z= r(cosθ+i sinθ) is the required polar form where, r = √41 and θ =π-
Step-by-step explanation:
Given,
-4+5i is a complex number.
To find the polar form.
Formula
z=x+iy
r² = mod of (x²+y²)
θ =
So, the polar form will be z=r(cosθ+i sinθ)
Now,
r² =(-4)²+5² = 41
or, r = √41
θ =π- [ since the point is in second quadrant]
Hence,
z= r(cosθ+i sinθ) is the required polar form where, r = √41 and θ =π-
Answer:
5
Step-by-step explanation:
29÷7=4.14
Well you can't have 4.14 boxes so you'll need 5 boxes
Answer:
24
Step-by-step explanation:
First we must recognize that this equation is a quadratic function, therefore we can use the quadratic equation and look only at the discriminate portion of that formula. However, before doing so we need to set up our equation by taking the 1 to the other side and so:
And we know that in general a quadratic function is such that:
And so our quadratic equation is:
But we only need to look at what's under the square root meaning:
This is our discriminant and since a=5, b=2 and c=-1 we have: