Answer:
6 to the power of 7
Step-by-step explanation:
Answer:
Step by step approach is as shown
Step-by-step explanation:
- Consider the system Ax = 5z .............(1)
- Substitute (Ay) for z in equation (1)
- therefore, Ax = 5(Ay) ....................... (2)
- Hence the equation can also be written as Ax = A(5y) ................ (3)
recalling from commutative law that A + B = B + A and since A is a scalar, and from scalar multiplication of matrix.
- From equation (3) ; Ax = A(5y), it implies that x = 5y from comparison and as such if we compare with equation (2) where z = Ay
- therefore equation (2) can then be written as Ax = 5z, since there is consistency as such the the equation will also have a solution.
10 x 4 thousands = 4 thousand = 4000
Good HOMEWORKS =))
Answer:
9 3/4
Step-by-step explanation:
9.5 is 9 2/4 in fraction form and 9 3/4 is greater than 9 2/4.
Answer:
i)
ii)
Thinking Process:
This can either be solved using complex variables or simply trigonometry (they are all the same in a way)
But we'll simply go with trigonometry and good old Pythagorean theorem.
Solution:
For Cartesian coordinates are:
To covert them into
We can use:
- The Pythagoras theorem to find
- Arctangent to find
These are related since:
So, let's start solving:
Part a) (4,-4)
For r:
i) for we'll go with
ii) for we'll go with
For theta:
One thing to keep in mind is that the point (4,-4) lies in the 4th quadrant of the xy-plane, and the range given for is . So we have to add to our answer (we have gone around the circle and stopped at the same place as radians)
radians
radians
The Answer for part(a) is
Part b) (-1, sqrt(3))
For r:
i) for
ii) for
For theta:
this not in range of theta: .
and the point lies in the 2nd quadrant, so we can add radians to our answer
in range:
The Answer for part(b) is