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dexar [7]
3 years ago
13

Help with this please. I’d appreciate if you showed the steps and the answer. Thanks!

Mathematics
1 answer:
olga55 [171]3 years ago
5 0
17^2 because the equation for it is a^2+b^2=c^2 so the longest side (x) is the c so 10 i put as a and 7 i put as b. it will always be squared for pythagorean theorem so the equation will look like 10^2+7^2=17^2 and if it isn’t squared all you have to do is undo the squaring
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\bf \cfrac{(x-5)^2}{144}-\cfrac{(y-4)^2}{81}=1\implies \cfrac{(x-5)^2}{12^2}-\cfrac{(y-4)^2}{9^2}=1 \\\\\\ \begin{cases} h=5\\ k=4\\ a=12\\ b=9 \end{cases}\implies c=\sqrt{144+81}\implies c=\sqrt{225}\implies c=15 \\\\\\ \stackrel{center}{(5,4)}\qquad \qquad \stackrel{\textit{because is a horizontal traverse hyperbola}}{\stackrel{foci}{\stackrel{(5\pm 15,4)}{(20,4),(-10,4)}}\qquad \qquad \stackrel{vertices}{\stackrel{(5\pm 12,4)}{(17,4),(-7,4)}}}

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