Answer:
options are 3 and 4
Step-by-step explanation:
The difference of squares is defined as In option 1,
It can be written as
It is the sum of squares, therefore the option 1 is incorrect.
In option 2,
The number 40 is not a complete square of any number, therefore option 2 is incorrect.
In option 3,
It can be rewritten as
It is the difference of squares, therefore option 3 is correct.
In option 4,
It can be rewritten as
It is the difference of squares, therefore option 4 is correct.
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Since this can't happen, let's suppose that P=150, then:

Now we have to move the 100 to the other side of the equation with a negative sign to get this:

Finally, to get w, we move the 2 that's multiplying to the other side dividing the 50:

Therefore, the width of the rectangle would be 25 ft if the perimeter is 150ft, and we can see how the rectangle would look:
Answer:
17. 37
18. 10
Step-by-step explanation:
Use the formula a squared + b squared = c squared. (a^2 + b^2 = c^2)
For number 17 first square both your side lengths of 12 and 35 to get 144 and 1225.
Then add them together to get 1369. That is your c^2 but now you have to find the square root to get your side length of c. Once you find the square root of 1369 you should get an answer of 37 for your missing side.
Using the same formula of a^2 + b^2 = c^2 you square the two side you’re given and get 576 + b^2 = 676
Since it gives you your a and c side lengths all you do is subtract your a from your c (676 - 576) to get 100 which is your b^2. Then you find the square root of 100, which is 10 because 10 times itself is 100, you’ll have your b side length of 10