document.write( "Question 475259: What are the foci of the ellipse 17x2 + 8y2 = 136? show work please \n" ); document.write( "
Algebra.Com's Answer #325877 by lwsshak3(11628)![]() ![]() ![]() You can put this solution on YOUR website! What are the foci of the ellipse 17x2 + 8y2 = 136? show work please \n" ); document.write( "** \n" ); document.write( "17x^2+8y^2=136 \n" ); document.write( "divide by 136 \n" ); document.write( "x^2/8+y^2/17=1 \n" ); document.write( "This is an ellipse with vertical major axis of the standard form: (x-h)^2/b^2+(y-k)^2/a^2=1, a>b \n" ); document.write( "for given equation: \n" ); document.write( "Center:(0,0) \n" ); document.write( "a^2=17 \n" ); document.write( "b^2=8 \n" ); document.write( "c^2=a^2-b^2=17-8=9 \n" ); document.write( "c=√9=3 \n" ); document.write( "Foci: (0,0±c)=(0,0±3)=(0,3) and (0,-3) \n" ); document.write( " |