NEED HELP ASAP!Noah and Lin are each trying to solve the equation x^2-6x+10=0. They know that the solutions to x^2=-1 are i and -i, but they are not sure how to use this information to solve for x in their equation.Show how Noah can finish his work using complex numbers.

Here is Noah's work:

NEED HELP ASAP!Noah And Lin Are Each Trying To Solve The Equation X^2-6x+10=0. They Know That The Solutions

Answers

Answer 1

Let's solve your equation step-by-step.

x2−6x+10=0

For this equation: a=1, b=-6, c=10

1x2+−6x+10=0

Step 1: Use quadratic formula with a=1, b=-6, c=10.

[tex]x= -b[/tex] ± [tex]\sqrt{\frac{b^2 -4ac}{2a}[/tex]

x = −(−6)± [tex]\sqrt{\frac{(-6)^2 -4(1)(10)}{2(1)}[/tex]

x= 6± [tex]\frac{\sqrt{-4} } {2}[/tex]

x = 6± [tex](\sqrt{4})( \sqrt{-1} )[/tex] / 2

x = 6 ±  [tex](\sqrt{4})( i )[/tex] / 2

[tex](\sqrt{4}) = 2[/tex]

6 ± 2i / 2   = 3 ± i

Answer 2

Answer:

Lins

Step-by-step explanation:

Lins took less steps and solving the equation seembes more simple


Related Questions

Ford Motor Company decided against building a new plant in California because of the high cost of taxes. The state of California proposed an assessment rate of 52% of the estimated market value of the plant. The tax rate proposal was $233.00 per $1,000 of assessed value. What would Ford Motor pay in property taxes per year if it decided to build a $25 million plant?

Answers

Answer:

$5825000

Step-by-step explanation:

You just take 23.3% of the 25 million dollars silly.

Again I need help, sorry but thank you!

Answers

Answer:

B)13 pints

Step-by-step explanation:

SO first we find the unit rate

We know that in 90 minutes (hour and a half), the water leaked 6 pints form 2;30 to 4

Now So we can divide to find unit rate

6/90=1/15

So 1 pint for every 15 minutes

And now we want to know the amount it takes from 2:30 to 6:30 which is 4 hours

40 hours is 240 minutes

SO we can divide now

240/15=16

SO 16 pints leaked but the question asked for remaining water in container

So 29-16 is 13

So B)13

Need help, I’ll give brainliest if correct.

Answers

its the first one

ik this bc i just did stuff like this and im still in math mode

The price of a 7 ​-minute phone call is ​$1.75. What is the price of a 14 ​-minute phone​ call?

Answers

Answer:

$3.50

Step-by-step explanation:

14 is double 7

So the price should be double

1.75 x 2 = 3.5

(Assuming there's no base fee and the charge is purely for minutes)

3r + 6y - 2z = -6 2x + y + 4z = 19 -5x - 2y+8z = 62
solve each system of equations​

Answers

For the first equation

x + y = 152,

8.5x + 12y = 1,656

How many hats were sold?

Answers

Answer:

x = 48 and y = 104

Step-by-step explanation:

Given equations are:

[tex]x+y = 152\\8.5x+12y=1656[/tex]

From equation 1:

[tex]x = 152-y[/tex]

Putting the value of y in equation 2

[tex]8.5(152-y)+12y = 1656\\1292-8.5y+12y = 1656\\3.5y+1292 = 1656\\3.5y = 1656-1292\\3.5y = 364\\\frac{3.5y}{3.5} = \frac{364}{3.5}\\y = 104[/tex]

Now we have to put the value of y in one of the equation to find the value of x

Putting y = 104 in the first equation

[tex]x+y = 152\\x+ 104 = 152\\x = 152-104\\x = 48[/tex]

Hence,

The solution of the system of equations is x = 48 and y = 104

The value of variable which was assumed for number of hats, is the total number of hats.

Answer:

48 hats

Step-by-step explanation:

After the first round of a trivia game, Ryleigh’s score is -259 points. During the second round of the game, she earns 348 points. What is her score after the second round? Record your answer on the grid. Then fill in the bubbles.

Answers

Answer: 89

Step-by-step explanation:

You add the points of the two rounds (-259) + 348= 89

Divide four people into three rooms, in which only one room could host two people. How many ways are there to arrange them so that A, B are not in the same room

Answers

Step-by-step explanation:

AC B D

AD B C

A BC D

A BD C

hope it's right

Please help I need an equation for this graph

Answers

y=1/2x

There is no y-intercept

5) Express as a single logarithm. You do NOT need to expand the polynomials:
5 In(x - 2) + 8 In(x + 3) - 3 ln(x + 8)​

Answers

5 ln(x - 2) + 8 ln(x + 3) - 3 ln(x + 8)

ln(x - 2)⁵ + ln(x + 3)⁸ - ln(x + 8)³

since [tex]a\log_cb=\log_cb^a[/tex] (for any base c)

ln((x - 2)⁵ (x + 3)⁸ / (x + 8)³)

since [tex]\log_c(a)+\log_c(b)=\log_c(ab)[/tex] and [tex]\log_c(a)-\log_c(b)=\log_c\frac ab[/tex] (also for any base c)

What is the result of 122÷8? Use the number line to find the answer
A: 7
B:14
C:16
D:28
Please help!

