XP Math Games Arcade

**Sillysidley** · 09-01-2007

No, it's
$2^{4^x}=2^{2(2^{x})}-><br /> 4^x=2^{x+1}-><br /> 2^{2x}=2^{x+1}-><br /> 2x=x+1-><br /> x=1$

09-01-2007

Fine, whatever. Next question.

09-01-2007

Quote:

Originally Posted by pianoforte

Find area of triangle with vertices the intersections of lines
y=3x+8, y=(1/2)x-5, 3+2x+2y=0.

*cough*

09-02-2007

Quote:

Originally Posted by pianoforte

*cough*

Did you just make up random equations? Those numbers come out very non-whole.

**Sillysidley** · 09-02-2007

VERY non-whole. All you do is put them in slope intercept form, put two of them at a time to be equal, find the coordinates that way, and use shoelace or whatever method you want to.

09-02-2007

Do we really have to solve the problem? Come on, I mean...

**Sillysidley** · 09-02-2007

Do we have to do all that "figuring out" stuff
/whine

09-08-2007

\sigh This is a long one. Time to play with graphing programs.

So you have three sets of linear equations for each vertex of the triangle. Each solution for each on is $(2\frac{1}{3},-3\frac{5}{6}),(-2\frac{3}{8},\frac{7}{8}),(-5\frac{1}{5},-7\frac{3}{5})$
So take the midpoint of $(2\frac{1}{3},-3\frac{5}{6})$ and $(-2\frac{3}{8},\frac{7}{8})$ which is $(\frac{1}{48},-\frac{71}{48})$ . Now take the distance between the midpoint and two endpoints, and multiply the two distances and divide by two to get the answer.

I have to go soon so someone can finish it up.

10-29-2007

Eh, I decided to revive this thread.

Find the volume of a tetrahedron with a surface area of 361 square meters.

**Sillysidley** · 10-29-2007

Regular or not?

09-01-2007	#61
Sillysidley Join Date: Oct 2006 Posts: 822	No, it's $2^{4^x}=2^{2(2^{x})}-><br /> 4^x=2^{x+1}-><br /> 2^{2x}=2^{x+1}-><br /> 2x=x+1-><br /> x=1$ __________________ .

09-02-2007	#65
Sillysidley Join Date: Oct 2006 Posts: 822	VERY non-whole. All you do is put them in slope intercept form, put two of them at a time to be equal, find the coordinates that way, and use shoelace or whatever method you want to. __________________ .

09-02-2007	#67
Sillysidley Join Date: Oct 2006 Posts: 822	Do we have to do all that "figuring out" stuff /whine __________________ .

10-29-2007	#70
Sillysidley Join Date: Oct 2006 Posts: 822	Regular or not? __________________ .

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