@ Guest, not exactaly. Maybe you made a mistake in expanding.
We know that (x+1)(x-1) is x^2-1, because of difference of squares. (x^2-1)(x^2+1) is difference of squares, yet again, so this is x^4-1.
I'm not sure if you count constants as expressions or not. If so, then it is 0, if not, then it is 1.
Not exactly, but you are getting closer! Let's think about it case by case.
So, you are right that there is one chief, so that is 10.
Now, don't go ahead and choose the officers first! First, choose your two supporting chiefs. So that is 9C2.
Next, we choose our officers. It is not 5C2, since 1) we do not have 5 left (9-2=?) and 2) you need 4 officers, not 2 officers.
Can you go from here?
Is it a tinypic photo? TinyPic has recently shut down, and deleted the pictures of all the users who have had a free account...(sigh, competition between google photos...)...I'm no internet expert...but I think they might be gone forever? Just include the link of your previous question, and I may be able to reanswer it...
To start: Use the length of a bisector theorem: https://proofwiki.org/wiki/Length_of_Angle_Bisector to find AX.
This is not the formula itself, but part of the process in finding the formula. You will see if you click on the link.
The formula that says: AX=ac/(b+c)...
Plug in the coresponding values: 30(21)/(45+21)...
Can you solve that?
We can change this shape into two easier shapes to deal with: 2 semi circles and 1 rectangle.
Now, we see that 2 semi circles is equal to one circle. So, let's first calculate the area of the circle. That is pi(r^2), which in this case is 16pi. (I got the radius from half of 8)
Now, what about the rectangle? We know that the width is 8...but what about the length? Well, it's not 18! As you see, we need to subtract 2r, which is 8, from 18. This gives us 10. So, 8(10) is 80.
Now, adding the two areas together, we get 80+16pi.
Let TU and VW be chords of a circle, which intersect at S, as shown. If ST = 3, TU = 15, and VW = 3, then find SW.
Euclid's Proposition 36, book 3: https://mathcs.clarku.edu/~djoyce/java/elements/bookIII/propIII36.html
Euclid's Proposition 36, book 3 states that ST*SU=SW*SV
Since we want to find SW to get SV, we can change SW to x.
We already know the other lengths:
From here, we see that when expanded, this becomes 54=x^2-3x.
Solving the quadratic, we see that SW is 12, therefore SV is 9.
EDIT: Or, you could refer to the link in @above....(the steps and reasoning are slightly different, you can look there if you do not understand what I am talking about...)