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Mathematics 18 Online
OpenStudy (darkbluechocobo):

Help with Hyperbolas

OpenStudy (darkbluechocobo):

For the following equation, find the foci of the hyperbola: \[\frac{ (x-1)^2 }{ 9 }-\frac{ (y-5)^2 }{ 25 }=1\]

OpenStudy (darkbluechocobo):

c=sqrt(9^2+25^2)

OpenStudy (anonymous):

Here are some my handy notes for this

OpenStudy (darkbluechocobo):

welp I got c =sqrt704 or aproximately 26.6

OpenStudy (anonymous):

hold on let me work this out because my class never decimals for an answer while we did this

OpenStudy (anonymous):

never got*

OpenStudy (anonymous):

a^2=9 b^2=25 c^2=a^2+b^2 c^2=9+25 c^2=34 c=\[\sqrt{34}\]

OpenStudy (darkbluechocobo):

Ohh I forgot to square s:

OpenStudy (anonymous):

\[foci =(\sqrt{34},0)\]

OpenStudy (anonymous):

is that an answer choice?

OpenStudy (darkbluechocobo):

(1+sqrt34,5), (1-sqrt34,5 (1,5 + sqrt34), (1,5 - sqrt34) (-3, 5), (5, 5) (5, 5), (-4, 5)

OpenStudy (darkbluechocobo):

(h,k +c), (h,k -c) i believe is what we use for foci so i believe it is B

OpenStudy (anonymous):

hmmm

OpenStudy (anonymous):

I would have to go with be as well

OpenStudy (anonymous):

B i mean answer choice B

OpenStudy (darkbluechocobo):

Thank you :D

OpenStudy (anonymous):

No problem good to see to you on here again Chocobo!

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