At noon, ship a is 60 km west of ship b. ship a is sailing south at 15 km/h and ship b is sailing north at 5 km/h. how fast is the distance between the ships changing at 4: 00 pm?

The two ships are sailing in opposite sides, Hence, the resultant speed is given by 15+5 = 20 km/hr.

Therefore, from the below triangle, we have

Let the distance between the ships is y. On applying Pythagorous theorem, we have

On substituting the value of y as

Since, the at noon the ship is 60 km to each other. Hence, for 4 PM, i.e. t=4, we have

On substituting the value in above, we get

Therefore,  the distance between the ships changing at a rate of 16 km/hr at 4:00 pm

7

step-by-step explanation:

to plot points   for x just start at the origin (middle) and go to the left however many times it say(if the number is a positive) if the number is a negative then go right however many times it says if it is 0 go nowhere

now keep you pencil there and go up however many times it says on y(if it is positive) if it is negative then go down however many times it says. if it says 0 go nowhere.

you have just plotted a point! now when you finish plotting all of them connect them with a ruler

plot each point as (-3, 7), (0,4), (3,1), (8,-4)   in the parenthesis on the left of the comma is x and the right is y.