Mathematics, 26.07.2019 02:40 dylanjones6996
Find an equation in standard form for the hyperbola with vertices at (0, ±6) and asymptotes at y = ± 3/4x
Answers: 1
![\bf \textit{hyperbolas, vertical traverse axis } \\\\ \cfrac{(y- k)^2}{ a^2}-\cfrac{(x- h)^2}{ b^2}=1 \qquad \begin{cases} center\ ( h, k)\\ vertices\ ( h, k\pm a)\\ c=\textit{distance from}\\ \qquad \textit{center to foci}\\ \qquad \sqrt{ a ^2 + b ^2}\\ asymptotes\quad y= k\pm \cfrac{a}{b}(x- h) \end{cases} \\\\[-0.35em] \rule{34em}{0.25pt}](/tpl/images/0133/3802/fb032.png)
![\bf \begin{cases} a=6\\ h=0\\ k=0\\ \stackrel{asymptotes}{y=\pm\frac{3}{4}x} \end{cases}\implies \stackrel{\textit{using the positive asymptote}}{0+\cfrac{6}{b}(x-0)=\cfrac{3}{4}x}\implies \cfrac{6x}{b}=\cfrac{3x}{4}\implies 24x=3xb \\\\\\ \cfrac{24x}{3x}=b\implies 8=b \\\\[-0.35em] ~\dotfill\\\\ \cfrac{(y- 0)^2}{ 6^2}-\cfrac{(x- 0)^2}{ 8^2}=1\implies \cfrac{y^2}{36}-\cfrac{x^2}{64}=1](/tpl/images/0133/3802/c8d26.png)
Another question on Mathematics
Mathematics, 21.06.2019 14:30
Ican figure out 20 shares multiply by $117.98 =2359.6920 shares multiply by $124.32=2486.40then take 40 shares multiply by $128.48=5139.20after that i'm lost any be greatly appreciated.
Answers: 1
Mathematics, 21.06.2019 20:00
Aconstruction worker has rope 9 m long he needs to cut it in pieces that are each 3 /5 m long how many such pieces can he cut without having any rope leftover?
Answers: 3
Mathematics, 21.06.2019 21:50
Which of the following equations is equivalent to x/3-6/x=1
Answers: 3
You know the right answer?
Find an equation in standard form for the hyperbola with vertices at (0, ±6) and asymptotes at y = ±...
Questions
Mathematics, 24.05.2021 22:40
English, 24.05.2021 22:40
History, 24.05.2021 22:40
Mathematics, 24.05.2021 22:40
English, 24.05.2021 22:40
History, 24.05.2021 22:40
Business, 24.05.2021 22:40
Mathematics, 24.05.2021 22:40
