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Can someone help me double check these questions?

 Nov 8, 2019
 #1
avatar+105277 
+1

First one......

a^2  =  45

a  = √45

a  =  3√5   

2a   =  length of  major axis  =   6√5

 

b^2  =  27

b  =√27

b =  3√3

2b  =  length of minor axis  = 6√3

 

Good job, Jenny   !!!

 

cool cool cool

 Nov 8, 2019
edited by CPhill  Nov 8, 2019
 #2
avatar+105277 
+1

The tranverse axis contains the two foci and two vertices

 

Thus.....this hyperbola  intersects the x axis

 

So....the form will be

 

(x - h)^2            (y  - k)^2

_______  -       ________   =       1

    a^2                    b^2

 

 

(h, k)  =  (-3, 2)

2a  = 12            2b  = 8

a  =  6                 b  = 4

 

So we have

 

(x  + 3)^2         ( y - 2 )^2

________  -   _________    =      1

    36                   16

 

 

cool cool cool

 Nov 8, 2019

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