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
By using the rules that the value inside square root can’t be negative and the denominator value can’t be zero, the domain for the given function is a) x<-1 and x>1 b) p≤1/2 c) s>-1.
I found the complete question on Chegg, here is the full question:
Write the restrictions that should be imposed on the variable for each of the following function. Then find, explicitly, the domain for each function and write it in the interval notation a) f(x)=(x-2)/(x-1) b) g(p)=√(1-2p) c) m(s)= (s^2+4s+4)/√(s+1)
Ans. We know that a number is not divisible by zero and number inside a square root can not be negative. In both the cases the outcome will be imaginary.
a) For this case the denominator x-1 can not be zero. So, x ≠1 and the domain is x<-1 and x>1.
b) For this case the value inside square root can’t be negative. So, p can’t be greater than 1/2 the domain is p≤1/2.
c) For this case also the value inside square root can’t be negative and the denominator value can’t be zero. So, s can’t equal or less than -1 and domain is s>-1.
Learn more about square root here:
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Answer: 384
There are 384 smoke free rooms.
Step-by-step explanation:
Miles = 15 1/10
Miles = 151/10 miles
Hour = 1/3 hour
Av = 151/10 miles / 1/3 hour
Av = 151/10 × 3 / 1/3 × 3
Av = 453/10 miles / hour
Av = 45,3 mil / h
