Answer:
For the given functions f(x) and g(x) 
Step-by-step explanation:
Here, the given function are:
Now, simplifying for (f-g)(x) = f(x) - g(x):
Doing operation on LIKE TERMS, we get
f(x) - g(x) = 
Hence, for the given functions f(x) and g(x)
Answer:
1 hour and 8 minutes
Step-by-step explanation:
After travelling 1 hour you’ve reached 60 miles. So you go 1 mile/ minute.
You have then 8 miles left. You get: 8 minutes. Which gives us the answer:
1 hour and 8 minutes.
Answer:
9.00
Step-by-step explanation:
Answer:
There are two ways to do this problem algebraically or trigonometrically.
Algebraically/geometrically
The ratios of the sides of a 30/60/90 tri. are x, x√3, 2x (short leg, long leg, hyp). Therefore, if the long leg is 6 'units'. then 6 = x√3. x = 6√3.
The hyp is 2x then the hypotenuse is 2(6√3) = 12√3, rationalizing is 12√3/3 = 4√3
Using Trig.
We can use sinx = y/r = opp/hyp. The long leg of 6 is opposite 60 degrees (pi/3).
Therefore, sin(pi/3) = 6/r =
r = 6/sin(pi/3) = 6/(√3/2) = 12/√3, when you rationalize you get 12√3/3 = 4√3
