Hi there! The answer is 15 feet.
The easiest way of solving this problem is by setting up and solving an equation.
Let the length of Howard's patio be represented by X. Now we can get the following expressions
3 times the length of Howard's patio would be 3X (multiply by three).
5 feet less than 3 times the length of Howard's patio would be 3X - 5 (just subtract five).
Now we've found an expression that represents the length of John's patio. Knowing this we can set up and solve an equation.

First add 5 to both sides of the equation.


Finally divide both sides by 3.

Therefore, the length of Howard's patio is 15 feet. The answer is 15 feet.
~ Hope this helps you!
Answer:
3
Step-by-step explanation:
f(x)-g(x)=3-cos(x)
when u limit it
u have
3-cos180
which is 3-0
3
Ma and TH are parallel because
Answer:
C
Step-by-step explanation:
Remember that we can use the discriminant to determine the amount of roots that a quadratic function has.
If the determinant equals 0, then we only have one real root.
Our function is given by:

Then the discriminant will be:

We only have one real root, thus our discriminant must be 0:

Solve for b:

Thus:

The answer is both II and III.
The final answer, then, is C.