What is the length of the transverse axis of the hyperbola defined by the equation below?

(x-3)^2 (y+5)^2
________-________=1
4^2 2^2

Question

What is the length of the transverse axis of the hyperbola defined by the equation below?

(x-3)^2   (y+5)^2
________-________=1
    4^2         2^2

anonymous · Answer

-6 would be the legnth?

anonymous · Answer

so the legnth of the tranverse axis would be 8? could you explain that   a little bit more

dan815 · Answer

basically u look at the value the x part is divided by

dan815 · Answer

Given the equation of the hyperbola:

[ (y - 36) / (36) ] - [ ( x + 25 ) / (144) ] = 1

Transverse axis is vertical

where a = 6, b = 12

Length of the conjugate axis: 2b = 2(12) = 24

Length of the transverse axis: 2a = 2(6) = 12 -------> ANSWER

dan815 · Answer

like that

anonymous · Answer

got it!

dan815 · Answer

so ur answer is 4

dan815 · Answer

wait i dont know!!, what is the transverse axis

dan815 · Answer

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anonymous · Answer

wait so what you showed me is how to get the legnth ? not the transverse axil? :/