Answer:
The solutions are and
Step-by-step explanation:
we have
Group terms that contain the same variable, and move the constant to the opposite side of the equation
Factor the leading coefficient
Complete the square. Remember to balance the equation by adding the same constants to each side.
Rewrite as perfect squares
square root both sides
the answer is y=2x-3
You can look at my work if you really need to
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.