2. Find the area of the regular polygon. *HINT* - You must solve for the side of the octagon before you can find the area of the figure.

a. What is the Perimeter of the figure?

b. What is the area of the figure?

P = 80

A = 480²

Step-by-step explanation:

To solve for the base we use the Pythagorean Theorem

then we multiply by 2 to get the side length

2x5=10

this is an 8 sided figure with congruent sides so to get the perimeter we multiply 8 and 10

8x10=80 so the perimeter is 80

To find the area of a regular polygon we multiply the apothem (12) and the perimeter (80) and divide by 2

12x80=960

960/2=480

the area is 480²

let's cover over the formula of the vertex:

y = a(x – h)^2 + k

in this formula, (h,k) are the vertex, always remember that the positive or negative value of the vertex is based on the sign it has.

for example, if the vertex is -3,-6 then both the x and y value would have the positive sign attached to it and if it were a positive x and y value, then a negative sign would be attached to it.

with that being said, for our problem the x value is a positive one so we are looking for a number with a negative sign next to it, in this case the first and second choice.

however, for the first answer choice it isn't quite part of the formula so we know that the answer choice correctly displays the x value.

to confirm, we can see if the -1 fits correctly with the second answer choice, and as mentioned above a negative number will have a positive sign attached to it. so, for our problem we can see that -1 has been changed to +1, so we can confirm that the second answer choice is correct.

hence, our final answer is y=(x - 1)^2 + 1

guess at question:

a vertical line intersects the graph of g(x,y) = 0 at two points. what conclusion follows about the function f(x) implicitly defined by g(x,f(x)) = 0?

the domain of f(x) cannot include the x coordinate of any such vertical line.

informally, f(x) is not a function, and

g(x,y)=0 cannot be solved for y uniquely.

the relation r = {(x,y) such that g(x,y) = 0} is a function if

for all (a,b) ∊ r and (c,d) ∊ r, a=c implies b=d.

step-by-step explanation: