This is called a difference of squares which always factors according to the rule for factoring the difference of squares....
(a^2+b^2)=(a+b)(a-b) in this case:
9w^2-16 so
(3w-4)(3w+4)
D. Since we know that 1 ticket = $8 we would multiply to figure out how much 7 tickets were. (7x$8). And to figure out his change you would subtract the ticket amount from $100 :) Hope this helps
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Answer:
The value of x is
.
Step-by-step explanation:
Given expression is:

We have to solve this for x.
First we will multiply both sides of the equation by 3

2(x-2) = 12x
2x-4=12x
Now we will be subtracting 2x from both sides of the equation
2x-2x-4=12x-2x
-4=10x
10x=-4
Dividing both sides by 10

Hence,
The value of x is
.
Answer: The expressions for the length and width of the new patio are

And the area of the new patio is 384 sq. feet.
Step-by-step explanation: Given that Stephen has a square brick patio. He wants to reduce the width by 4 feet and increase the length by 4 feet.
The length of one side of the square patio is represented by x.
We are to write the expressions for the length and width of the new patio and then to find the area of the new patio if the original patio measures 20 feet by 20 feet.
Since Stephen wants to reduce width of the patio by 4 feet, so the width of the new patio will be

The length of the patio is increased by 4 feet, so the length of the new patio will be

Now, if the original patio measures 20 feet by 20 feet, then we must have

and

Therefore, the area of the new patio is given by

Thus, the expressions for the length and width of the new patio are

And the area of the new patio is 384 sq. feet.