document.write( "Question 580267: What are the foci of the eqation (x+4)^2/9 + (y-2)^2/1 = 1 \n" ); document.write( "
Algebra.Com's Answer #371285 by lwsshak3(11628)![]() ![]() ![]() You can put this solution on YOUR website! What are the foci of the equation \n" ); document.write( "(x+4)^2/9 + (y-2)^2/1 = 1 \n" ); document.write( "This is an equation of an ellipse with horizontal axis of the standard form: \n" ); document.write( "(x-h)^2/a^2+(y-k)^2/b^2=1, a>b, (h,k) being the (x,y) coordinates of the center. \n" ); document.write( ".. \n" ); document.write( "For given equation: \n" ); document.write( "center: (-4,2) \n" ); document.write( "a^2=9 \n" ); document.write( "b^2=1 \n" ); document.write( "c^2=a^2-b^2=9-1=8 \n" ); document.write( "c=√8 \n" ); document.write( "Foci=(-4±c,2)=(-4±√8,2)=(-4±2.83,2)=(-6.83,2) and (-1.17,2)\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |