Mathematics, 03.10.2019 00:40, kestegag7162
Identify the equations of the asymptotes of the hyperbola (y - 7)2 - 16(x + 1)2 = 64.
Answers: 1
![\bf (y-7)^2-16(x+1)^2=64\implies \cfrac{(y-7)^2}{64}-\cfrac{16(x+1)^2}{64}=1 \\\\\\ \cfrac{(y-7)^2}{64}-\cfrac{(x+1)^2}{4}=1\implies \cfrac{(y-7)^2}{8^2}-\cfrac{(x+1)^2}{2^2}=1 \\\\\\ \cfrac{(y-7)^2}{8^2}-\cfrac{[x-(-1)]^2}{2^2}=1\qquad \begin{cases} k=7\\ h=-1\\ a=8\\ b=2 \end{cases} \\\\\\ y=7\pm\cfrac{8}{2}(x+1)](/tpl/images/0284/7143/948d1.png)
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Identify the equations of the asymptotes of the hyperbola (y - 7)2 - 16(x + 1)2 = 64....
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