SOLUTION: Which hyperbolas have one vertex in common with the hyperbola (y-4)^2/7^2-(x+6)^2/8^2=1? a. (y-8)^2/5^2-(x+6)^2/6^2=1 b. (x-1)^2/8^2-(y-11)^2/7^2=1 c. (x+15)^2/9^2-(y+3)^2/5

Question 1180216: Which hyperbolas have one vertex in common with the hyperbola
(y-4)^2/7^2-(x+6)^2/8^2=1?
a. (y-8)^2/5^2-(x+6)^2/6^2=1
b. (x-1)^2/8^2-(y-11)^2/7^2=1
c. (x+15)^2/9^2-(y+3)^2/5^2=1
d. (y-6)^2/6^2-(x+6)^2/4^2=1
e. (y-23)^2/12^2-(x+6)^2/8^2=1

Answer by MathLover1(20850) (Show Source): You can put this solution on YOUR website!
Which hyperbolas have one vertex in common with the hyperbola

Up-down hyperbola with center (, )= (, ), ,
The vertices:
(, ), (, )
=>(, ), (, )
=>(, ), (, )

a.

center (, )= (, ), ,
The vertices:
(, ), (, )
=>(, ), (, )
=>(, ), (, )

b.

Right-left hyperbola with (, )= (, ), ,
The vertices
(, ), (, )
=>(, ), (, )
=>(, ), (, )

c.

Right-left hyperbola with (, )= (, ), ,
The vertices
(, ), (, )
=>(, ), (, )
=>(, ), (, )

d.

Up-down hyperbola with center (, )= (, ), ,
The vertices:
(, ), (, )
=>(, ), (, )
=>(, ), (, )

e.

Up-down hyperbola with center (, )= (, ), ,
The vertices:
(, ), (, )
=>(, ), (, )
=>(, ), (, )

hyperbolas which have one vertex in common with the given hyperbola:
c has =>(, )
e has =>(, )

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