All Answers 358526 Answers

So thee hath approved of me posts!? It gives me no greater joy than to serve thee, oh great headmistress! 

Okay, it's been a while.

The answer is...

Magnusson got the money!

Both him and the woman told the truth.

Magnusson claimed to be the Amazing Alexis' grandson...

and the the woman claimed that the Amazing Alexis was not Magnusson's grandfather.

It was overlooked by all except Guest (#2) that the Amazing Alexis was in fact female!

Who's beautiful?

201

5x^2 + 3y^2 - 20x + 24y = -53       complete the square on x and y

5(x^2 - 4x  + 4)  +  3(y^2 + 8y + 16)  =   -53 + 20 + 48

5(x - 2)^2    +  3 (y + 4)^2  =   15     divide both sides by 15

(x - 2)^2 / 3   +  (y + 4)^2 / 5     =  1

This is an ellipse centered at ( 2 , -4)    with a major axis length  of 2sqrt(5)  and a minor axis length of 2sqrt(3)

Here's the graph : https://www.desmos.com/calculator/kklcz1gncn

1.54 e-14 raise to the 1/2

[1.54 e-14]^1/2 =1.241e-7

I'd believe that ths is a square.

4 sides that are equal in length and can be split into 2 pairs of perpendicular sides.

Or a rhombus. 

4 sides equal in length that can be split into 2 pairs of intersecting sides.

3 / 50   = x /90     cross-multiply

3 * 90   =   x * 50     divide both sides by 50

3 *  90  / 50   = x

270 / 50   = x

27 / 5   = x

5 2/5  hrs   = x   = 5.4 hrs  =  5 hr  24 min

if 29 is 86.21 how much is 33?

I'm going to take to mean, If 29:86.21, then what is 33?

86.21/29 X 33=98.10, so that

29:86.21 = 33:98.10

\((x-a)^2 + (y-b)^2 = r^2 \text{(equation of circle )} \\ 5x^2+3y^2-20x+24y=-53 \\ 5x^2+3y^2-20x+24y+(2)+(4)=-53+(2)+(4) \\ 5x^2-20x+2+3y^2+24y+4=-47 \\ \text{see } (a+b)^2=a^2+2ab+b^2 \text{and } (a-b)^2=a^2-2ab+b^2 \\ (\sqrt{5}*x-\sqrt{2})^2+(\sqrt{3}*x+2)^2=-53 \)

your equation is WRONG may be you forget smth but i did it anyway just to show you, do the same on your equation 

asking a question, what does it look like?