Answers

Answer: I would go towards B

Step-by-step explanation:

122/8 = 15.25

This is more towards 15, so put the dot in the middle of 14 and 16

Im gonna say 14 so go towards b

Help, I’ll give brainliest if you tell me what like terms and terms are.

Answers

Answer:

Step-by-step explanation:

7x + 6 + 5

six and five both are regular numbers but the 7x is not like term

7x + 11


Which line diagram models the expression 2/3+1/6-1/2?

Answers

Answer:

1 /3

≈0.333

Step-by-step explanation:

The representation which the arrow point out 0.666...

What is number line?

A number line can be defined as a straight line with numbers placed at equal intervals or segments along its length.

given:

2/3+1 1/6-1/2

Taking LCM

=2*2/3*2+1 1/6-1*3/2*3

=4/6+7/6-3/6

=8/6

=2/3

=0.666...

So, the number that represent 0.666... is  not shown it should be a representation which the arrow point out 0.666...

Learn more about number line here:

https://brainly.com/question/19485952

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Find the length of BC

Answers

Answer:

BC=26.05

Step-by-step explanation:

by tan(X) rule

tan(61)=47/BC

BC= 47 / tan(61)

BC=26.05

Answer:

BC = 26.05

Step-by-step explanation:

Given Information :

Hypotenuse : Not given

Opposite : 47

Adjacent : BC

Angle ( θ) = 61°

Using SOHCAHTOA

[tex]Tan\: \theta = \frac{Opposite}{Adjacent} \\\\Tan \: 61 = \frac{47}{BC} \\\\1.804 = \frac{47}{BC}\\\\Cross\:Multiply\\1.804BC= 47\\\\Divide\:both\:sides\:by\:1.8 \\\\\frac{1.804BC}{1.804} = \frac{47}{1.804} \\\\BC= 26.05[/tex]

What is 4708.06 rounded up to the nearest thousandths?

Answers

are you missing a number? cause you can’t round when you don’t even have thousandths

Answer:

4708.060

Step-by-step explanation:

The third place after the decimal is the thousands place, so there is nothing to change considering we do not know anything after the six. If a number after the number after six was 5 or higher, it would be 4708.007 :)

Three students wrote equations on their dry erase boards.



Which of these students wrote an equation that is true?

Answers

Answer:

13/20 = 65%

Step-by-step explanation:

1/4 = 25%

7/10 = 70%

13/20 = 65%

Only the last one had the correct percentage.

Type the correct answer in the box.
If cos x = sin(20 + x)° and 0° < x < 90°, the value of x is
°.

Answers

Correct question is;

Type the correct answer in the box bellow: If cos x = sin(20 + x)° and 0° < x < 90°, the value of x is ...........

Answer:

x = 35°

Step-by-step explanation:

We are told that;

cos x = sin(20 + x)°

and 0° < x < 90°

From trigonometric identities, we know that;

cos x = sin (90 - x)

Applying to our question gives;

sin (90 - x) = sin (20 + x)°

Comparing both sides, we have;

90 - x = 20 + x

Rearranging;

90 - 20 = x + x

70 = 2x

x = 70/2

x = 35°

i need help with these questions asap

Answers

Answer:

11. the first one 12. the last one

Step-by-step explanation:

Answer:

Step-by-step explanation:

11 - the first option

12-the second option

Jemima receives £5 pocket money
she spends £1.75 on a magazine and 80p on a drink
a)what fraction of the pocket money is spent
b)what fraction of the pocket money does she have left

Answers

Answer:

51% of the money was spent, that is, 51/100. In conclusion, Jemina still has 49/100 of the money available.

Step-by-step explanation:

Since Jemima received $ 5 in pocket money, and spent $ 1.75 on a magazine and $ 0.80 on a drink, to determine the proportion of money he spent and the proportion he has left, the following calculation must be performed:

5 - (1.75 + 0.80) = X

5 - 2.55 = X

2.45 = X

5 = 100

2.55 = X

(2.55 x 100) / 5 = X

255/5 = X

51 = X

Therefore, 51% of the money was spent, that is, 51/100. In conclusion, Jemina still has 49/100 of the money available.

Watch help video
In an all boys school, the heights of the student body are normally distributed with a
mean of 69 inches and a standard deviation of 2.5 inches. Using the empirical rule,
what percentage of the boys are between 61.5 and 76.5 inches tall?

Answers

Answer:

99.7%

Step-by-step explanation:

99.7% of boys fall between 61.5 and 76.5

The percentage of the boys that are between 61.5 and 76.5 inches tall is 99.73%

How to determine the percentage between the range?

