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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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3 0
3 years ago
The solution to a system of equations is (6-3). Choose two equations that might make up the system. Y= -3x+6 Y=2x-9 y=-5x+27 y=2
MakcuM [25]

Answer:  C) y = -5x + 27     and       D) y = 2x - 15

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Substitute x = 6 and y = -3 into each of the given equations to see which result in a TRUE statement.

A) y = -3x + 6

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B) y = 2x - 9

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C) y = -5x + 27

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  -3 = -3    TRUE!

D) y = 2x - 15

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6 0
3 years ago
Your coach bought 12 hamburgers and 6 large fries for your team for
Leni [432]

Answer:

$1.5

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4 0
2 years ago
Read 2 more answers
Please Help!!!!!!
soldier1979 [14.2K]


She travels, say 4 miles, stops gets gas and travels the rest of the way, 2 miles. She shops and then rides 6 miles back home without stopping. 6 miles there, 6 miles back. 6+6= 12!

She travels 12 miles! Hope this helps!

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3 years ago
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