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Mathematics 13 Online
OpenStudy (anonymous):

@e.mccormick

OpenStudy (e.mccormick):

Boo.

OpenStudy (e.mccormick):

1) D, yes. I like that one best too! 2) C, yep!

OpenStudy (anonymous):

3 is right

OpenStudy (e.mccormick):

Oh, sure, I scroll down to tell you and someone beat me to it! =P

OpenStudy (anonymous):

5 is right

OpenStudy (anonymous):

4 I don't know, I haven't taken geometry in too long

OpenStudy (e.mccormick):

OK, for 4... A(4a, 4b), B(4c, 4b) are the top because they share y values... (0,0) and C(4d, 0) are the botom, So the ends of the midline are... \[\left(\frac{4a+0}{2},\frac{4b+0}{2}\right), \; \left(\frac{4c+4d}{2},\frac{4b+0}{2}\right)\] Now.... midpoint of that...

OpenStudy (anonymous):

No idea o.o

OpenStudy (e.mccormick):

\[\left(\left[\frac{4a+0}{2}+\frac{4c+4d}{2}\right]\cdot \frac{1}{2},\left[\frac{4b+0}{2}+,\frac{4b+0}{2}\right]\cdot \frac{1}{2} \right)\]

OpenStudy (e.mccormick):

OK! Now to simplify... and yes, I am doing this on the fly...

OpenStudy (e.mccormick):

\[\left(\left[\frac{4a+4c+4d}{2}\right]\cdot \frac{1}{2},\left[\frac{4b+4b}{2}\right]\cdot \frac{1}{2} \right)\] \[\left(\frac{4a+4c+4d}{4},\frac{4b+4b}{4}\right)\]

OpenStudy (e.mccormick):

AH HA! Now that looks like something usable.

OpenStudy (e.mccormick):

Care to revise your guess?

OpenStudy (e.mccormick):

YEP! What I did is called the midpoint formula. I had to do it three times. The midpoint formula says this: To find the midpoint, take the two ends and average them. So: \[(x_1,y_1),(x_2,y_2)\implies \left(\frac{x_1+x_2}{2},\frac{y_1+y_2}{2}\right)\]

OpenStudy (e.mccormick):

Now, if you think of the middle as half way, the over 2 part makes sense.

OpenStudy (e.mccormick):

3 was right, like Peter said.

OpenStudy (e.mccormick):

Yah, yah. I am with Peter on 5 too.

OpenStudy (anonymous):

Awesome, thank you! Might have more to do in a bit if you can xD

OpenStudy (anonymous):

I'll be here for an hour and a half

OpenStudy (e.mccormick):

So all the funky points made of letters you got. Only one you had trouble with was the midpoint, or half way. It is an average problem.... and that is a pun. (Midpoint is the average of the points.)

OpenStudy (e.mccormick):

I can help a bit more, but I need to head home and shower! I am still at work. Had to run some new network cable and we do not do that when people use the office.

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