document.write( "Question 391376: A hyperbola has vertices (8,0)and (-8,0)Its foci are located at (√(89),0) and(-√(89),0) identify the equation of this hyperbola. I honestly have no Idea how to solve this please help.Thanks in advance. :) \n" ); document.write( "

Algebra.Com's Answer #277678 by ewatrrr(24785) $\"\"$ $\"About$

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document.write( "Hi,         
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document.write( "vertices on the x-axis: (8,0)and (-8,0) Hyperbola opens right and left.\r
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document.write( "Standard Form of an Equation of an Hyperbola is   
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document.write( "where Pt(h,k) is a center  with vertices 'a' units right and left of center
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document.write( "and asymptotes that pass thru the center with slope = ą b/a
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document.write( "In this example: center is (0,0) with a = 8
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document.write( " x^2/8^2 - y^2/b^2 = 1
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document.write( "foci (c,0) and (-c,0) are (sqrt(89), 0),-sqrt(89), 0 }}}
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document.write( " c, the distance from the center to the foci
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document.write( "  c^ = a^2 + b^2
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document.write( "  = 8^2 + b^2
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document.write( "         89 = 64 + b^2
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document.write( "         25 = b^2
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document.write( "         b = ą 5  
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document.write( " x^2/8^2 - y^2/5^2 = 1
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