X = 8.5 because 8.5 x 2 = 17 and 17 + 1 = 18
Answer:
6x
Step-by-step explanation:
7x - x
Factor out x
x( 7-1)
6x
Answer:
y=2x - 4
Step-by-step explanation:
slope intercept is y = mx+b, where m is slope and b is y intercept.
subtract 2x from both sides of the equation
-y = 4 - 2x
multiply each term in -y = 4 - 2x by -1
(-y) . -1 = 4 . -1 + (-2x) . -1
y= 4. -1 + (-2x) . -1
simplify
y= -4 + 2x
Reorder
y= 2x - 4
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:c/5 ≥ -29
Step-by-step explanation: Quotient means to divide which is c\5 and at least means ≥ which is ≥ 29
