How to solve this problem

How To Solve This Problem

Answers

Answer 1

Answer:

Solving the radical [tex]\pm\sqrt{-81}[/tex]  we get [tex]\mathbf{\pm9 \ i}[/tex]

Step-by-step explanation:

We need to express the radical [tex]\pm\sqrt{-81}[/tex] using the imaginary unit i

Prime factors of 81 are: 3x3x3x3

and [tex]\sqrt{-1}=i[/tex]

Solving:

[tex]\pm\sqrt{-81}\\=\pm\sqrt{81}\sqrt{-1}\\=\pm\sqrt{3\times3\times3\times3}i\\ =\pm\sqrt{3^2\times3^2}i\\=\pm3\times3\ i\\=\pm9 \ i[/tex]

So, Solving the radical [tex]\pm\sqrt{-81}[/tex]  we get [tex]\mathbf{\pm9 \ i}[/tex]


Related Questions

f(x) = x^2 + 2x – 4
f(3) = ?

Answers

Answer:

11

Step-by-step explanation:

f(3)=(3)^2+2(3)-4

f(3)=9+2(3)-4

f(3)=9+6-4

f(3)=15-4

f(3)=11

Starting with 2, and i count by 8s until I reach 82, and 82 is the Nth number, what is the value of N?

Answers

Answer:

11 is N

Step-by-step explanation:

Since we know the first answer is 2, we can subtract 82 by 2. Afterwards we can divide by 8 since we are counting by 8s, this gets me 10. 10 + the first number is 11

An airport limo service charges riders a fixed charge of $15 plus
$4.00 per mile. How many miles must a rider go to have an
average cost per mile of $4.60?

Answers

Given:

An airport limo service charges riders a fixed charge of $15 plus  $4.00 per mile.

To find:

Distance in miles must a rider go to have an  average cost per mile of $4.60.

Solution:

Let x be the number of miles the rider travel.

Total charges = Fixed charges + Variable charges

According to the question,

Fixed charges = $15

Variable charges = $4x

So,  total charges

[tex]T=15+4x[/tex]

Divide the total charges by number of miles to get the cost per mile.

[tex]\text{Cost per mile}=\dfrac{15+4x}{x}[/tex]

Average cost per mile is $4.60.

[tex]4.60=\dfrac{15+4x}{x}[/tex]

[tex]4.60x=15+4x[/tex]

[tex]4.60x-4x=15[/tex]

[tex]0.60x=15[/tex]

Divide both sides by 0.60.

[tex]x=\dfrac{15}{0.60}[/tex]

[tex]x=25[/tex]

Therefore, the required number of miles is 25.

-4x+5y-3-11x-y

Does -3 have a like term?

Answers

Answer:

nope ❎ ❎ ❎ ❎ ❎ ❎ ❎ ❎

No it doesn’t, all of the other terms have a variable :)

Y’all know this anything about this?

Answers

We are given:

Parallelogram CDEF∠C = 13x - 10∠D = 5x + 10

To Find: ∠E

Concept Used:

Adjacent angles of a Parallelogram are Supplementary

Finding the value of 'x':

Since adjacent angles of a parallelogram are Supplementary:

∠D + ∠C = 180

5x + 10 + 13x - 10 = 180              [replacing the values of angle C and D]

18x = 180

x = 10                                          [dividing both sides by 18]

__________________________________________________________

Finding Measure of Angle D:

We are given that:

∠D = 5x + 10

∠D = 5(10) + 10                    [since x = 10]

∠D = 60°

__________________________________________________________

Finding the measure of ∠E:

∠D and ∠E are Adjacent angles

Since Adjacent angles are Supplementary:

∠D + ∠E = 180

60 + ∠E = 180

∠E = 120°                                  [subtracting 60 from both sides]

Hence, the measure of ∠E = 120°


In dogs, there is a hereditary deafness caused by a recessive gene, “d." A kennel owner
has a male dog (Gilbert) that she wants to use for breeding purposes if possible. The dog can
hear. what are the two possible genotypes of Gilbert?

Answers

Answer:

Use the following for questions 9-11: In dogs, there is an hereditary deafness caused by a recessive gene, "d." A kennel owner has a male dog (Gilbert) that she wants to use for breeding purposes if possible. The dog can hear. ... This can be tested by breeding the dog to a deaf female (dd).

