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Mathematics 23 Online
OpenStudy (anonymous):

Please help explain this

OpenStudy (anonymous):

http://prntscr.com/1anlb6

OpenStudy (anonymous):

@dumbcow @Gators88

OpenStudy (dumbcow):

you rang...haha

OpenStudy (dumbcow):

crap you're gonna make me read

OpenStudy (anonymous):

:D

OpenStudy (anonymous):

what can i do you are the genius here :D

OpenStudy (dumbcow):

so goal is to find rate the birds are dying off so we can predict when they will go extinct this is finding slope from algebra \[slope = \frac{y_2 -y_1}{x_2 -x_1} = \frac{50,000 - 1,000,000}{40} = -23,750\] at that rate how long before you reach 50,000 \[23,750t = 50,000\] t = 2. something so between 2 and 3 yrs check my math, ididnt use a calc :{

OpenStudy (anonymous):

Yay, i did exactly like this :D although i didn't use the slope formula but i used the same logic. FYI your math is perfect :)

OpenStudy (dumbcow):

good to hear

OpenStudy (dumbcow):

any others? im getting off pretty soon

OpenStudy (anonymous):

yeah one more!

OpenStudy (anonymous):

actually two more :P

OpenStudy (anonymous):

http://prntscr.com/1anlb6

OpenStudy (anonymous):

and http://prntscr.com/1anqc6

OpenStudy (dumbcow):

1st link is a copy of bird problem 2nd link : solve for "x" in terms of y .... then add 4 to both sides its way too complicated to try to get "x+4" on 1 side first

OpenStudy (anonymous):

so what should i do ? :3

OpenStudy (anonymous):

here is the 2nd link http://prntscr.com/1aeuva

OpenStudy (dumbcow):

get "x" terms on 1 side \[xy -2x = 9-4y\] then the trick is to factor out the "x" \[x(y-2) = 9-4y\] divide \[x = \frac{9-4y}{y-2}\] add 4 \[x+4 = \frac{9-4y}{y-2}+\frac{4(y-2)}{y-2}\] simplify right side...

OpenStudy (anonymous):

where is this 4 coming from? just because it's in question we can add it in the equation?

OpenStudy (anonymous):

@dumbcow ?

OpenStudy (dumbcow):

oh sorry i was working on the other problem ...geometry :{ yes we can add anything we want as long as you do it to both sides of equation

OpenStudy (dumbcow):

k im pretty sure answer is E 1:12 just by eliminating the other possibilities i dont know how to prove its the answer though

OpenStudy (anonymous):

sorry im late lol

OpenStudy (anonymous):

yeah its at least 1/9

OpenStudy (dumbcow):

@Gators88 hey maybe you are better at geometry proofs

OpenStudy (anonymous):

i am sorry for late reply, my internet wasn't working >.< ok i got the answer for the first link but what about the 2nd link i can't get it ! >.<

OpenStudy (anonymous):

if you draw the third median from point P to bisect opposing side, you can see the triangle broken up into thirds (with the intersection point being the centroid). MNQ only lies in two of those, and is smaller in one than the other

OpenStudy (anonymous):

@Gators88 could you explain it with a diagram?

OpenStudy (anonymous):

the answer is E btw

OpenStudy (dumbcow):

here is what i can deduce: |dw:1371589247300:dw|

OpenStudy (anonymous):

how did you deduce this :@ i mean from where the 4x comes from?

OpenStudy (anonymous):

iam sorry but i am become really dumb at times you've got to explain me this !

OpenStudy (anonymous):

ok i have a picture of the 1:12

OpenStudy (anonymous):

how do i upload?

OpenStudy (dumbcow):

i forgot the name of the thm but for a centroid the diagonal NR is split into 2:1 ratio so NS = 1/2 SR MS = 1/2 SQ also MN = 1/2 QR by proportions triangle NPM has sides half that of PQR ... thus area is in ratio of 1:4 similarly since MNS has sides half that of QRS ... ratio of their areas is 1:4 that is where the 4x comes from

OpenStudy (anonymous):

post the link @Gators88

OpenStudy (anonymous):

i used colors to indicate where it keeps breaking in half

OpenStudy (anonymous):

its in my photo album

OpenStudy (anonymous):

sorry im new lol

OpenStudy (anonymous):

i could sketch it real quick in here even, where are the tools?

OpenStudy (dumbcow):

no just use the "attach file" button

OpenStudy (dumbcow):

you can upload anything from your computer

OpenStudy (anonymous):

on an ipad...i dont see attach file?

OpenStudy (anonymous):

yeah i got till here then? @dumbcow

OpenStudy (dumbcow):

below the text box you should see some blue buttons....."Equation" , "draw" "attach file" "post"

OpenStudy (anonymous):

hmmm...maybe my settings are off. one sec

OpenStudy (anonymous):

ok well in the mean time, you basically just have to draw a line segment from p to s. S is the centroid of the triangle, so you can cut each third in half from there. then cut them in half again...when you get to this point there are 12 triangles, and MNS are each half of one...making them 1/24th

OpenStudy (anonymous):

@Gators88 i cannot visualize this :(

OpenStudy (anonymous):

@dumbcow what should i do further?

OpenStudy (anonymous):

1 sec

OpenStudy (anonymous):

Il write it step by step

OpenStudy (dumbcow):

i got nothing ...from there i said x+4x+2? = 3/4 estimate 2? as at least 1/4 area then 5x = 1/2 x = 1/10 so that gives an upper estimate

OpenStudy (anonymous):

yeah thats a good way to estimate, but you can see it exactly by using PS, QS, and RS. redraw it without MN in the picture, it throws off the visualization.

OpenStudy (anonymous):

SN cuts the left triangle in half. SM cuts the right triangle in half. Draw a line segment from S to the approx center of QR

OpenStudy (dumbcow):

|dw:1371591152645:dw|

OpenStudy (anonymous):

Yes. now repeat process for each sixth. then connect MN ....each part of MNS are half of a triangle!

OpenStudy (anonymous):

so you have .5(1/12) + .5(1/12)

OpenStudy (anonymous):

for the upper two triangles, i drew bisector from M & N, not S. that will help visualize

OpenStudy (dumbcow):

oh ok

OpenStudy (anonymous):

upper two red triangles*

OpenStudy (anonymous):

lol thanks for assisting cow, this is driving me nuts haha

OpenStudy (dumbcow):

|dw:1371591521158:dw|

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