Answer:

Step-by-step explanation:
Given the expression

solving the expression



so the expression becomes


Thus,

Answer:
The correct option is;
r = √(x² + y²)
θ = tan⁻¹(y/x)
Step-by-step explanation:
The rectangular coordinate of a complex number on the complex plane is given as (x, y)
Given that the complex number is represented by a point on the plane, we have;
The distance, r, of the point from the origin, (0, 0) is r = √(x² + y²)
The direction, θ, by which we rotate to be in line with the point on the complex number is given by tan⁻¹(y/x)
Answer:

Step-by-step explanation:
refers to the permutations of 5 items taken 3 at a time. To evaluate this, we use factorials as follows;

The factorial of an integer n is evaluated as;

Using this concept, the above expression can now be simplified as follows;

Therefore, the permutations of 5 items taken 3 at a time is 60.
The next expression,
refers to the combinations of 6 items taken 4 at a time. The simplification utilizes similar concepts of permutations since we shall be involving factorials;

Therefore, the combinations of 6 items taken 4 at a time is 15.
The final step is to evaluate the product;

1. substitute:
4+(7-5)
2. simplify:
4+2
3. evaluate:
6
the answer is 6.
Answer:
the answer is c.840
Step-by-step explanation:
you multiply 15 4 times and multiply it with 14 that would give us 840