Melody

Also the equation being solved is 

ax^2+bx+c =0

NOT y=

Ah Hayley, thanks also be due to Sir CPhill and Serf Guest,

The Queen hath special magical powers Mistress Hayley, She can see all with her chrystal sphere.

Morgan La Faye loaned The Queen the orb so She could better govern Camelot!

By order of:

Queen Guinevere.

Sovereign of the Magical Kingdom of Camelot.

Vishesh, Hayley and guests

what is a cotangent of 60 ???

I always start by drawing a equilateral triangle of side length 2, and splitting it down the middle, for these problems.

\(cot 60 = \frac{adj}{opp} = \frac{1}{\sqrt3}\)

Hi Solveit,

What I want you to learn from my answer is how to post pictures  >:)

In a family of 8 children, what is the probability of the following gender birth:

1-That 4 are boys and 4 girls

8C4 * 0.5^4 * 0.5*^4 = 4C4 * 0.5^8

2-That 3 are boys and 5 girls, or 3 girls and 5 boys(which is the same probability)

8C3 * 0.5^8

3-That 2 are boys and 6 girls, or 2 girls and 6 boys(,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,)

8C2 * 0.5^8

4-That 1 is a boy and 7 are girls, or 1 girl and 7 boys(,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,)

8C1 * 0.5^8

5-That all 8 are girls, or all 8 are boys(,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,)

0.5^8

(x-5)(40-x) = 324

\((x-5)(40-x) = 324\\ -x^2+40x+5x-200=324\\ -x^2+45x-524=0\\ x^2-45x+524=0\\ \)

factor(524) = 2^2*131

ok there is not going to be any integer factors here. 

so you will need to use the quadratic formula or completing the squares method.

I am going to use the web2.0calc to find the answers

x^2-45x+524=0 = {x=-(((sqrt(71)*i-45)/2)), x=((sqrt(71)*i+45)/2)}

mmm  There are no real solutions.

because the discriminant, which is the bit under the square root, is negative.

I can check this by putting the original equation into the web 2 calc

(x-5)(40-x) = 324 = {x=-(((sqrt(71)*i-45)/2)), x=((sqrt(71)*i+45)/2)}

Yep that is the same :)

Hayley what do you want to hunt?  Rabbits?  

We have lots of rabbits in the caravan park I am in. They would make a juicy casserole :)

But they are cute to watch too :)

Thanks Hayley, 

It was brave of you to step up like that, sometimes bullies will turn on the protector, but you are right, most times they will just back off.

You are also right that the emotional support that an action like this offers is invaluable. :)

\(V=\pi r^2h_b + \frac{1}{3}\pi r^2 h_t\\ 72\pi=\pi r^2*9 + \frac{1}{3}\pi r^2 *9\\ 72\pi=\pi r^2*9 + \pi r^2 *3\\ 24= r^2*3 + r^2\\ 24= 4r^2\\ 6= r^2\\ r=\sqrt{6}\;units \)

Alan wrote this to show people how to upload pics.

I learned how to do it from here.