Question 875578:  (x-4)^2/49+(y+5)^2/16=1
 
Find the center, the major axis, the minor axis, and the distance from the center to the foci 
 Answer by lwsshak3(11628)      (Show Source): 
You can  put this solution on YOUR website! (x-4)^2/49+(y+5)^2/16=1  
Find the center, the major axis, the minor axis, and the distance from the center to the foci 
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Given equation is that of an ellipse with horizontal major axis. 
Its standard form of equation:  ,a>b, (h,k)=coordinates of center. 
center: (4,-5) 
a^2=49 
a=7 
length of major axis=2a=14 
b^2+16 
b=4 
length of minor axis=2b=8 
c^2=a^2-b^2=49-16=33 
c=√33 
distance from the center to the foci=√33-4≈1.74 
 
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