Answer:
True. The absolute value produces a positive value, but then when you negate that value, it would always be negative. What's important is we're not taking the negative of the number being absolute valued itself, but rather we're taking a negative of the result.
Step-by-step explanation:
Answer:
The complex number in the form of a + b i is 3/2 + i √3/2
Step-by-step explanation:
* Lets revise the complex number in Cartesian form and polar form
- The complex number in the Cartesian form is a + bi
-The complex number in the polar form is r(cosФ + i sinФ)
* Lets revise how we can find one from the other
- r² = a² + b²
- tanФ = b/a
* Now lets solve the problem
∵ z = 3(cos 60° + i sin 60°)
∴ r = 3 and Ф = 60°
∵ cos 60° = 1/2
∵ sin 60 = √3/2
- Substitute these values in z
∴ z = 3(1/2 + i √3/2) ⇒ open the bracket
∴ z = 3/2 + i √3/2
* The complex number in the form of a + b i is 3/2 + i √3/2
Answer:
4 ( m⁶ - 4p¹⁰ )
Step-by-step explanation:
4m⁶ = 4 * m⁶
16p¹⁰= 4 * 4 * p¹⁰
Common factor = 4
4m⁶ - 16p¹⁰ = 4 ( m⁶ - 4p¹⁰ )
Answer:
2 years
Step-by-step explanation:
$400 x 14% = $56
$56 x 2 = $112
Answer:
193
Step-by-step explanation:
Merry Christmas
