What are the real and imaginary parts of z ? z = 32 + 41.9i
1 answer:
Answer:
The real part is 32, while the imaginary part is 41.9
Step-by-step explanation:
z is a complex number. A complex number is made up of real and imaginary parts.
The real part is the number that stands alone, while the imaginary part is the number that is directly beside the i.
i is actually equal to . There is no solution for that.
Therefore, for the given expression, the real part is 32, while the imaginary part is 41.9.
Note: the imaginary part does not contain i.
You might be interested in
Answer:
see explanation
Step-by-step explanation:
Expand both factors and collect like term
Using Pascal' triangle with n = 6 to obtain the coefficients
1 6 15 20 15 6 1
Decreasing powers of 1 from to
Increasing powers of 3x from to
= 1. + 6.
+ 15.
+ 20.
+ 15.1²
+ 6.
+ 1.
= 1 + 18x + 135x² + 540x³ + 1215 + 1458
+ 729
--------------------------------------------------------------------------------------
= 1. + 6.
+ 15.
+ 20.
+ 15.1²
+ 6.
+ 1.
= 1 - 18x + 135x² - 540x³ + 1215 - 1458
+ 729
----------------------------------------------------------------------------------
Collecting like terms from both expressions
+
= 2 + 270x² + 2430 + 1458
----------------------------------------------------
(2)
Using Pascal's triangle with n = 5
1 5 10 10 5 1
Decreasing powers of 1 from to
Increasing powers of 2x from to
= 1. + 5.
+ 10.
+ 10.
+ 5.
+ 1.
= 1 + 10x + 40x² + 80x³ + 80 + 32
Answer:
A) By using the Pythagorean Theorem, we will see that . If we simplify it, we will find that the hypotenuse of Δ
B) approximately
Step-by-step explanation:
A) In all honesty, you don't really need to look at ΔACD at all for this one. Just use the Pythagorean Theorem (like previously stated) and solve!
***Pythagorean Theorem is
B) Here, you can also use the Pythagorean Theorem! However this time, the equation will be, .
≈
Hope you do well on the rest of your math problems :D