Keshawn needs to enclose a pen for her pigs. she only has 200 feet of fencing and wants to enclose the maximum area. she sets up a equation a = l(100-l) to find the length of the pen should be. what does 100 - l represent?

We get that 100-l represents the breadth of the pen.

Step-by-step explanation:

Since we have given that

Perimeter of rectangle = 200 feet

Let the length of the pen for her pigs be 'l'.

So, According to question,

Perimeter of rectangle = 2(l+b)

And we know the formula for "Area of rectangle":

So, we get that 100-l represents the breadth of the pen.

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step-by-step explanation:

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