*30 points*
What is the equation of the circle in general
form?
x2 + y2 + 2x + 8y + 9 = 0
X2 + y2 – 2x– 8y + 9 = 0
X2 + y2 – 2x – 8y – 47 = 0
X2 + y2 + 2x + 8y – 47 = 0

x^2 + y^2 -2x -8y -47 =0

Step-by-step explanation:

The center is at (1,4) and the radius is  8 units

We can write the equation as

(x-h)^2 + (y-k)^2 = r^2

where (h,k) is the center and r is the radius

(x-1)^2 + (y-4)^2 = 8^2

Foil

x^2 -2x+1 + y^2 -8y +16 = 64

x^2 + y^2 -2x -8y +17 =64

Subtract 64 from each side

x^2 + y^2 -2x -8y +17-64 =64-64

x^2 + y^2 -2x -8y -47 =0

Third one:

x² + y² - 2x - 8y - 47 = 0

Step-by-step explanation:

Equation of circle:

(x - h)² + (y - k)² = r²

(x - 1)² + (y - 4)² = 8²

(x - 1)² + (y - 4)² = 64

x² - 2x + 1 + y² - 8y + 16 - 64 = 0

x² + y² - 2x - 8y - 47 = 0

the central idea is that:

individuals should refuse to cooperate with institutions they believe unjust.

thoreau felt  that governments were more often agents of corruption than justice, even democracies, and that just because the majority feels a certain way does not make it just or correct in absolute terms. he uses the fact that slavery exists in our democracy to support this idea.

he goes on to say that, as a result, people should live true to their own internal laws regarding right and wrong, as a product of reflection and a moral life, rather than following every law that society imposes. 

step-by-step explanation: