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)
I got 20.8 and in fraction form it would be 20 4/5
Fraid not. This time, you did it left.
The tool to use is "Vertical" angles are equal. (They don't add up to 180 degrees.)
3y + 120 = 5y + 100
(you should fill in the missing steps)
y = 10°
The upper/lower pair of vertical angles are both 150°.
.
2x = 6x - 60
(you should fill in the missing steps)
x = 15°
The left/right pair of vertical angles are both 30°.
It's any two angles NEXT TO each other that add up to 180°.
Notice here that (150° + 30°) = 180° .
Factor the following:
x^2 - 16 x + 63
The factors of 63 that sum to -16 are -7 and -9. So, x^2 - 16 x + 63 = (x - 7) (x - 9):
Answer: (x - 7) (x - 9)
Answer:
You need <em>at least</em> 101 cans of food in order to meet or surpass the goal.
Step-by-step explanation:
a.
135+89=224
224+c>=325
b.
224-224+x>=325-224
x>=101
You need <em>at least</em> 101 cans of food in order to meet or surpass the goal.
