Step 1
Find the equation of f(x)
we have the points
(-10,-6) and (0,4)
Find the slope m
The function in slope intercept form is equal to
we have
-----> the point (0,4) is the y-intercept
substitute
step 2
Find the equation of g(x)
we have the points
(-2,-6) and (0,4)
Find the slope m
The function in slope intercept form is equal to
we have
-----> the point (0,4) is the y-intercept
substitute
step 3
Find the value of k
we have
-----> equation A
-----> equation B
----> equation C
substitute equation A and equation C in equation B and solve for k
Add all numbers and divide the total by how many numbers there are
We have
<span>Va(airplane)=150
East</span>
Vw(wind)=7.1
South East
<span>
</span><span>resulting vector R</span>
airplane
Vax=150 Vay=0 it only has component x
WindVwx=7.1*cos45=5.02
Vwy=7.1*sin45=-5.02
is negative because is South direction
|R|=(Rx^2+Ry^2) ^0.5
Rx=150+5.02=155.02
Ry=0-5.02=-5.02
<span>|R|=155.10
miles/hour South East</span>
Determine angle θ
Rx=R*cos(θ)
<span>Cos(θ)=Rx/R</span>
<span>Cos(θ)=155.02/155.10=0.9995</span>
θ =arc cos Rx/R
θ =1.8119 º
Rx represents the component in the East direction of the resultant force. Your contribution is given by both, the force of the plane and the wind. The contribution of the wind makes the airplane's speed greater
Ry represents the component in the South direction of the resulting force
Its contribution is exclusive of the wind since the airplane has no component
in this direction
|R| the force resulting from the combined action of the force of the plane and the force of the wind
θ represents the angle that forms the resultant force with respect to the x axis or east direction
