We know that
the equation of a circle is
(x-h+(y-k)²=r²
where (k,k)----> is the center
and
r----> is the radius
y²+2x+x²-24y= -120
Group
terms that contain the same variable
(y²-24y)+(x²+2x)=-120
Complete
the square twice. Remember to balance the equation by adding the same constants
to each side
(y²-24y+144)+(x²+2x+1)=-120+144+1
<span>Rewrite as perfect squares</span>
(y-12)²+(x+1)²=25
(x+1)²+(y-12)²=5²
the answer isthe coordinates of the center are (-1,12)the radius is 5 units
Answer:
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have a good day :)
Step-by-step explanation:
The sum of an infiinte series exists when the ratio is in the interval (-1,1)
Here the ratio is 1/3, then the sum exists.
The formula for this sum is A / (1 -r); where A is the first term and r is the ratio
Then, the sum is [1/3] / [1 -1/3] = [1/3] / [2/3] = 1/2
Answer: 1/2
42 divided by 40 = 1.05 = 105%. Hope I helped!
