Answer:
you can put in any of the numbers that are already listed in the x values. You can put 5, 14, -1, and 23 because something can't be a function if x values repeat.
Answer:
The rate of change of the tracking angle is 0.05599 rad/sec
Step-by-step explanation:
Here the ship is traveling at 15 mi/hr north east and
Port to Radar station = 2 miles
Distance traveled by the ship in 30 minutes = 0.5 * 15 = 7.5 miles
Therefore the ship, port and radar makes a triangle with sides
2, 7.5 and x
The value of x is gotten from cosine rule as follows
x² = 2² + 7.5² - 2*2*7.5*cos(45) = 39.04
x = 6.25 miles
By sine rule we have
Therefore,
α = Angle between radar and ship α
∴ α = 58.052
Where we put
to get
and differentiate to get
= 3.208 degrees/second = 0.05599 rad/sec.
Answer:
Please, see the attached file.
Thanks.
Step-by-step explanation:
-5x-8y=40
This is a linear equation, and its graph is a right line, we only need two points, because by two points only goes trough only a right line:
1) For x=0→ -5(0)-8y=40
0-8y=40
-8y=40
Dividing both sides of the equation by -8:
-8y/(-8)=40/(-8)
y=-5
Point=(x,y)→Point=(0,-5)
2) For y=0→ -5x-8(0)=40
-5x-0=40
-5x=40
Dividing both sides of the equation by -5:
-5x/(-5)=40/(-5)
x=-8
Point=(x,y)→Point=(-8,0)
With these two points (0,-5) and (-8,0) we can draw the right line.