Step-by-step explanation:

hope it worked

If you guess what my name is you get brainliest
A. John
B. Cam
C. Daniel
D. Dickface
E. Seth
F. Taylor
G. Anna.
H. Beth
I. Nerd face.

Answers

Answer:

Taylor???????????........

Answer:

I. Nerd Face

Step-by-step explanation:

to sacrifice my own life for pakistan

Answers

Yes................................

Answer:

yes.

Step-by-step explanation:

r these just free points?

**********************

Answers

Answer:

4

Step-by-step explanation:

you do 2x+2x+6+3x+1 as this is simplified then it is 7x+7=35 then you take away 7 and that is 7x=28 and then u do x=28/7 and then you do x=4 you can check by substituting X

write the first 5 composite numbers?​

Answers

Answer:

4, 6, 8, 9, 10, 12, 14, 15, 16

Step-by-step explanation:

"The first few composite numbers (sometimes called "composites" for short) are 4, 6, 8, 9, 10, 12, 14, 15, 16, ... (OEIS A002808), whose prime decompositions are summarized in the following table. Note that the number 1 is a special case which is considered to be neither composite nor prime."

hope this helps :)

HELP PLSPLSPLS WHOEVER GETS RIGHT GETS BRANNIEST !!! PLS HELP FAST!!!!!!!!!!!

Answers

Answer:

Your answer is going to be 34/7.

Step-by-step explanation:

In order to solve this problem, you are going to have to work backward. In the first part, you are trying to see what subtracted with 59/7 after you find that you add 22/7 to it. then subtract 30/7 from the sum. This gives you your answer.

59/7-19/7

40/7+22/7

64/7-30/7

34/7

can you help me with this question please

Answers

Answer:

correct answer it's A

give me a like at least please

good monke good monke dog

Answers

Answer:

very inspirational thanks

Step-by-step explanation:

Answer:

monke

Step-by-step explanation:

What is the inverse of the function f(x) = x +3?

Answers

1- First, replace f(x) with y

f(x) = x +3  ⇒ y = x + 3

2. Replace every x with a y and replace every y with an x .

y = x + 3 ⇒ x = y + 3

3. Solve the equation from Step 2 for y.

x = y + 3  ⇒ y = x-3

4 - Replace y with f⁻¹(x).

f⁻¹(x) = x-3

The inverse is f⁻¹(x) = x-3

Need help on this one please and thank you

Answers

Answer:

64x64x64=262,144

Step-by-step explanation: mark as brainest plsssssssssssssss

A. = 64.64.64 = 262,144

please help me with this one :(​

Answers

Answer:

I can assure you, that this is not that hard. but. I will help you with one of them.

Step-by-step explanation:

audience-look it up in the dictionary

it's basically a crowd of people.

sebtence- I listened to the audio of the audio book.

How many solutions does this equation have?
-3n = -4n + 7

Answers

Answer:

just one: 7 you isolate the numbers by doing -3n + 4n = 7, and u get n = 7

Answer:

2

Step-by-step explanation:

my soulstinos were Solution 1)

3

n

+

7

=

1

3

n

+

7

7

=

1

7

3

n

+

0

=

8

3

n

=

8

3

n

3

=

8

3

3

n

3

=

8

3

n

=

8

3

Solution 2)

3

n

+

7

=

1

3

n

+

7

7

=

1

7

3

n

+

0

=

6

3

n

=

6

3

n

3

=

6

3

3

n

3

=

2

n

=

2

The solution is:

n

=

8

3

and

n

=

2

Find the slope of the line graphed below.

Answers

-3/2 is the slope :)

Answer:

-3/2 I believe is the answer,

Step-by-step explanation:

Notice that the (left to right) line is going down, indicating it is negative.

Now do rise over run. Rise Is up and down, so 3, and run is left and right so 2, -3/2 is your answer, Correct me if I am wrong

Please can someone help me please
It is attached

Answers

the answer is 1! I hope this is right
Simplify the expression

(y+1)^3

Using , (a+b)^3=a^3a^2b+3ab^2+b^3expand the expression

y^3+3y^2+3y+1=
Answer

in a right triangle the length of a hypotenuse is c and the length of one leg is a, and the length of the other leg is b what is the value of b, if c=13, a=12?

