Answer:the product of the length and the width of the rectangle could be expressed as
(x^2 - 3y)(x^2 + 3y)
Step-by-step explanation:
If the area of a rectangle is expressed as x^4 - 9y^2, we would determine the dimensions by simplifying the given expression. The simplified expression becomes
(x^2 - 3y)(x^2 + 3y)
Let us check by multiplying each term in one parenthesis by each term in the other parenthesis to get the given expression. It becomes
(x^2 - 3y)(x^2 + 3y) = x^4 + 3x^2y - 3x^2y - 9y^2 = x^4 - 9y^2
Graphing the points shows you that ...
The 2 towns closest together are Dunkirk and Allentown.
The 2 towns farthest apart are Dunkirk and Clearfield.
_____
A compass (or dividers) can help you sort it out once you plot the points on a graph, if you don't trust your eyeballs to tell you which distances are longest and shortest.
Answer: 0.0064683053
I just used a calculator..
It's answer will be 36x10^5
As we have
(4x10^10)(9x10^-5)
All terms of this expression are being multiplied
So we will solve it in two parts, simple terms and terms having powers
(4x9)(10^10x10^-5)
As we know when same terms having some powers are multiplied, their powers are added
(36)(10^(10-5))
(36)(10^5)
So it will become
36x10^5
87.36
This can be rounded to equal 87.4.
Hope this helps! :)
