A small plane is flying northeast at a speed of 200 mph. A wind blows due west at 28 mph. Find the resultant speed and direction of the plane.

The resultant speed = 181.3 mph

The final direction = 38.7° northeast.

Step-by-step explanation:

We need to find the component in the x-direction and in the y-direction of the speed:

For the plane:

For the wind we have:

Now, the total speed in the x-direction and  in the y-direction is:

Hence, the resultant speed is:

Finally, the direction of the plane is:

The plane is moving at 38.7° northeast.

I hope it helps you!

since we know that the two functions are equal, f (x) = g

(x), therefore when we equate the two equations the result should be similar to

3x = x – 4:

a. f(x) = 3x, g(x) = x – 4

equating the two functions:

3x = x – 4             (correct)

so we now got our answer (a)

-1/3(x+1)^5

i’m pretty sure this is correct