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giany
03.02.2020 •
Mathematics
Given the equation of a circle, determine the center and the radius.〖(x+5)〗2+〖(y-1)〗2=9.
the equation of a circle is (x-h)2 +(y-k)2 = r2
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Ответ:
The center is (-5,1)
and
the radius is 3
Step-by-step explanation:
The given equation of the circle is
We can rewrite this equation in the form;
This implies that;
When we compare, we get;
(h,k)=(-5,1) which is the center and r=3 the radius.
Ответ:
The answer is:
The center of the circle is located on the point (-5,1) and the radius is equal to 3 units.
Why?To determine the center and the radius of a circle from its equation, we need to look for "h" and "k", being "h" the x-coordinate of the center and "k" the y-coordinate the center, then, calculate the radius.
Since we are given the ordinary equation of the circle, we can find the radius and the center directly.
The ordinary equation is:
Where,
h is the x-coordinate of the center
y is the y-coordinate of the center
r is the radius.
So, we are given the circle:
Which is also equal to:
Where,
Hence, the center of the circle is located on the point (-5,1) and the radius is equal to 3 units.
Have a nice day!
Ответ:
A
Step-by-step explanation:
A. Connect A and D with a straightedge.