Answer:
5/4
Step-by-step explanation:
Answer:
Could you put the questions please?
Step-by-step explanation:
Answer:
DL/dt = 17 mph
Step-by-step explanation:
The ships and the port shape a right triangle
Ship going west ( x-direction) is traveling at 15 mph
Ship going north (y-direction) is traveling at 10 mph
The distance L between ships is:
L² = x² + y²
Tacking derivatives on both sides of the equation with respect to time
we get
2*L*DL/dt = 2*x*Dx/dt + 2*y*Dy/dt (1)
In that equation we know:
Dx/dt = 15 mph
Dy/dt = 10 mph
At the moment ship traveling from the east is at 3 miles from the port
then x = 3 m and the other ship is at 4 miles north
then by Pythagoras theorem
L = √ 3² + 4² L = 5
By substitution in equation 1
2*5*DL/dt = 2*3*15 + 2*4*10
10* DL/dt = 90 + 80
DL/dt = 170 / 10
DL/dt = 17 mph
Answer:
False
Step-by-step explanation:
to determine if (4, 0 ) is a solution to the system, substitute x = 4, y = 0 into the left side of both equations.
If the left side is equal to the right side of both equations then the point is a solution to the system.
- 4 + 6(0) = - 4 + 0 = - 4 ≠ 4
3(4) + 0 = 12 + 0 = 12
since only one equation is true, the point (4, 0 ) is not a solution to the system.
