Pyramid

I guess you could do this sort of quesion by raising the numbers to a power until they are whole numbers and then working it out.

Raising the first one by squaring it gives

$6*9,100,49*2=54,100,98$

therefore the result would be

$3\sqrt{6},7\sqrt{2},10$

for the second one squaring it would be

$-4*3,-16,-9*2,-4*\frac{7}{2}=-12,-16,-18,-14$

so it is

$-3\sqrt{2},-4,-2\sqrt{\frac{7}{2}},-2\sqrt{3}$

(note that I changed to negative because of that)

for the third one you need to cube it

$21,27*2,21.952,8*5=21,54,21.952,40$

Then it becomes

$\sqrt[3]{21},2.8,2\sqrt[3]{5},3\sqrt[3]{2}$

(Sorry for errors, I kind of rushed it)

This makes sense.

However, I can only say that to an extent because this is kind of a paradox as it contradicts itself. Since cheese=no cheese, does that mean that nothingness turns into cheese? I'm saying this mathmatically as both sides of the = sign can be switched around. Also, these calculations don't nessacarily have to be in the same order if you just state that. If they are not in the order, something else happens. Therefore, cheese = no cheese is true under very strong circumstances.

(sorry if it was confusing because it is just what I think and might not be true)

Well,

First we have

$(\frac{x^2}{x^3})^6$

And then we can combine the powers of the x values so we have:

$({x}^{2-3})^6=(x^{-1})^6$

Then we can just simplify the powers:

$(x^{-1})^6=x^{-1*6}=x^{-6}$

Hope that helps.

I have the same solution as melody but i wanted to quickly explain that solution.

there are 9 digits.

9! is the solution if we didn't have repeated digits. but there are.

there are three pairs of digits. these digits can have the same thing if they are arranged in different ways.

2!

so there are less combinations now. these double digit combinations can combine together to make 2!2!2!. so (9!)/2!2!2! is the solution which is 45360.

Let's see...

We can use Pythagora's theorem:a^2+b^2=c^2.

1. side bc: let's move point b to 0,0. subtract the coordinates of point b to point c and you get that the coordinates of c is now 5,7. now, saying a=5 and b=7, we subsitute: 5^2+7^2=49+25=74. now as in the equation, we do sqrt(74), and done. same with others.

ans=8.6

side cd: since this is a right triangle, we just see what the difference between the 2 points are.

3,3 2,3

the difference is 5.

side db:-2,3 -2,-4

the difference is 7.

that is about all i can give you.I am having problems with this calculator on sine, cosine, and tangent so i cant give you angles.

I don't know about any of a easy way to draw them but I want to tell you that any two parabolas are the same, but maybe shifted and zoomed or shrunken.

I do as well but only a bit. And it's not geomatry it's geometry.

me too.

lets see...

1/8x+3y=3

We turn it into linear by moving the variable and the number:

1/8x=3-3y

1/8x-3=-3y

then we turn the -3y into y:

-1/24+1=y !

slope (or gradient)=-1/24

(I don't know if I am  right.)

Um... Where are the numbers?

Put to at the end so it makes sense. (I Don't know I'm putting grammar here)