document.write( "Question 475404: What point is the intersection of the graphs of y = 3x, x^2 + 4y^2 = 37, and y^2 - x^2 = 8 ?
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Algebra.Com's Answer #326014 by ewatrrr(24785) $\"\"$ $\"About$

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document.write( "Hi,
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document.write( "What point is the intersection of the graphs: 
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document.write( "x^2 + 4y^2 = 37   
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document.write( "x^2/37 + y^2/9.25 = 1 Ellipse C(0,0) and radius = 5  (See below)
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document.write( "y^2 - x^2 = 8 
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document.write( "y^2/8 - x^2/8 = 1 Hyperbola opening up and down (See below)
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document.write( "y = 3x        Line:  Pt(0,0) and Pt(1,3) on the Line
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document.write( "algebraically:  substituting 3x for y
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document.write( "x^2 + 36x^2 = 37  x = ą 1 and y = ą 3
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document.write( "Graphs: ellipse, hyperbola and Line intersect at:(1,3) and (-1,-3)
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document.write( "Standard Form of an Equation of a Circle is  
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document.write( "where Pt(h,k) is the center and r is the radius\r
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document.write( " Standard Form of an Equation of an Ellipse is 
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document.write( "where Pt(h,k) is the center and a and b  are the respective vertices distances from center.\r
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document.write( "Standard Form of an Equation of an Hyperbola opening right and  left 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( "Standard Form of an Equation of an Hyperbola opening up and down is:
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document.write( "   where Pt(h,k) is a center  with vertices 'b' units up and down from center.\r
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document.write( "The vertex form of a parabola opening up or down,  where(h,k) is the vertex.
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document.write( "The standard form is , where  the focus is (h,k + p)\r
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document.write( "The vertex form of a parabola opening right or left,  where(h,k) is the vertex.
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document.write( "The standard form is , where  the focus is (h +p,k )
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