Answer:
The best answer I would choose is C I think.
Step-by-step explanation:
I'm not 100% sure. Hope this helps.
The Perimeter of a Rectangle.
It's the sum of all its sides.
L + W + L + W or 2(L + W)
Answer:
I dont know the answer I'm just scrolling down this app because I like going through my brothers phone exceptionally mommy and daddy wrestling
z= r(cosθ+i sinθ) is the required polar form where, r = √41 and θ =π- ![tan^{-1} (\frac{5}{4} )](https://tex.z-dn.net/?f=tan%5E%7B-1%7D%20%28%5Cfrac%7B5%7D%7B4%7D%20%29)
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 = ![tan^{-1} (\frac{y}{x} )](https://tex.z-dn.net/?f=tan%5E%7B-1%7D%20%28%5Cfrac%7By%7D%7Bx%7D%20%29)
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- ![tan^{-1} (\frac{5}{4} )](https://tex.z-dn.net/?f=tan%5E%7B-1%7D%20%28%5Cfrac%7B5%7D%7B4%7D%20%29)
The domain and the range of a function are the set of input and output values, the function can take.
- <em>The domain and the range of </em>
<em> is </em>
<em>.</em> - <em>The parent function </em>
<em> is vertically compressed by 9, then shifted down by 5 units to get </em>
<em />
<em />
Given
![g(x) = 9x^2 - 2](https://tex.z-dn.net/?f=g%28x%29%20%3D%209x%5E2%20-%202)
<u>Domain and range</u>
There is no restriction as to the input and the output of function g(x).
This means that the domain and the range are
is in interval notation
The corresponding set notation is: ![- \infty < x < \infty](https://tex.z-dn.net/?f=-%20%5Cinfty%20%3C%20x%20%3C%20%5Cinfty)
<u />
<u>The parent function</u>
We have:
![f(x) = x^2](https://tex.z-dn.net/?f=f%28x%29%20%3D%20x%5E2)
First, the parent function is vertically compressed by a factor of 9.
The rule of this transformation is:
![(x,y) \to (x,9y)](https://tex.z-dn.net/?f=%28x%2Cy%29%20%5Cto%20%28x%2C9y%29)
So, we have:
![f'(x) = 9x^2](https://tex.z-dn.net/?f=f%27%28x%29%20%3D%209x%5E2)
Next, the function is shifted down by 5 units.
So, we have:
![g(x) = f'(x) - 5](https://tex.z-dn.net/?f=g%28x%29%20%3D%20f%27%28x%29%20-%205)
![g(x) = 9x^2 - 5](https://tex.z-dn.net/?f=g%28x%29%20%3D%209x%5E2%20-%205)
Read more about functions at:
brainly.com/question/21027387