Find the equation of a parabola with vertex on the y-axis if points P(x1, 0) and R(3, 9) belong the parabola, the area of △PQR is 40.5sq. units, and point Q has coordinates (3, 0).

1.961x^2 - 8.647.

Step-by-step explanation:

I'm assuming the area of the triangle is 4.05 unit^2.

RQ is perpendicular to the x-axis.

The length of RQ = 9 so the area of the triangle

= 1/2 *9 * PQ = 4.05

PQ = 4.05 / 4.5 = 0.9.

So the value of x1 = 3 - 0.9 = 2.2.

The vertex is on the y-axis so the equation will be of the form ax^2 + c = 0.

So, as P (2.1, 0) and  R(3, 9) are points on the parabola we have the system:

(2.1)^2a  + c = 0

(3)^2a + c = 9

4.41 a + c = 0

9a + c = 9     Subtract:

4.59a = 9

a = 1.961

and c = -4.41* 1.961 = - 8.647,

all but the second one

step-by-step explanation:

cuz that one goes over 180

mark brainliest

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: