document.write( "Question 975226: For the following ellipse: \r
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document.write( " (x + 2)2 + (y + 2)2 = 1
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document.write( " 4 25\r
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document.write( "Find: a)Center :___________\r
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document.write( " b)Vertices:___________
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document.write( " ___________\r
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document.write( " c) Foci: ___________\r
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document.write( " ___________\r
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document.write( " d) length of
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document.write( " major axis:________\r
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document.write( " e) length of
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document.write( " minor axis:________\r
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document.write( " f) eccentricity:________
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Algebra.Com's Answer #597022 by Boreal(15235)![]() ![]() You can put this solution on YOUR website! Center is (-2,-2) You change the sign of each. \n" ); document.write( "The vertices are along the y-axis, since that is how the ellipse is oriented with regard to the major axis. They are sqrt (25) or 5. They are at (-2,-7) and (-2,+3) \n" ); document.write( "The major axis is 10 units long; the minor axis is 4 units long. It is the square root of the denominator multiplied by 2.\r \n" ); document.write( "\n" ); document.write( "a^2-c^2=b^2 \n" ); document.write( "25-21=4 \n" ); document.write( "c^2=21;; c= sqrt(21) ; The foci are sqrt(21) from the center, along the y-axis, so they are at (-2, -2+sqrt(21) and (-2, -2- sqrt(21))\r \n" ); document.write( "\n" ); document.write( "eccentricity is c/a, and that is sqrt (21)/5 \n" ); document.write( " |