Find the equation of the parabola that passes through the points:
(0,5) (1,7) (-2,19)

y= 3x^2 - x+5

Step-by-step explanation:

hope that helps

Step-by-step explanation:

The general form of a parabola is

Now, we have three points, where each of them gives values for (x,y). We can use them to create a system of three equations with three unknown variables

Then, we replace the value of in the second and third equation to find create an equation with only two variables

Then, we multiply the first equation by 2, and sum both equations

Finally, we use this value to find

Therefore, the equation of the parabola is

step-by-step explanation:

there is a formula i can give you:

it is r^2*n*sin(360/n) divided by 2 where r represents the "radius" and n is the number of sides.

plug them in:

(10sqrt(3))^2*6*sin(360/6) divided by 2

100*3*6*sin(60) divided by 2

900*sin(60)

900*sqrt(3)/2

450*sqrt(3)

approx is 779.4 cm^2