Assume the ball passes through the points (3,8), (5,20/3), and (6,5) . use this data to set up a system of three equations and three unknowns (a, b, and c) that will allow you to find the equation of the parabola. write the system in the space provided.

To solve this question:

Doing this, we get that the system is, with the 3 equations:

Equation of a parabola:

A parabola is a second degree polynomial, having an standard equation of:

Point (3,8)

This means that when . So

Thus, is the first equation.

(5,20/3)

This means that when . Thus

Thus, is the second equation.

(6,5)

This means that when . Thus

Thus, is the third equation.

After all, the system of equations is:

A similar question is found at link

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

120 seems like the most sensible answer.

step-by-step explanation:

if there is only one topping on all caramel apples and there's 120 of them. then all apples should/will be covered in sprinkles. make sense?