Mathematics
25 Online
OpenStudy (anonymous):
question in comments
Join the QuestionCove community and study together with friends!
Sign Up
OpenStudy (anonymous):
OpenStudy (misty1212):
\[y^2-4x^2+8x-20=0\] right?>
OpenStudy (anonymous):
yeah
OpenStudy (misty1212):
you want the length of the major axis?
OpenStudy (anonymous):
yes please
Join the QuestionCove community and study together with friends!
Sign Up
OpenStudy (misty1212):
i think it is 8
lets see if we can work it out
OpenStudy (anonymous):
ok thank you so much!
OpenStudy (misty1212):
no i messed that way up let me start again
OpenStudy (misty1212):
\[y^2-4x^2+8x=20\]
\[y^2-4(x^2-2x)=20\]
\[y^2-4(x-1)^2=20+4\]
OpenStudy (misty1212):
damn anohter mess up
Join the QuestionCove community and study together with friends!
Sign Up
OpenStudy (xapproachesinfinity):
hmm let's me give it a try lol
OpenStudy (misty1212):
\[y^2-4(x-1)^2=20-4=16\]thats better
OpenStudy (xapproachesinfinity):
eh good :)
OpenStudy (misty1212):
divide by \(16\) get \[\frac{y^2}{16}-\frac{(x-1)^2}{4}=1\]
OpenStudy (anonymous):
thats is exactly what i got when i did it !
Join the QuestionCove community and study together with friends!
Sign Up
OpenStudy (anonymous):
i just don't know how to solve for the major axis
OpenStudy (misty1212):
lol that is what i would have got it if wasn't so slow
OpenStudy (misty1212):
now we know center is \((1,0)\) right?
OpenStudy (xapproachesinfinity):
the the length of major axis then is 4
OpenStudy (misty1212):
and the vertices are 4 units up and down
Join the QuestionCove community and study together with friends!
Sign Up
OpenStudy (misty1212):
so length of major axis is 8 i believe, not 4
OpenStudy (xapproachesinfinity):
oh yeah 2times 4
mistake on my part
OpenStudy (misty1212):
\[\frac{y^2}{4^2}-\frac{(x-1)^2}{2^2}=1\] vertices are at \((1,-4)\) and \((1,4)\)
OpenStudy (anonymous):
THANK YOU SO SO SO MUCH! THIS REALLY HELPED!