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center (5,3), horizontal major axis of length 20, minor axis of length 16. what is the standard equation?

 Jan 20, 2021
 #1
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We  have the form

 

(x - h)^2           (y - k)^2

______   +     ________   =  1

  a^2                  b^2

 

a  =(1/2) length  of major axis  =   (1/2)(20)  = 10........a^2  = 100

b = (1/2) length of  mi,or axis =     (1/2) ( 16)  = 8  .....b^2   =64

(5,3)  =( h, k)

 

So we have

 

(x   -5)^2            (y - 3)^2

_______    +     ________   =  1

   100                     64

 

 

cool cool cool

 Jan 20, 2021

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