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4 A square picture frame
has a perimeter
Of 40 inches. How co
long is each
side of the
picture
frame?

Each side of square frame can be 10 inches long.

Step-by-step explanation:

Before delving into the problem we need to know some facts about “Square”

As given in the question the picture frame is square with 40 inches perimeter

Thus 4s=40 inches  ∴where s= measure of the square’s side

∴ s=10 inches  ⇒  s= measure of the square’s side

∴ hence the measure of the square’s side frame is 10 inches

okay wait before i answer, is this for your points on a graph?

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