Answer:
a)
The vertices are
.
The foci are
.
The asymptotes are
.
b) The length of the transverse axis is 6.
c) See below.
Step-by-step explanation:
is the standard equation for a right-left facing hyperbola with center
.
a)
The vertices
are the two bending points of the hyperbola with center
and semi-axis a, b.
Therefore,
, is a right-left Hyperbola with
and vertices
.
For a right-left facing hyperbola, the Foci (focus points) are defined as
where
is the distance from the center
to a focus.
Therefore,
, is a right-left Hyperbola with
and foci 
The asymptotes are the lines the hyperbola tends to at
. For right-left hyperbola the asymptotes are: 
Therefore,
, is a right-left Hyperbola with
and asymptotes

b) The length of the transverse axis is given by
. Therefore, the lenght is 6.
c) See below.
Answer:
Option 2: (x-4)^2 + (x-5)^2 = 4
Step-by-step explanation:
The given circle's center is: (4,5)
And the radius is 4 units.
We are told in the question that the center will remain same only the radius will be changed.
The center is denoted by (h,k) = (4,5) and radius is 2
Standard equation of circle is:
(x-h)^2 + (y-k)^2 = r^2
So the equation of another circle with same center and radius of 2 units will be:
(x-4)^2 + (x-5)^2 = 2^2
(x-4)^2 + (x-5)^2 = 4
Hence option 2 is correct ..
50 because 100 if you break it then its 50
Answer:
the answer is 55%
Step-by-step explanation:because 1,100 is 55% of 2,000
HOPE THIS HELPS:)