Find the circle through (-4,sqrt(5) with center (0,0)

Circle Equation : x² + y² = 21

Step-by-step explanation:

So we know that this circle goes through the point ( - 4, √5 ), with a center being the origin. Therefore, this makes the circle equation a bit simpler.

The first step in determining the circle equation is the length of the radius. Applying the distance formula, the radius would be the length between the given points. Another approach would be creating a right triangle such that the radius is the hypotenuse. Knowing the length of the legs as √5 and 4, we can calculate the radius,

( √5 )² + ( 4 )² = r²,

5 + 16 = r²,

r = √21

In general, a circle equation is represented by the formula ( x - a )² + ( y - b )² = r², with radius r centered at point ( a, b ). Therefore our circle equation will be represented by the following -

( x - 0 )² + ( y - 0 )² = (√21 )²

Circle Equation : x² + y² = 21

A government wouldn't be legitimate if there is no consent of the governed and it can only be achieved through majority rule.

To have legitimacy in a government means that the government must have the majority of acceptance of authority from its citizens. Without this basic condition, a government collapses.

Democracy is an example of this because the government is legitimated from consent by the majority of the citizens.

In addition, there are four types of legitimate government: Communism, Constitutionalism, Democracy, Monarchy, and Fascism.