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jok3333 [9.3K]
3 years ago
7

Find F(-5) if f(x)=6

Mathematics
1 answer:
kirza4 [7]3 years ago
8 0

Answer:

on seconded I will come back and edit my answer

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I'll give brainliest ​
Tpy6a [65]

Given:

\angle a and \angle b are complementary angles.

\angle a=32^\circ

To find:

The measure of \angle b.

Solution:

According to the definition of the complimentary angles, the sum of two complementary angles is always 90 degree.

It is given that, \angle a and \angle b are complementary angles. So,

\angle a+\angle b=90^\circ

32^\circ+\angle b=90^\circ

\angle b=90^\circ-32^\circ

\angle b=58^\circ

Therefore, the measure of \angle b is 58°.

3 0
3 years ago
What do you call it when police interrogate a cows husband
aniked [119]
The answer is
"Question-a-bull"
5 0
3 years ago
If f(x) = 2(3^x) + 1, what is the value of f(2)?<br> (1) 13<br> (3) 37<br> (2) 19<br> (4) 54
DanielleElmas [232]
54 that’s the answer
6 0
3 years ago
Read 2 more answers
Help me soon due by 11 it 10:40!!!
Talja [164]

Answer:

1/4 <u>divided by</u> 1/3

1/3 <u>divided into</u> 1/4

<u>How many</u> 1/3 <u>are in</u> 1/4

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
What is (2-2i√3)4 equivalent to?
maxonik [38]

a. (2 - 2i√3)⁴ in polar form is 256(cos(-4π/3) + isin(-4π/3)) = 256cis(-4π/3)

b. (2 - 2i√3)⁴ in rectangular form is -128 + 128√3

To answer the question, we need to know what complex numbers are

<h3>What are complex numbers?</h3>

Complex numbers are numbers of the form z = x + iy

<h3>a. Complex numbers in polar form</h3>

Complex numbers in polar form z = r(cosθ + isinθ) where

  • r = √(x² + y²) and
  • θ = tan⁻¹(y/x)

Given that z = (2 - 2i√3)⁴ =

So,

  • x = 2 and
  • y = -2√3

So, converting to polar form

r = √(x² + y²)

= √[2² + (-2√3)²]

= √[4 + 4(3)]

= √[4 + 12]

= √16

= 4

θ = tan⁻¹(y/x)

θ = tan⁻¹(-2√3/2)

θ = tan⁻¹(-√3)

θ = -π/3

So, z = r(cosθ + isinθ)

= 4(cos(-π/3) + isin(-π/3))

<h3>Powers of complex numbers</h3>

A complex number z raised to power n is zⁿ = rⁿ(cosnθ + isin(nθ)]

z⁴ = (2 - 2i√3)⁴

= r⁴(cos4θ + isin4θ)

= 4⁴(cos(4 × -π/3) + isin(4 × -π/3))

= 256(cos(-4π/3) + isin(-4π/3))

= 256cis(-4π/3)

(2 - 2i√3)⁴ in polar form is 256(cos(-4π/3) + isin(-4π/3)) = 256cis(-4π/3)

<h3>b. Complex numbers in rectangular form</h3>

The complex number z =  r(cosθ + isinθ) in rectangular form is z = x + iy where

  • x =  rcosθ and
  • y =  rsinθ

Given that z⁴ = 256(cos(-4π/3) + isin(-4π/3)) in rectangular form,

x = rcosθ

= 256(cos(-4π/3)

= 256cos(-4 × 60°)

= 256cos(-240)

= 256cos(240)

= 256 × -1/2

= -128

y =  rsinθ

= 256sin(-4π/3)

= 256sin(-4 × 60°)

= 256sin(-240)

= -256sin240

= -256 × -√3/2

= 128√3

So, z⁴ = x + iy

= -128 + 128√3

So, (2 - 2i√3)⁴ in rectangular form is -128 + 128√3

Learn more about complex numbers in polar form here:

brainly.com/question/9678010

#SPJ1

7 0
2 years ago
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