The concentric circles are
and
and
and
and
Step-by-step explanation:
we know that
The equation of the circle in standard form is equal to
where
(h,k) is the center and r is the radius
Remember that
Concentric circles, are circles that have the same center
so
Convert each equation in standard form and then compare the centers
The complete answer in the attached document
Part 1) we have
Group terms that contain the same variable, and move the constant to the opposite side of the equation
Factor the leading coefficient of each expression
Complete the square twice. Remember to balance the equation by adding the same constants to each side.
Rewrite as perfect squares
therefore
The center is the point (-2,1)
Part 2) we have
Group terms that contain the same variable, and move the constant to the opposite side of the equation
Factor the leading coefficient of each expression
Complete the square twice. Remember to balance the equation by adding the same constants to each side.
Rewrite as perfect squares
therefore
The center is the point (3,-2)
Part 3) we have
Group terms that contain the same variable, and move the constant to the opposite side of the equation
Complete the square twice. Remember to balance the equation by adding the same constants to each side.
Rewrite as perfect squares
therefore
The center is the point (6,4)
Part 4) we have
Group terms that contain the same variable, and move the constant to the opposite side of the equation
Factor the leading coefficient of each expression
Complete the square twice. Remember to balance the equation by adding the same constants to each side.
Rewrite as perfect squares
therefore
The center is the point (2,-3)
Part 5) we have
Group terms that contain the same variable, and move the constant to the opposite side of the equation
Complete the square twice. Remember to balance the equation by adding the same constants to each side.
Rewrite as perfect squares
therefore
The center is the point (1,-4)
Part 6) we have
Group terms that contain the same variable, and move the constant to the opposite side of the equation
Factor the leading coefficient of each expression
Complete the square twice. Remember to balance the equation by adding the same constants to each side.
Rewrite as perfect squares
therefore
The center is the point (1,-4)
Part 7) we have
Group terms that contain the same variable, and move the constant to the opposite side of the equation
Factor the leading coefficient of each expression
Complete the square twice. Remember to balance the equation by adding the same constants to each side.
Rewrite as perfect squares
therefore
The center is the point (-2,1)
Part 8) Part 9) and Part 10) in the attached document