Find the value of x 2/3 x -4 = 2
1 answer:
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speed of the plane in still air is 76 m/s and speed of the wind is 28 m/s .
<u>Step-by-step explanation:</u>
Here we have , A plane traveled 1248 miles to Ft. Worth and back. The trip there was with the wind. It took 12 hours. The trip back was into the wind. The trip back took 24 hours. We need to find What is the speed of the plane in still air? What is the speed of the wind? Let's find out :
<u>For Going trip :</u>
Let speed of plane be u , and wind be v so : Speed = ( Distance ) / ( time )
⇒
⇒ ...........(1)
<u>For Returning Trip :</u>
⇒
⇒ ...........(2)
Adding both equations we get :
⇒
⇒
⇒
Putting this value in equation (1) we get :
⇒
⇒
Therefore , speed of the plane in still air is 76 m/s and speed of the wind is 28 m/s .
Answer:
r =
Step-by-step explanation:
So we need to complete the square for both parts of the equation
First though we can add the 6 to the other side so we have x² + 2x + y² + 4y = 6
So first we can complete the square for x² + 2x
To do so we need to use to figure out the number we need to add to both sides
In this case our b is 2, so substituting this in we get
Here we add 1 to both sides and now we have x² + 2x + 1 + y² + 4y = 6 + 1
Now we can follow the same steps to complete the square for y² + 4y
Here our b is 4, so substituting this in we get
Now we add 4 to both sides and now we have x² + 2x + 1 + y² + 4y + 4 = 6 + 1 + 4
Now condensing everything we have (x + 1)² + (y + 2)² = 11
The formula for a circle is (x - h)² + (y - k)² = r²
In our equation we have r² = 11
To find the radius we need to take the square root of both sides to get r =