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3 years ago

Write this expression as a complex number in standard form

Mathematics

2 answers:

amm18123 years ago

8 0

Answer:

$81+144i$

Step-by-step explanation:

$(-3\sqrt{-81})( -5+\sqrt{-9})+ 9i\\\text{Simplify the radicals}\\\sqrt{-81}=\sqrt{-1*81}=\sqrt{81}\cdot\sqrt{-1}=9i\\\sqrt{-9}=\sqrt{-1*9}=\sqrt9\cdot\sqrt{-1}=3i\\=(-3(9i))(-5+3i)+9i\\(-27i)(-5+3i)+9i\\\text{Distribute}\\=135i-81i^2+9i\\i^2=-1\\=135i+9i-81(-1)\\=81+144i$

Radda [10]3 years ago

3 0

The answer is 81+144i

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Suppose the average yearly salary of an individual whose final degree is a master's is $41 thousand less than twice that of an

charle [14.2K]

Answer:

The average salary of master's degree people is $ 63,000 And

The average salary of bachelor's degree people is $ 52,000

Step-by-step explanation:

Given in question as :

Let the average salary of master's degree people = $ M And

Let the average salary of bachelor's degree people = $ B

According to question ,

The average salary of master's degree people + The average salary of bachelor's degree people = $115,000

Or , $ M + $ B = $ 115,000 ............. A

Again ,

$ M = 2 × $ B - $ 41,000 ............... B

From eq A and eq B

(2 × $ B - $ 41,000 ) + ( $ B ) = $ 115,000

Or, 3×$ B = 156,000

∴ B = $\frac{156,000}{3}$ = $ 52,000

And M = $ 115,000 - $ 52,000

∴ M = $ 63,000

Hence The average salary of master's degree people is $ 63,000 And

The average salary of bachelor's degree people is $ 52,000 Answer

5 0

3 years ago

Help meeeeeeee please :(.

vodomira [7]

Answer:

$x^{3} -5x^{2} -6x +8 \frac{-2}{x + 3}$

Step-by-step explanation:

$x^{3} -5x^{2} -6x +8 \frac{-2}{x + 3}$

x + 3 / $x^{4} - 2x^{3}-21x^{2} -10x +22$

-( $x^{4} + 3x^{3}$ )

- $5x^{3} -21x^{2} -10x +22$

-( $-5x^{3} -15x^{2}$ )

$-6x^{2} -10x +22$

-( $-6x^{2} -18x$ )

8x +22

-(8x + 24)

$\frac{-2}{x + 3}$

4 0

4 years ago

6 pounds of apples and 3 pounds of oranges cost 24 dollars.5 pounds of apples and 4 pounds of oranges cost 23 dollars. Set up a

vitfil [10]

Answer:cost of each pound of apple= $3

And cost of each pound of orange =$2

Step-by-step explanation:

Step 1

Let cost of apples = x

And cost of Oranges =y

Let 6 pounds of apples and 3 pounds of oranges cost 24 dollars be represented as

6 x + 3y= 24----- equation 1

Also, Let 5 pounds of apples and 4 pounds of oranges cost 23 dollars be represented as

5x+ 4y= 23----- equation 2

Step 2

6 x + 3y= 24----- equation 1

5x+ 4y= 23----- equation 2

Using substitution method to solve the equation

6 x + 3y= 24

24-6x=3y

y= 24-6x/3 = 8-2x

Y= 8-2x

Substituting the value of y= 8-2x into equation 2

5x+ 4( 8-2x)= 23

5x+ 32 -8x= 23

32-23= 8x-5x

9=3x

x=9/3

x=3

Putting the value of x= 3 in equation 1 and solving to find y

6 x + 3y= 24

6(3) +3y= 24

18+3y=24

3y= 24-18

3y=6

y=6/3= 2

Therefore the cost of each pound of apple= $3

And cost of each pound of orange =$2

8 0

3 years ago

Pls help asap!! no trolls

denis23 [38]

Answer:

Step-by-step explanation:

7 0

3 years ago

What is 6 divide by 5

lara31 [8.8K]

Hey there!

6 divided by 5 = 1.2

Hope this helps!
Have a great day! (:

7 0

3 years ago