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:
y=mx+b? That's the equation in slope-intercept form. M= slope B= y-intercept.
Answer:
For the L shaped thing, the area is 224 ft^2
Step-by-step explanation:
18*(18-10) + 10*(18-10) = 224
Just requires some visualizing :) Hope this helps <3
Answer:
y= x2 is a direct variation function. An indirect or inversely proportional function would be y= x/2
Answer: 3.25 + 5.50s ≤ 30
Step-by-step explanation:
The following information can be gotten from the question.
Cost of chocolate milk = $3.25
Cost of stack pancake = $5.50
Maximum amount to be spent by Benjamin = $30
Number of stacks of pancakes to be bought = s
First, we need to calculate the stacks of pancakes that Benjamin can buy. This will be:
= $5.50 × s
= 5.50s
Therefore, the total money that Benjamin will spend will be:
= 3.25 + 5.50s
Since he wants to be able to be at most $30 before tax, the inequality can be written as:
= 3.25 + 5.50s ≤ 30