Put the equation given in the form

The center will be (-f, -g)
11 by 16
Explanation:
Set up two equations
2
x
+
2
y
=
54
x
×
y
=
176
Solving the first equation for x
2
x
+
2
y
−
2
y
=
54
−
2
y
this gives
2
x
=
54
−
2
y
Divide both sides by 2
(
2
x
2
)
=
54
−
2
y
2
This gives.
x
=
27
−
y
putting this value into the second equation gives.
(
27
−
y
)
×
y
=
176
multiplying across the parenthesis gives
27
y
−
y
2
=
176
subtracting 176 from both sides gives
is
27
y
−
y
2
−
176
=
0
multiplying by negative one gives
−
27
y
+
y
2
+
176
=
0
factoring this into y gives
(
y
−
11
)
×
(
y
−
16
)
=
0
Solving for both y's gives
y
=
11
,
y
=
16
See attached photo for answer.
Answer:
x=-5, x=1
Step-by-step explanation:
y=x-8/x^2+4x-5

When denominator becomes 0 in a rational function then there will be a break in the graph
To find any points of discontinuity for the rational function
, we set the denominator =0 and solve for x
x^2 + 4x -5 =0
Now we factor x^2 +4x -5
product is -5 and sum = 4
5 * (-1) = -5
5 +(-1) = 4
(x+5)(x-1) =0
set each factor =0 and solve for x
x+5=0 , so x= -5
x-1=0 , so x= 1
x=-5, x=1 are the points of discontinuity for the rational function
The n-th term is given by

Then we can find the common ratio from the given terms.

The appropriate choice is -1.