I assume that the parabola in this particular problem is one whose axis of symmetry is parallel to the y axis. The formula we're going to use in this case is (x-h)2=4p(y-k). We know variables h and k from the vertex (1,20) but p is not given. However, we can solve for p by substituting values x and y in the formula with the y-intercept:

(0-1)^2=4p(16-20)

Solving for p, p=-1/16.

Going back to the formula, we can finally solve for the x-intercepts. Simply fill in variables p, h and k then set y to zero:

(x-1)^2=4(-1/16)(0-20)
(x-1)^2=5
x-1=(+-)sqrt(5)
x=(+-)sqrt(5)+1

Here, we have two values of x

x=sqrt(5)+1 and
x=-sqrt(5)+1

thus, the answers are: (sqrt(5)+1,0) and (-sqrt(5)+1,0).

5 0

3 years ago

What is the measure of one angle of a regular convex 20-gon

Contact [7]

Answer:

The measure of one angle of a regular convex 20-gon is 162°

Step-by-step explanation:

* Lets explain how to solve the problem

- A convex polygon is a polygon with all the measures of its interior

angles less than 180°

- In any polygon the number of its angles equal the number of its sides

- A regular polygon is a polygon that is all angles are equal in measure

and all sides are equal in length

- The rule of the measure of an angle of a regular polygon is

$m=\frac{(n-2)180}{n}$ , where m is the measure of each interior

angle in the polygon and n is the numbers of the sides or the angles

of the polygon

* Lets solve the problem

- The polygon is convex polygon of 20 sides (20 angles)

- The polygon is regular polygon

∵ The number of the sides of the polygon is 20 sides

∴ n = 20

∵ The polygon is regular

∴ All angles are equal in measures

∵ The measure of each angle is $m=\frac{(n-2)180}{n}$

∴ $m=\frac{(20-2)180}{20}$

∴ $m=\frac{(18)180}{20}$

∴ $m=\frac{3240}{20}$

∴ m = 162

∴ The measure of one angle of a regular convex 20-gon is 162°

5 0

3 years ago

Another name for the natural numbers is _____.

sammy [17]

<span>Another name for the natural numbers is counting numbers
because All the counting numbers(1,2,3......)are called natural numbers
so option B is correct
hope it helps</span>

8 0

2 years ago

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