Armer Ed has 2500 meters of fencing, and wants to enclose a rectangular plot that borders on a river. If Farmer Ed does not fence the side along the river, what is the largest area that can be enclosed?

781250 Square Meters

Step-by-step explanation:

Let the dimensions of the rectangular plot be x and y

Farmer Ed wants to enclose three sides of a rectangular plot with a fencing of 2500 meters.

Therefore: Perimeter, P=x+2y=2500

We want to find the largest area that can be enclosed.

Area of the plot, A(x,y)=xy

Substitute x=2500-2y

A(y)=(2500-2y)y

To maximize A, we first find its derivative

The largest area that can be enclosed(at x=1250m,y=625m) is:

1250 X 625

=781250 Square Meters

d. 8

step-by-step explanation:

the given radical expression is:

we can rewrite this as:

we express as square numbers to get;

the exponents will now cancel out to give.

the correct answer is d

exa:

)

3+11

14

step-by-step explanation:

from this example, we can see that subtracting with integers is the same as adding the opposite. we can solve using a number line or by using the saying "keep, change, change" to us solve. it is important to remember that we can subtract a negative and end up with a larger number than we started with.