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if batman can beat super  man can bat woman beat super wonan

there are no right angles

it is the sq root of 300

you would youse the phyagorean therom, you would take the first tryangel and cut it in half know you have  a right tryangel with the hypotnuse of 19 19/2 is one leg the other is 9.5 sq -19 sq do this with the second tryangel

do you mean:

(-10 - √48)

divided by:

-2

??

I don't believe this might be correct, Melody.......your drawing has "A" at the bottom left, and, in order clockwise from this point, we have "B," "C" and "D."  And the problem states that "B," "C" and "D" lie on the horizontal plane. So this triangle must form the "base." And, by Heron's formula, its area is

A = √(s(s-BD)(s-BC)(s-CD))  where s = [10 + 6 + 6]/ 2   = 11 

So we have

A = √((11)(1)(5)(5)) = √(275) = 16.583 units  (???)

Actually....I'm not sure we have anything, here......If BCD lies on the horizontal plane, DAB is just some triangular "flap" that shares a common side with BCD.... ("A" doesn't touch the plane, according to the problem)

Maybe I'm seeing this incorrectly, or interpreting it incorrectly???

We can find one angle using the tangent inverse....we have

tan^-1(30/.9375) = about 88.21°

So...the other angle is just (90 - 88.21)°  =  about 1.79°

The volume of the water and the marble added together will provide a clue.

V_water = pi(r^2) h = pi(4cm)^2(6cm)  = 96pi cm^3

V_marble = (4/3)pi(1.2cm)^3 = 2.304pi cm^3

So.....the volume of the two things added together is 98.304pi cm^3

So we have the volume of the two things occupying some space in a cylinder =

98.304pi cm^3 = pi(4cm)^2(h)    and solving for h, we have

98.304pi cm^3 / (4cm)^2 = h = 6.144 cm

So the water will rise .144 cm

I am doing fine, what about you?

on this calculator, to do a power of a number, use the $$x^y$$ symbol.

The button is the the left of the 7.

Hope this helps! :)

I got bored so i solved it...

Step1...

$$\frac{(123456789+14236789)^2-(123456789-14236789)^2}{(123456789)(14236789)}$$

Step2...

$$\frac{(137693578)^2-(109220000)^2}{1757628255610521}$$

Step 3...

$$\frac{18959521422422084-11929008400000000}{1757628255610521}$$

Step 4...

$$\frac{7030513022422084}{1757628255610521}$$

Step 5...

$$3.999999999988621$$

nm.. wbu?

(4x + 7)(5x + 6)

20x^2 + 24x + 35x + 42

20x^2 + 59x + 42

Tada!

15241578750190521

Here's an alternative method:

.

I believe you are correct Takahiro,

Hi Takahiro,

I wonder how many people here can read Japanese?   :)

I guess they can all use the free Bing or Google translators.

That is another skill that would be good for them to learn.  Thank you :)      

I am glad that you are here tonight   

Ahh.. I believe you are refering to the 'Beal's Conjecture'

Well... To my knowledge... No-one has solved it completely... If that is the case. i don't think you will find it here.

Obviously this is related to Fermat's Last Theorem, which was proved true by Andrew Wiles in 1994,  A wide array of sophisticated mathematical techniques could be used in the attempt to prove the conjecture true.

Though, I can say, the Beal Conjecture is correct,X  Y Z
prime factor, meeting all the conditions presented.

I did a little bit of reseach into a thesis on the Beal's Conjecture and Fermat's Last Theorem and I found a relatively interesting answer. I'll put it on here.

ナツまたはナルト。それは答えるのは非常に難しい質問です。彼らは自分の意見を持っているとして、それは個人間で異なります。私はナルトを見て最後の時間を覚えていない。私はそれが終了していると聞きました。私はなぜわかりませんが、私はとても幸せです。

@@ End of Day Wrap       Sat 29/11/14       Sydney,   Australia        Time 11:50 pm          ♬

Good evening,

It hasn't been that busy but there have been many good answer from Alan, CPhill, heureka, Rosala, Mamallama, SelenaPubblT, cue123smile, oboeduck and gliu1.   Thanks everone.   

Here is a few interest posts:

1) Fractional powers of negative numbers.    Thanks Alan

Sun30/11/14

1) Beal's conjecture     Thanks TakahiroMaeda.

Do you understand it now Rosala?

I think that oboeduck is a great username too.

Is your nickname Duck?

Do you play the oboe?  It is a beaut insrument!  

Thanks Melody!even i couldnt understand this one!nice answer!

$$x^2+4x-21$$

You need to find 2 numbers that multiply to -21  (note: one will have to be neg and the other positive)

There aren't many to choose from   3,7       21,1

now these two numbers also have to add to +4 for the biggest one will be the positive one.

Easy  +7,-3

so the answer it

(x+7)(x-3)