The answer for your question is x=-1
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
The answer for #1 is y = - 3/2 x + 6
Answer:
Step-by-step explanation:Common bean bag filling, expanded polystyrene (EPS) can actually be recycled by separately containing the small beans in a clear plastic bag for your recycling bin.
Answer:
= 16
Step-by-step explanation:
Simplify \frac{5}{20}
20
5
to \frac{1}{4}
4
1
.
\frac{4}{r}=\frac{1}{4}
r
4
=
4
1
2 Multiply both sides by rr.
4=\frac{1}{4}r4=
4
1
r
3 Simplify \frac{1}{4}r
4
1
r to \frac{r}{4}
4
r
.
4=\frac{r}{4}4=
4
r
4 Multiply both sides by 44.
4\times 4=r4×4=r
5 Simplify 4\times 44×4 to 1616.
16=r16=r
6 Switch sides.
r=16r=16