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Mathematics 16 Online
OpenStudy (babynini):

Halp.

OpenStudy (babynini):

OpenStudy (babynini):

@zepdrix

OpenStudy (babynini):

can you help? :)

zepdrix (zepdrix):

AHHHH I'm too tiredddddd -_- what's going on now? are the ones you filled in already, correct? you think so?

OpenStudy (babynini):

Yeah I think they're correct, but not for sure. aww i'm sorry you're tired D:

zepdrix (zepdrix):

What is c..?

OpenStudy (babynini):

c^2=a^2+b^2 c^2=36+64 oh..so 10

zepdrix (zepdrix):

o, ok that looks better

zepdrix (zepdrix):

\[\Large\rm P=\left(10,\frac{32}{3}\right),\qquad F_1=(-6,0),\qquad F_2=(6,0)\]So use your distance formula, ya?

OpenStudy (babynini):

we can just use the p point like that?

OpenStudy (babynini):

how do we use the distance formula here? :o

zepdrix (zepdrix):

\[\Large\rm d(P,F_1)=\sqrt{(10--6)^2+\left(\frac{32}{3}-0\right)^2}\]ya? :d

zepdrix (zepdrix):

Shouldn't the focus points be related to the c values? Hmm sec, reading up on some of this stuff >.<

OpenStudy (babynini):

\[\sqrt{256+\frac{ 1024 }{ 9 }}\]

OpenStudy (babynini):

?

OpenStudy (babynini):

err, dangit. Yeah I think. So it would be f1= (-10,0) f2=(10,0)

OpenStudy (babynini):

so that changes this next part we just did. oopsies.

zepdrix (zepdrix):

oh true :3 heh

OpenStudy (babynini):

soo I think d(p, f1) = 68

zepdrix (zepdrix):

\[\Large\rm P=\left(10,\frac{32}{3}\right),\qquad F_1=(-10,0),\qquad F_2=(10,0)\]Really? Hmm I'm getting something more like this,\[\Large\rm d(P,F_1)=\sqrt{(10--10)^2+\left(\frac{32}{3}-0\right)^2}\approx 22.7\]

OpenStudy (babynini):

\[=\sqrt{(10+10)^2+(\frac{ 32 }{ 3 }-0)^2}\] \[\sqrt{400+\frac{ 1024 }{ 9 }}\] Put 400/9 then add them up and apply sq root = 68

OpenStudy (babynini):

I messed up somewhere really bad, yeah? o.o

zepdrix (zepdrix):

\[\Large\rm =\sqrt{400+113.8}=\sqrt{513.8}\approx 22.7\]Still not sure how you're getting 68 :) lol

zepdrix (zepdrix):

Oh oh oh i see what You did, no no no. not 400/9 you have to multiply the top by 9 as well if u want to do it that way. 400 = (400*9)/9 = 3600/9

OpenStudy (babynini):

yeah yeah I thought i did that :o

zepdrix (zepdrix):

that mistake would have given you a number smaller than 22.7 though lol so i'm not sure what's going on ;0

OpenStudy (babynini):

lol me neither. Ah well. moving on then xD

OpenStudy (babynini):

erm so it says put exact interger. but the answer is 22.7 should i round it to 23 do you think?

zepdrix (zepdrix):

Oh it says exact? Ok then uhhh

OpenStudy (babynini):

oh sorry, sorry. it says "exact interger, fraction, or decimal"

OpenStudy (babynini):

so that would be.. 3 numbers after the decimal point? o.0

zepdrix (zepdrix):

\[\Large\rm d=\sqrt{\frac{3600}{9}+\frac{1024}{9}}=\frac{68}{3}\]Is that where the 68 was coming from? 0_o

OpenStudy (babynini):

oh! there it is xD

OpenStudy (babynini):

I completely forgot the 3 lol

zepdrix (zepdrix):

how bout the other distance? :)

OpenStudy (babynini):

would that answer be 22.666? or just two 6's?

OpenStudy (babynini):

the other distance = 10.66?

zepdrix (zepdrix):

68/3 is a better form of the solution. if you want a decimal with three places though, it would be 22.667

zepdrix (zepdrix):

yes, the other distance is 32/3 :)

zepdrix (zepdrix):

or 22.67 for two decimals

OpenStudy (babynini):

ee the feeling of accomplishment haha yay! I'm going to try the fraction form first.

OpenStudy (babynini):

last box!

zepdrix (zepdrix):

\[\Large\rm \frac{68}{3}-\frac{32}{3}=?\]Fractions seem better. Makes this last step easier.

OpenStudy (babynini):

36/3!

OpenStudy (babynini):

:P

zepdrix (zepdrix):

36 over 3 factorial? :o no that can't be right. jk :x hehehe

OpenStudy (babynini):

noooo =.= haha it's 12 then xD

zepdrix (zepdrix):

does 12 fit the form of 2(a)? where a=6?

OpenStudy (babynini):

naaaah

OpenStudy (babynini):

jk, yes

zepdrix (zepdrix):

12 = 2(6) yayyy you did it \c:/ good job!

OpenStudy (babynini):

wait so in that last box I put 12 again?

OpenStudy (babynini):

no..it would be 6 in that box

zepdrix (zepdrix):

ya 6 :O

OpenStudy (babynini):

lol I was like WAIT that doesn't make sense xD yaya *we* did it!! :) ty ty

OpenStudy (babynini):

ook let's see if it's all correct.

OpenStudy (babynini):

yep yep it's all correct :*

zepdrix (zepdrix):

yay \c:/

OpenStudy (babynini):

want to help with another one? though it is quitee extensive

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