|sin(x)−sin(y)|=|2sin(x−y2)cos(x+y2)|≤|2sin(x−y2)|
Answer:
7over9 or -7over9
Step-by-step explanation:
81x power 2 - 8 = 41
(left side) (right side)
first we let the 8 from left side go to the right side,so it will be +8:
81x power 2 = 41+ 8
=49
so now we let the 81 from left side go to right side, so it will be ÷81:
x power 2= 49 over 81
and now we let the power 2 (square) go to the other side so it will become square root:
x = + - √49 over 81
at the end, you will get 2 answers which is 7 over 9 and - 7 over 9
Answer:
30 out of 40: 75%
40 out of 50: 80%
40 out of 50 is the better score
Let
be the speed of train A, and let's set the origin in the initial position of train A. The equations of motion are

where
are the positions of trains A and B respectively, and t is the time in hours.
The two trains meet if and only if
, and we know that this happens after two hours, i.e. at 

Solving this equation for v we have

So, train A is travelling at 105 km/h. This implies that train B travels at

Answer:
for every 2 tables there are 10 chairs, so for 12 tables there are 60 chairs