Answer:
(a) 
(b) 
(c)
Step-by-step explanation:
All polar coordinates of point (r, θ ) are
and 
where, θ is in radian and n is an integer.
The given point is 
. So, all polar coordinates of point are
and 
(a) 
Substitute n=-1 in , to find the point for which .
Therefore, the required point is .
(b) 
Substitute n=0 in , to find the point for which .
Therefore, the required point is .
(c) 
Substitute n=1 in , to find the point for which .
Therefore, the required point is .
Answer:
4
Step-by-step explanation:
Since the bases are equal the powers also are equal
so
2x + 1 = x + 5
2x - x = 5 - 1
x = 4
Answer:
after distributive property, it would be 3x+15=5x-7
the next step would be to simplify by moving the variables one side and the numbers the other, -2x= -22, then after isolate variable by dividing -2.
x= 11
Answer:
4
Step-by-step explanation:
If Judge is x years old and Eden is 6 years older, then Eden is x + 6 years old.
The second part tells us that Eden will be twice as old as Judge in two years.
This means that in two years: (Eden's age) = 2 * (Judge's age).
Since we know that Eden's age can be represented as x + 6 and Judge's age can be represented as x, we can write this: x + 6 = 2 * x
Simplify the equation:
x + 6 = 2x
6 = x = Judge's age (in two years)
If Judge is 6 two years later, then he must be 4 now.
To check our work, we can just look at the problem. Judge is 4 years old and Eden is 6 years older than Judge (that means Eden is 10 right now). Two years later, Eden is 12 and Judge is 6, so Eden is twice as old as Judge. The answer is correct.
