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toxicsugar22
 5 years ago
give the exact coordinates of any four points on the hyperbola
(y+2)^2/6(x+2)^2/10=1
toxicsugar22
 5 years ago
give the exact coordinates of any four points on the hyperbola (y+2)^2/6(x+2)^2/10=1

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anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0That's pretty easy. Just choose any 4 points for x, and find the corresponding values of y. I'll do one for you. Let's take x=2, plug in the equation and solve for x to get: \((y+2)^2/60=1\), which implies that \((y+2)^2=6\). Taking the square root of both sides gives \(y+2=\sqrt{6}\), and therefore \(y=\sqrt62 \). So, a point on the given hyperbola is \((2,\sqrt62)\).

toxicsugar22
 5 years ago
Best ResponseYou've already chosen the best response.0how about another point

toxicsugar22
 5 years ago
Best ResponseYou've already chosen the best response.0how abut another point for x

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0Show me what you can do with \(x=8\).

toxicsugar22
 5 years ago
Best ResponseYou've already chosen the best response.0(y+2)^2/6(8+2)^2/10=1

toxicsugar22
 5 years ago
Best ResponseYou've already chosen the best response.0and then show me by step by step

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0\[{(y+2)^2 \over 6}{(8+2)^2 \over 10}=1 \implies {(y+2)^2 \over 6}{100 \over 10}=1 \implies {(y+2)^2 \over 6}10=1\] Now take 10 to the other side and then multiply both sides by 6. After that, take the square root and then subtract 2 from both sides. Please TRY :)

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0*Take 10 to the other side with a positive sign*

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0I wrote all steps you need in my last comment; now multiply both sides by 6.

toxicsugar22
 5 years ago
Best ResponseYou've already chosen the best response.0is that rigtht so far

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0Not quite. It should be, after multiplying by 6: \((y+2)^2=66\).

toxicsugar22
 5 years ago
Best ResponseYou've already chosen the best response.0so now it will be (y+2)^2=8.1240

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0Yeah, but this is not "exact". You should write it as \((y+2)^2=\sqrt{66}\).

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0Sorry I meant \(y+2=\sqrt{66}\). Now take 2 to the other side with a minus sign, and you're done :D

toxicsugar22
 5 years ago
Best ResponseYou've already chosen the best response.0ok and how about lets try 3 for x

toxicsugar22
 5 years ago
Best ResponseYou've already chosen the best response.0can uwe do an easier number

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0Go for i!! I am sure you can do it. You will get \(y=\sqrt{21}2\). I have to go now :(
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