Answers

Answer:

5

Step-by-step explanation:

a=12 (height)

c=13 (hypotenous)

b=? (base)

By using Pythagoras theorm

We have, hypotenous sq=base sq+height sq

Let b =base SO, base sq=hypotenous Sq-height Sq

=>base Sq =13sq-12sq

Base Sq =169-144

Base Sq =25

Base =5 (shifting the sq)....

Hope it's helpful

Please help
9/5= ?÷?
19/28=?÷?
1 3/5=?÷?

Answers

the “/“ sign means division, what kind of question even is this.

9/5= 9÷5

19/28=19÷28

So for the last one, we can turn it into an improper fraction which is:

8/5 = 8÷5

Please help I need the answer

Answers

Answer:

Please check the attached graph.

The point of intersection will be: (x, y) = (15, -2)

The solution will be:

(x, y) = (15, -2)

Hence, option (B) is correct.

Step-by-step explanation:

Please note that the point of intersection is the solution of the two lines on a coordinate plane.

Given the system of equation

[tex]\begin{bmatrix}y=\frac{2}{3}x-12\\ y=2x-32\end{bmatrix}[/tex]

Please check the attached graph,

The red line is representing the equation [tex]y\:=\:\frac{2}{3}x-12[/tex]The blue line is representing the equation [tex]y\ =\ 2x-32[/tex]

From the attached graph, it is clear that both the lines meet at the point (15, -2).

In other words,

at x = 15, y = -2

Thus, the point of intersection will be: (x, y) = (15, -2)

We already know that the point of intersection is the solution of the two lines on a coordinate plane.

Therefore, the solution will be:

(x, y) = (15, -2)

Hence, option (B) is correct.

Which sets of angles sum to 180

Answers

Answer:

All of them

Step-by-step explanation:

Can someone help me with this question

Answers

The answer is A or c I’m probs wrong

Suppose that y varies directly with x and y = 12 when x = -2. What is x when y = -6?

Answers

X=1

Explanation:
Conduct a ratio, -2/12=x/-6

You have to find the x in this ratio so you will multiply -2 and -6 together, and multiply 12 and x together and make them equal to eachother. It would look like this.
(-6)(-2)=12x
12=12x
x=1

I hope this is right and I’m sorry if I’m wrong:((

please help me please​

Answers

The answer is freaking y equal 1/5x

a loan of 38000 is made of 3% interest, compounded annualy. after how many years will the amount due reach 49000 or more

Answers

Answer:

the time period is 9 years

Step-by-step explanation:

The computation of the number of years is as follows:

As we know that

Future value = Present value × (1 + rate of interest)^number of years

$49,000 = $38,000 × (1 + 0.03)^number of years  

$49,000 ÷ $38,000 = 1.03^number of years  

tlog(1.03) = log($49 ÷ $38)

Now apply the log formula in calculator or in excel  

t = log(49 ÷ 38) / log(1.03)

= 8.6

= 9 years

Hence, the time period is 9 years

What is the quotient of 4/5 divided by 17/9

Answers

Answer:

0.42352941176

Step-by-step explanation:

hope this helps

The value of quotient will be 0.42.

What is Division method?

Division method is used to distributing a group of things into equal parts. Division is just opposite of multiplications. For example, dividing 20 by 2 means splitting 20 into 2 equal groups of 10.

Given that;

The expression is,

''4/5 divided by 17/9''

Now,

Since, The expression is,

''4/5 divided by 17/9''

Hence, After solving we get;

⇒ 4/5 ÷ 17/9

⇒ 4/5 × 9/17

⇒ 36/85

⇒ 0.42

Thus, The value of quotient = 0.42

Learn more about the divide visit:

brainly.com/question/844312

#SPJ2

Given the linear function f(x) = 3x + b. If b is increased by 5, how would the line shift?

Answers

Answer:

the line would move up five units because b is the y intercept, and the y intercept determines the position of the line, not the look or slope of the line

Answer:

THE LINE WOULD MOVE UP 5 UNITS

Step-by-step explanation:

Cal plans to paint a wall that is 9 feet tall and 9 feet long. He buys a can of paint that covers 100 square feet. Which of the following statements apply?

He will have half a can of paint left over.
He will have less than half a can of paint left over.
He will NOT have enough paint.
He will have exactly enough paint.

Answers

Answer:

D

Step-by-step explanation:

that is 100-81

=19

meaning the paint shall be enough

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