Answer:
Sec (x) - 2 tan (x)
Step-by-step explanation:
X=-3
because
-4x=21-9
-4x= 12 divide both sides
x=-3
Answer:
y=2x+1
Step-by-step explanation:
First you have to find the slope:
5-1/2 so 4/2 or 2
Then you write it in point-slope: (I used the point (0,1))
y-1=2x
Simplify than:
y=2x+1
Assuming the man works 8 hours straight without breaks:
25% is the same as 1/4 of something.
So, we just have to figure out what 1/4 (one quarter) of 8 equals.
You can think of it as a pizza cut into 8 slices. One slice is equivalent to one hour for the patrolman.
If we take away 1/2 (half) of the pizza, we have 4 slices, right? Since we start with 8 slices, half of that equals 4 slices. In other words, 50% (half) of the pizza = 4 slices.
Now, 25% (one quarter) of the pizza will equal half of what is left:
If we know that 50%=4 slices (or 4 hours), then 25% must be 2 slices (or 2 hours).
That's it! 25% of 8 hours = 2 hours.
***So, the patrolman spends 2 hours each day completing paperwork.***
Lets check our work:
We know 8 hours (or 8 slices)= 100%
(We know this because
8 slices = 1 whole pizza, or 100% of a pizza. Similarly,
8 hours = 1 whole shift or 100% of the man's shift ).
So
25% + 25% + 25% + 25% = 100%
If 100% of the mans shift = 8 hours:
2+2+2+2 = 8
It checks out!
Hope this helps!
The distance between the two points is 
The polar coordinate of A is 
The polar coordinate of B is 
Explanation:
The two points are 
and 
The distance between two points is given by,
Thus, the distance between the two points is
The polar coordinates of A can be written as 
Distance = 
Substituting , we get,
Distance = 
To make the angle positive, let us add 360,
The polar coordinate of A is
Similarly, The polar coordinate of B can be written as
Distance =
Substituting , we get,
Distance = 
To make the angle positive, let us add 360,
The polar coordinate of B is
