few weeks just because my brother showed me and I thought it would be cool.

I came to this site for math help 3 years ago

Oh I ment site wise how long have you had a file

How long have you been active on here?

Well you are rght it was off the well and it came at the top of my head but what I'm saying it's a bit like a puzzle...well it was but not anymore I'm asking with a self assumption the y intercept is the ramble of digits and x starts as zero what will I have in the next five years

So u did very simple division) I could do same) Help me if u know how to do it with integer division)

Multiply both sides of the equation by (2x+1)  to get

(2x+1)^2/x + 4x = 10x+5       now multiply by x

(2x+1)^2 + 4x^2 = 10x^2 + 5x     expand left side

4x^2 + 4x + 1   +  4x^2 = 10x^2 + 5x          collect like terms,,,,,and subtract   10x^2 and 5x from both sides

-2x^2 - x +1  = 0

2x^2+x-1 = 0

(2x - 1)( x + 1) = 0      x= 1/2    or  -1  

Thanks XD, wow this is a really long thread!

it isnt correct, coz "[]" means integer division))

OOOOOOH yeah egg nog but I have to be truthful I actually dislike egg nog *Sorry guys*

2x/4  + x/4 + x/8  + 507

3x/4  + x/8 + 507

6x/8 + x/8 + 507 =x

7/8 x + 507 = x

507 = 1/8 x

x = 507 (8) = 4056

Slope of this equationa at any given x is given by the derivative

3x^2 - 3   = slope 

At x = 2   slope ==   3(2)^2 - 3 = 9 

Tangent line    y = 9x + b

                    At 2,3      3= 9(2)+b     b = -15

y=9x-15

MN too cold for ya haha?

Thank you so much for your help EP , the explanations have really helped. I appreactiate your help seriously. It has helped a TON! THANK YOU

I will assume that  'opposite vertices' means diagonal corners.....

Find the length of the diagonal

Diagonal^2 = (1-7)^2 + (2-4)^2

                   = 36 + 4

                    = 40

Diagonal = sqrt 40       

It is a square, so the side lengths are all the same....the diagonal makes a right triangle with the sides

s^2 + s^2 = 40 ^2

2s^2=40^2

s^2 = 40^2 / 2

s^2 = 800

s= 28.28   units        Area = s x s = s^2 = 800 units^2        

Port Byron, New York, 30 degrees. Better then a couple of weeks ago thats for sure. I am happy with 30 degrees. I cant wait for summer though. I have no snow. Beat that rest of NY.

Some off-the-wall strange communicable disease maybe?   

   What are you asking?