The given parameters are:

Mean = 69Standard deviation = 2.5

Start by calculating the z score for x = 61.5 and 76.5 using:

[tex]z = \frac{x - \mu}{\sigma}[/tex]

So, we have:

[tex]z_1 = \frac{61.5 - 69}{2.5} = -3[/tex]

[tex]z_2 = \frac{76.5 - 69}{2.5} = 3[/tex]

The percentage is then represented as:

Percentage = P(-3 < x < 3)

Using the z table of probabilities, we have:

Percentage = 0.9973


Express as percentage

Percentage = 99.73%

Hence, 99.73% of the boys are between 61.5 and 76.5 inches tall

Read more about normal distribution at:

https://brainly.com/question/4079902

#SPJ9

I HAVE A QUESTION.. so on 8 and 9, do I keep it addition or do I put it as subtraction? ALSO I NEED HELP ON 13 AND 14

Answers

Step-by-step explanation:

question 8 answer = -4

questions 9 answer = -18

pls mark my answer as brainlist plzzzz vote me also

One box has 16 apples another box has 24 lemons.

Answers

Answer:

Like the other person said there's 40 apples.

Step-by-step explanation:

but is there more to the question or..?

If logx= -2, what is x?

Answers

.01 hope this helps!!!!!!!!!!!

There were 400 people at a concert. Half of them wore yellow T-shirts, 2/10 wore gray T-shirts, and the rest wore orange T-shirts. How many people wore gray T-shirts?

Answers

Answer:

80 ppl have gray T-shirts

Step-by-step explanation:

Hope this helps!      :3

Plz mark as brainliest!

I think it’s 40. Half of 400 is 200 which is the number of yellow shirts. 2/10 of 200 is 40.

A football team won 75% of 120 games in a season. How many games is that?

Answers

Answer:

90 games

Step-by-step explanation:

Of the 120 games the football team played, they won 75% of them.

Remember that in mathematics, "of" almost always means to multiply. Here, that means we must multiply 75% by 120:

75% * 120

Remember also that % just means divided by 100, so 75% = 75 / 100. So:

75% * 120 = (75/100) * 120 = 9000/100 = 90 games

Answer: 90 games
Step by step explanation:

50% of 120 is half of it so that would be 60
10% of 120 is just 12
5% is 6
12x7=70% which is 84
Add 5% which is 6
84+6=90 so they played 90 games

This is finding exact values of sin theta/2 and tan theta/2. I’m really confused and now don’t have a clue on how to do this, please help

Answers

First,

tan(θ) = sin(θ) / cos(θ)

and given that 90° < θ < 180°, meaning θ lies in the second quadrant, we know that cos(θ) < 0. (We also then know the sign of sin(θ), but that won't be important.)

Dividing each part of the inequality by 2 tells us that 45° < θ/2 < 90°, so the half-angle falls in the first quadrant, which means both cos(θ/2) > 0 and sin(θ/2) > 0.

Now recall the half-angle identities,

cos²(θ/2) = (1 + cos(θ)) / 2

sin²(θ/2) = (1 - cos(θ)) / 2

and taking the positive square roots, we have

cos(θ/2) = √[(1 + cos(θ)) / 2]

sin(θ/2) = √[(1 - cos(θ)) / 2]

Then

tan(θ/2) = sin(θ/2) / cos(θ/2) = √[(1 - cos(θ)) / (1 + cos(θ))]

Notice how we don't need sin(θ) ?

Now, recall the Pythagorean identity:

cos²(θ) + sin²(θ) = 1

Dividing both sides by cos²(θ) gives

1 + tan²(θ) = 1/cos²(θ)

We know cos(θ) is negative, so solve for cos²(θ) and take the negative square root.

cos²(θ) = 1/(1 + tan²(θ))

cos(θ) = - 1/√[1 + tan²(θ)]

Plug in tan(θ) = - 12/5 and solve for cos(θ) :

cos(θ) = - 1/√[1 + (-12/5)²] = - 5/13

Finally, solve for sin(θ/2) and tan(θ/2) :

sin(θ/2) = √[(1 - (- 5/13)) / 2] = 3/√(13)

tan(θ/2) = √[(1 - (- 5/13)) / (1 + (- 5/13))] = 3/2

What inequality symbol does "at least" correspond to?

A. less than
B. less than or equal to
C. greater than
D. greater than or equal to

Answers

Answer:

C, if someone else gets the same answer as me then its right

Step-by-step explanation:

A scuba diver descends 0.75 meters per second. What is her change in elevation after 25 seconds?
-25.75 meters

-50.00 meters

-18.75 meters

-100 meters

Answers

Answer:

-18.75 Meters

Step-by-step explanation:

0.75 x -25 = -18.75 Meters :D

Megan cut a string into 4 equal pieces. Each piece is 4 fifths of a foot long. How many feet long was the string before Megan cut it? Enter your answer as a mixed number in the solution box.

Answers

Answer:

3 1/5 feet

Step-by-step explanation:

Let the length of the string be x:

x/4 = 4/5 x = 4*4/5x = 16/5x = 3 1/5 feet

HELP ASAP EASY MATH ***25 Points




What is the slope of the line passing through the points (-1, 3) and (4, – 7)?

A. -2

B. 3/4

C. -4/3 (1 1/3)

D. 2

Answers

The answer is a-2 cause I no
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