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Adapt the given equation to match the standard equation of a circle.
Adapt the given equation to match the standard equation of a circle.
Center: (-5, 0)
Radius: sqrt(10)
Center: (3, 1)
Radius: sqrt(15)
Like in Part A, let's start by recalling the standard equation of a circle.
a=- (- a)
Identity Property of Addition
a = ( sqrt(a) )^2
The center of the circle is the point ( -5, 0), and its radius is sqrt(10).
Like in Part A. let's start by recalling the standard equation of a circle.
Commutative Property of Addition
Write as a power
a^2-2ab+b^2=(a-b)^2
LHS+15=RHS+15
a = ( sqrt(a) )^2
The center of the circle is the point ( 3, 1), and its radius is sqrt(15).