Discover a wealth of knowledge at Westonci.ca, where experts provide answers to your most pressing questions. Connect with a community of experts ready to provide precise solutions to your questions quickly and accurately. Explore comprehensive solutions to your questions from knowledgeable professionals across various fields on our platform.

D33
What is the length of th emajor ais of the ellipse whose equation is 10x² + 20y² =200?
A. 3.16
B. 4.47
C. 6.32
D. 8.94
E. 14.14


Sagot :

10x² + 20y² =200 / ÷ 200 ;
x^2 / 20 + y^2 / 10 = 1 ;
x^2 / [tex] ( \sqrt{20} )^{2} [/tex] + y^2 / [tex] ( \sqrt{10} )^{2} [/tex] = 1 ; 
b = [tex] \sqrt{20} [/tex] ; a = [tex] \sqrt{10} [/tex] ;
Major axis is 2a = 2[tex] \sqrt{10} [/tex] ;