ilorty

ah, thanks!

Oh yeah! Paresh asked me this question, and I'm just giving the answer to eveybody, so they can learn from it. (since the question was private)

what is the radius of the circle? I think it got cut off.

Wow! After some research, apparently googol factorial is larger than the amount of particals in the universe! But, if I were to geuss, it should be undefinded? I'm probably wrong, as numbers are infinite.

It seems that my LaTeX has not loaded properly. Wherever it says \(2n, I mean 2n < n-4

Solving directly for n is pretty hard. Which is why we can divide this up into two inequalities:

\(2n

and

\(n-4\leq3n+8\)

Let's solve the first one:

\(2n

\(\text{Subtract n from both sides}\)

\(n<-4\)

Now, let's solve the second one:

\(n-4\leq3n+8\)

\(\text{Subtract n from both sides}\)

\(-4\leq2n+8\)

\(\text{Subtract 8 from both sides}\)

\(-12\leq2n\)

\(\text{Divide by 2}\)

\(-6\leq n\)

So, our inequality is now:

\(-6 \leq n < -4\)

Therefore, the integer solutions are:

\(\boxed{-6, -5}\)

Wow! Wonderfully presented answer, as usual. Just wondering, how did you get the boxes? With the \boxed{} command? For me, that only worked for one line, so how did you put all those lines of math into the box? 

This requires some angle chasing, which I think is pretty fun.

So, we see that since m and n are parallel, the angle next to B is also 65 degrees. So, to solve for B, we add 55+65+B and subtract that from 180. Try that.

For A, we know that all the angles in a triangle add up to 180. So,  A+B+65 and subtract that from 180.

Once you have done what is put in green, you will get the answers you need.

To find the inverse of a function, you first need ot swap in "y" for the "f(x)"

Then, we need to switch the x for the y and vice versa.

Then, solve for the y.

If the answers seem to be correct, maybe check the way you formatted your answer? A lot of times, people format the answer incorrectly, and the website reads it in a different way.