If we let the coordinates of each ship be (x, y) with the positive directions of these coordinates corresponding to East and North, then the positions of the ships t hours after noon are
Ship A
(-180+35t, 0)
Ship B
(0, 30t)
The distance between them is the "Pythagorean sum" of the difference in their coordinates:
d = √((-180 +35t)² +(-30t)²)
= √(32400 -12600t +2125t²)
The rate of change of this distance is
dd/dt = (2125t -6300)/√(32400 -12600t +2125t²)
At 4 pm, the value of this rate of change is
(2125*4 -6300)/√(32400 -12600*4 +2125*4²)
= 2200/√16000
≈ 17.39 km/h
The distance between the ships is increasing at about 17.39 km/h at 4 pm.
Answer:
figure A
Step-by-step explanation:
it’s in the same cordinates but reflected across the x axis
I) -7s^2+28st+21su
II) -8c^2+20cd
Answer:
165 degrees
Step-by-step explanation:
According to the protractor, the angle stretches from 10 degrees to 175 degrees. Subtract 10 from 175 to get the total measurement, and you will get 165. The angle is 165 degrees.
8 x $9 = $72.00
8 x $3 = $24.00
$72.00 + $24.00 = $96.00
savings changed by $96.00
