lulubj
  • lulubj
which expression gives the length of the transverse axis of the hyperbola shown below? 2(a+b) a-b a+b 2(a-b)
Mathematics
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lulubj
  • lulubj
which expression gives the length of the transverse axis of the hyperbola shown below? 2(a+b) a-b a+b 2(a-b)
Mathematics
chestercat
  • chestercat
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lulubj
  • lulubj
http://media.apexlearning.com/Images/201011/29/a6168e78-d43e-403f-9410-ed838f3d0b3a.gif
lulubj
  • lulubj
jdoe0001
  • jdoe0001
well... the traverse axis means, the line from vertex to vertex thus |dw:1435709894711:dw|

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jdoe0001
  • jdoe0001
if we were to slide the point intersecting "a" and "b", over the curve, it'd end up; like |dw:1435710165798:dw|
jdoe0001
  • jdoe0001
so in the end the line would end up as |dw:1435710275849:dw|
lulubj
  • lulubj
this is very helpful thanks
jdoe0001
  • jdoe0001
thus we could say that
jdoe0001
  • jdoe0001
|dw:1435710410356:dw| so... what do you think is the traverse axis, or "that line"?
anonymous
  • anonymous
so confusing
jdoe0001
  • jdoe0001
hehe
anonymous
  • anonymous
lol
lulubj
  • lulubj
yeah a little lol
jdoe0001
  • jdoe0001
|dw:1435710478069:dw| |dw:1435710530601:dw|
jdoe0001
  • jdoe0001
thus a-b = traverse axis
lulubj
  • lulubj
so it would be B?
jdoe0001
  • jdoe0001
|dw:1435710708867:dw|
lulubj
  • lulubj
oo i got it thanks!
lulubj
  • lulubj
its a-b
jdoe0001
  • jdoe0001
once we slide the dot down the curve to the horizontal line "a" length is from the left focus over to the curve and "b" length is from the curve, to the right focus the distance from the focus to the curve is "b" if you subtract "b" amount from "a" all that's left is from curve to curve, or the traverse line :)

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