Answer:
Cartesian
z₁= 3 +4*j
z₂= 2 +3*j
Polar
z₁=5 * e^ (0.927*j)
z₁=√13 * e^ (0.982*j)
Step-by-step explanation:
for the complex numbers z the cartesian form of is
z= x + y*j
then
1) z₁= 3 +4*j (cartesian form)
2) z₂= 2 +3*j (cartesian form)
the polar form is
z= r* e^jθ
where
r= √(x²+y²) → r₁ = √(3²+4²) = 5 , r₂ = √(2²+3²) = √13
and
θ = tan⁻¹ (y/x) → θ₁ = tan⁻¹ (4/3)= 0.927 rad , θ₂ = tan⁻¹ (3/2)= 0.982 rad
then
z₁=5 * e^ (0.927*j)
z₁=√13 * e^ (0.982*j)
Answer:
1. A. 1
2. D. 
Step-by-step explanation:
Properties used:
- Power of a Power Property
- Product Property
- Quotient Property
- Zero Exponent Property
1. First, let's deal with the numerator.
can be turned into
by using the Power of a Power Property.
And then use the Product Property, 
So now, our fraction is this: 
All number over itself in a fraction is equal to 1. But you can also do this the mathmatic way using the Quotient Property:
or
. Which then you plug the numbers in:
. And since we know that in Zero Exponent Property:
, we can see that
. So either way, we get 1.
So the answer is 1, which is A
2. Power of a Power Property: 
So plug the numbers in the property:
= 
Product Property: 
We plug the equation in with
turned into
---

So the answer is
, which is D
I hope this helps!
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Have a great day!
Answer:
Step-by-step explanation:
4x^2+4x+1
No they are not.
48/2 = 24, 60/3=20.
24/=20. (24 does not equal 20)
Answer:
y= 169 − 
Step-by-step explanation: