The pilot has to change direction because most of the time, the wind gusts are perpendicular to the destination. Plus the earth has a curvature and over a long flight altitude changes in which the magnitude changes resulting in the resultant.
you would factor using the perfect square method to get
(3m+5n)^2
Really cool! That looks good! I hope you understand me lol.....sometimes I speak in a different language.......literally. I speak spanish........THIS WAS A JOKE COPY AND PASTE TO GET POINTS!!!
Answer:
-3/5 rise over run left doen arenegative right up are positive
Remark
You have to complete the square twice. Begin by transferring the 75 to the right hand side. Put separate brackets around the x terms and another set around the y terms.
(x^2 + 10x ) + (y^2 - 16x ) = - 75
(x^2 + 10x + (10/2)^2 ) + (y^2 - 16x + (16/2)^2) = - 75 + (10/2)^2 + (16/2)^2
(x + 5)^2 + (y - 8)^2 = - 75 + 25 + 64
(x + 5)^2 + (y - 8)^2 = 14
The center is at (-5,8) which is C
Note: The graph is below just to confirm my answer. Notice where the center is and that the radius is just under 4.