She Elle has 100 meters of fencing to build a rectangular garden. The garden's area (in square meters) as a function of the garden's width "w" (in meters) is modeled by: A(w) = -(w-25)^2+625 What is the maximum area possible in square meters?

Step-by-step explanation:

In this problem, we are told that the area of the garden is given by the expression

where

w is the width of the garden (in meters)

Here we want to find the maximum possible area.

The maximum of a function f(x) can be found by requiring that its first derivative is zero:

Therefore, here we have to calculate the derivative of and find the value of w for which it is equal to zero.

Let's start by rewriting the area function as

Now we calculate the derivative with respect to w:

Now we require this derivative to be zero, so

So now we can substitute this value of w into the expression of A(w) to find the maximum possible area:

This value is allowed because we know that the maximum length of the perimeter of the fence is 100 meters; If the garden has a square shape, the length of each side is , and the area of the squared garden is

Which is equal to what we found earlier: this means that the maximum area is achieved if the garden has a squared shape.

a. turk and mcalister

b. howard, mission, and market

c. yes. since streets end some do not cross yet are not parallel to others. example: mcalister and 5th

step-by-step explanation:

parallel lines are lines which do not intersect ever and look a lot like railroad tracks. turk, mcalister and golden gate are examples of these.

intersect are streets which cross each other and a car on one can reach the other. howard, mission, and market intersect with 6th.

skew lines are lines which neither intersect nor are parallel. these lines exist here because some streets end and never intersect another like mcalister and 5th.

what is

step-by-step explanation: