Melody

LOL Ginger

The answer that I see is 4,4,4,2

There are four different questions it is just the grammar that is a little suspect.

If the kids want to play with it and see something different what is the harm in that?

I will most likely get a mouthful now but I guess I can handle it.  

1) The angle sum of a quadriateral is 360 degrees

2) the angle at a point is 360 degrees

3) When subtended from the same arc, the angle at the centre is twice the angle at the circumference.

      In this case the angles are subtended from arc BC

Use facts 3 and 2 to get all the angles of the quadrilateral in terms of x and then use fact 1 to solve for x

12345678

12233344 that is no good  so it can't have 1 2 AND 3

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13334444 that works

12255555 that works

33355555

22666666

17777777

88888888

That is it.  There are 6 of them.

Just multiply the reproduction height by 3 

I don't. I am just trying to learn. LOL 

It is really good to see the group of you playing on the forum like this. It is exactly what what I want.

People to have some fun with numbers  

MobiusLoops has given you an excellent lesson in interpreting what is there ... NOT what you imagine is there. 

Yes it is       (-2z)^1                Because the terms are    4x+y+(-2z)

I am very pleased that you are so interested in mathematics and that you learned from this challenge.  

It would be very nice if you worked on your presention.

Yours all runs together so it is very difficult to make sense of. Plus you do not use brackets when they are needed. 

For most people maths is really hard. When they see a big block of letters and numbers and symbols they just turn off. 

That is not what you want.   

Thanks guest,

It is great to see that my post sparked some interest. :)

The first one is great.

You did make one small error though. (It is a very common error all through mathematics) 

Can you find it?  

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The second one is also good. I haver not checked it I am just impressed that you did it.  I assume it is correct since you did it with a program.

However I do not understand your formula.  How can 6+3- a positive number =28

mmmm

Oh maybe my detective work has worked.... do you mean  ??? 

  nCr

where  n=6+3-1          [Exponent of polynomial + number of terms - 1]

and r = 6                     [exponent of polynomial]

So that is       8C6 = 28       Bingo   

So for a nomal cubic binomial  (a+b)^3    There would be (3+2-1)C3 = 4C3 = 4 terms. 

Das ist Ausgezeichnet!   

Are you asking for a value of a and b that will make this work?

\(\displaystyle \lim_{x^-\rightarrow1} \frac{\sqrt{x+a}\;+b}{(x^2-1)}=1\)

No idea.

1. A ball is thrown upward from the roof of a building 60 m tall. The ball reaches a height of 80 m above the ground after 2s and hits the ground 6 s after being thrown. Determine an equation of the function.

When t=0   h=60     (0,60)

when t=2   h=80       (2,80)

when t=6   h=0        (6,0)

The equation is    h=ax^2+bx+c

Use these points (substitution and simultaneous equations) to determine the values of a b and c.