ANSWER
or
We have
Since we cannot factor easily, we complete the square.
Adding 2 to both sides give,
Dividing through by 3 gives
Adding
to both sides gives
The expression on the Left Hand side is a perfect square.
Splitting the plus or minus sign gives
or
It takes 40 minutes more going up or 40/60 = 0.67 hours
more.
Let us say that:
t = the time required for him running down
t + 0.67 = time required for him running up
Since the distance of running up and down must be equal
therefore:
(3 miles / hr) * (t + 0.67) = (5 miles / h) * t
3 t + 2.01 = 5 t
2 t = 2.01
t = 1.005 hr
So the total length of the hike is:
length = 2 * (5 miles / hr) * (1.005 hr)
<span>length = 10.05 miles</span>
Answer:
c) rad 3/2
Step-by-step explanation:
If Cos 30° equals rad 3/2 then the sin 60° equals rad 3/2.
If you would like to write a * b + c in simplest form, you can do this using the following steps:
a = x + 1
b = x^2 + 2x - 1
c = 2x
a * b + c = (x + 1) * (x^2 + 2x - 1) + 2x = x^3 + 2x^2 - x + x^2 + 2x - 1 + 2x = x^3 + 3x^2 + 3x - 1
The correct result would be x^3 + 3x^2 + 3x - 1.
