Answer:
C. - 4x^2 + 5x - 4
Step-by-step explanation:
just expand the equation and you'll get C
H = 4(x + 3y) + 2
H = 4x + 12y + 2
H - 12y - 2 = 4x
(H - 12y - 2) / 4 = x or 1/4H - 3y - 1/2 = x
Answer:
140 degree
Step-by-step explanation:
Since the sum total of a polygon is 540 degree, simply subtracts from each degree of the other angles.
540 degree - 110 degree - 85 degree - 125 degree - 80 degree = 140 degree
Since the beacons rotate together, the angular speed is constant.
From the time you see the first beacon, you have to wait for the lighthouse to make 120°, i.e. 1/3 of a whole turn.
So, if T is the time it takes for the lighthouse to make a whole turn, the interval between the first and the second beacon is T/3.
The interval between the second and third beacon is the amount of time it takes to the lighthouse to make the remaining 2/3 of a turn, so that you'll see the first beacon again. So, this time is 2T/3
So, the ratio is

So, the time between the second and third beacon is twice as much the time between the first two.
Start with

Separate the variables:

Integrate both parts:

Which implies

Solving for y:

Fix the additive constant imposing the condition:

So, the solution is
