Find the area of the region enclosed by the graph of $x^2 + y^2 = 2x - 6y + 6$.

Complete the squares to get

which is the equation of a circle centered at (1, -3) with radius 4, and thus with area 16π.

false

step-by-step explanation:

4y - 6 + 4y^2 - 9

before simplifying this contains 4 terms

after simplifying

4y -15 + 4y^2

it contains 3 terms

arrange the equations with like terms in columns.

analyze the coefficients of x or y.

add the equations and solve for the remaining variable.

substitute the value into either equation and solve.

check the solution.

step-by-step explanation: