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adoni [48]
3 years ago
8

What is the polar form of -4+5i?

Mathematics
1 answer:
kifflom [539]3 years ago
5 0

z= r(cosθ+i sinθ) is the required polar form where, r = √41 and θ =π- tan^{-1} (\frac{5}{4} )

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} )

So, the polar form will be z=r(cosθ+i sinθ)

Now,

r² =(-4)²+5² = 41

or, r = √41

θ =π- tan^{-1} (\frac{5}{4} ) [ 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} )

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When a scatterplot is created from a table of values, which statement is correct?
jeka94

Answer: A is correct option .It is possible for two points to have the same x-coordinate and the same y-coordinate.


Step-by-step explanation:

A scatter plot is a mathematical diagram or 2-dimensional data visualization using Cartesian coordinates to display values for  two variables for a set of data by using dots to represent the values occurred for two different variables - one plotted along the x-axis and the other plotted along the y-axis. They show how variables are correlated thats why they are also called correlation plot. For example we have scatter plot with variables as study time and exam grade, so it can happen that 2 students study for same time and got same grade.

Therefore, It is possible for two points to have the same x-coordinate and the same y-coordinate.


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3 years ago
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If g(x)=−3x+9 g ( x ) = − 3 x + 9 and f(x)=2x+7 f ( x ) = 2 x + 7 , what is the value of g(f(x)) g ( f ( x ) ) ?
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Hope this helps, If it is pls Brainliest !!
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NEED HELP ASAP!! IF YOU ANSWER RIGHT YOU GET BRAINLIEST!!!!!​
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