Answer:
a) see below
b) 40x20 meters
Step-by-step explanation:
Write down what you know:
- The area of the enclosure is length*width, so

- The length of the fencing is 80 meters, so

Now we have to combine these two equations above, and get rid of y in the process.
First rewrite the second as:

Then substitute for y in the first:

b) To maximize A, find the zero of the first derivative:

So y = (80-40)/2 = 20 meters.
Answer:
The area and the perimeter of the square barn which has each side 9 meters long is 81 m² and 36 m.
Step-by-step explanation:
We have to translate the coordinates using the given rule.
The given rule is (x-4,y+3)
Now we have to translate the point A(4,6) using the given rule.
Then,
A' is (4-4,6+3)=(0,9)
Now the point B(-2,3) is to be transformed.
Then,
B' is (-2-4,3+3)=(-6,6)
Hence the answer is A'(0,9) and B'(-6,6)
c=PI*d
divide both sides by PI to get d by itself
d = c/PI
(5.0 x 10²) x (3.0 x 10⁸) = 1.5 x 10¹¹ meters = 1.5 x 10⁸ km.