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3 years ago

11

How do you solve for the central area of a polygon?

1 answer:

ycow [4]3 years ago

5 0

Getting the central area of a polygon is not possible. Probably the question refers to the central angle. In a a regular polygon, getting the central angle is that you need to use the formula.

Central Angle of a polygon = 360 degrees / number of sides of a polygon.
Why 360 degrees? Because, a circle has a total of 360 degrees. And a circle is a polygon with no sides.

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What are the coordinates of the vertex for f(x) = 3x2 + 6x + 3? (−1, 0) (3, 6) (0, −1) (6, 3)

larisa [96]

Answer:

The vertex is the point $(-1,0)$

Step-by-step explanation:

we have

$f(x)=3x^{2} +6x+3$

we know ow that

The equation of a vertical parabola into vertex form is equal to

$y=a(x-h)^{2}+k$

where

(h,k) is the vertex of the parabola

Convert the equation into vertex form

Group terms that contain the same variable, and move the constant to the opposite side of the equation

$f(x)-3=3x^{2} +6x$

Factor the leading coefficient

$f(x)-3=3(x^{2} +2x)$

Complete the square. Remember to balance the equation by adding the same constants to each side

$f(x)-3+3=3(x^{2} +2x+1)$

$f(x)=3(x^{2} +2x+1)$

Rewrite as perfect squares

$f(x)=3(x+1)^{2}$

therefore

the vertex is the point $(-1,0)$

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