What's (6+5i)(6-5i) using the foil method

Answers

Answer 1

Answer:

Step-by-step explanation:

[tex]Remember:\\(a+b)(a-b)=a^2-b^2\\\\(6+5i)(6-5i)=6^2-(5i)^2=36-(-1)*25=36+25=61\\[/tex]


Related Questions

Which of the following is equal to square root of 3 and square root of 6.

Answers

Answer:

the answer is the second option which is 6⅓

Answer:

6^1/6

Step-by-step explanation:

Rewriting with the exponents as fractions

(6^1/3) ^1/2

We know a^b^c = a^(b*c)

6^(1/3*1/2)

6^1/6

What is the surface area of the rectangular prism formed from this net?
O A. 10.5 in.2
B. 16 in.2
C. 16.5 in.2
Ο Ο Ο
OD. 18 in.2
E 32.5 in.2

Answers

E is the answer to this question

PLS HELP ASAP!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! LOOK IMAGE FOR OPTIONS
Which table represents a direct variation function?

Answers

This means that as x increases, y increases and as x decreases, y decreases
So answer is the last option (last table)

Find the missing lengths of the sides.

A) a = 6^3 ft, b = 6^3 ft

B) a = 12 ft, b = 12 ft

C) a = 6 ft, b = 6 ft

D) a = 6 ft, b = 6^2 ft

Answers

Answer:

The choose B) a=12, b=12

Step-by-step explanation:

sin45= a/12√2 —> a=12

cos 45= b/12√2 —> b=12

I hope I helped you^_^

Write the equation of the line in fully simplified slope- intercept form .

Answers

Slope (6-1)/(0-1) = 5/(-1) = -5
Y -6=-5(x-0)
Y-6= -5x
Y = -5x + 6

Please Help! I am so confused. I will give you the brainiest and a lot of points.
Please show work

Answers

Read each number from top to bottom. Each digit is in base 20, and as I pointed out in another question of yours, 1 bar = 5, 1 dot = 1, and disk = 0.

(47) Only 1 digit here, with 2 bars and 4 dots. So this is 14.

(49) 3 digits, in order from top to bottom: 19, 0, 6. So this number is

[19]06₂₀ = 19×20² + 0×20¹ + 6×20⁰ = 7606

(51) 3 digits: 8, 8, 8.

888₂₀ = 8×20² + 8×20¹ + 8×20⁰ = 3368

(53) 4 digits: 2, 0, 0, 11.

200[11]₂₀ = 2×20³ + 0×20² + 0×20¹ + 11×20⁰ = 16011

(55) 4 digits: 10, 10, 0, 10.

[10][10]0[10]₂₀ = 10×20³ + 10×20² + 0×20¹ + 10×20⁰ = 84010

(57) 6 digits: 5, 10, 0, 6, 2, 3.

5[10]0623₂₀ = 5×20⁵ + 10×20⁴ + 0×20³ + 6×20² + 2×20¹ + 3×20⁰ = 17602443

(59) 6 digits: 10, 5, 0, 0, 11, 4.

[10]500[11]4₂₀ = 10×20⁵ + 5×20⁴ + 0×20³ + 0×20² + 11×20¹ + 4×20⁰ = 32800224

Juan Carlos grew 2.79 inches last year. Which shows a way to represent the value of the 9 in this number?

Answers

Answer:

0.09

Step-by-step explanation:

hope it helps!!!!!!

Use exponents to rewrite 27.
A. 93
B. 39
C. 9 + 9 + 9
D. 23
E. 33

Answers

Answer:

3³  = 27

Step-by-step explanation:

I'm guessing you need answer E

Your average bi-weekly net pay is $489.00. What is 15% of your average monthly net pay? (1 point)
$146.70
$158.93
$160.13

Answers

Bi weekly means you get paid every 2 weeks so you would get two paychecks per month.

Monthly net pay = 489.00 x 2 = $968.00

Multiply monthly by 15%

968 x 0.15 = $146.70

Answer: $146.70

If Your average bi-weekly net pay is $489.00. Your average monthly net pay is:$146.70.

Average monthly net pay

First step

Monthly net pay=$489.00×2

Monthly net pay=$968

Second step

Average monthly net pay:

Average monthly net pay=$968×15%

Average monthly net pay=$146.70

Therefore your average monthly net pay is:$146.70.

Learn more about average monthly net pay here:https://brainly.com/question/25273589

solve for c
ad + bc = 2

Answers

Answer:

c = (2 - ad) / b

Step-by-step explanation:

Subtract both sides by ad

bc = 2 - ad

Divide both sides by b

c = (2 - ad) / b

the score analysis of a school show the following.
180student register for Economics, 90 student Economics and political science,10 student Economics only, 150 student Economics and Geography, 120 student political science and Geography, 210 Geography, total number of students that register for the subjects= 250. find the number of students who register for.
1. political science
2. political science and Geography but not econs
3. Economics and political science but not Geography ​

Answers

Answer:

Economics and political science but not Geography

is right answer i think

Find the greatest common factor of these two expressions.
28xy8v7 and 14x6v3

Answers

9514 1404 393

Answer:

  14xv^3

Step-by-step explanation:

Coefficients are 28 and 14, which have a GCF of 14.

x exponents are 1 and 6, so the GCF is x^1 = x

y exponents are 8 and 0, so the GCF is y^0 = 1

v exponents are 7 and 3, so the GCF is v^3

The GCF of the two terms is the product of the factors just found:

  14xv^3

Which is the graph of f(x) = 100(0.7)?

Answers

Answer:

70; The following graph is simply a horizontal line at the value 70.

Step-by-step explanation:

Answer:

Graph A. On a coordinate plane, a curve approaches y = 0 in quadrant 1 and curves up into quadrant 2. It goes through (2, 49) and (0, 100).

Step-by-step explanation:

Edge

Someone please help!
-it is a 4 digit number.
-the vaule of the digit in the thousands place is 10 times greater than the value of the digit in the hundreds place.
-the least digit is in the tens place.
-the sun of the digits is 19. -the digit in the ones place is 4 more than the digit in the hundreds place.
-whats the mystery number?

Answers

Answer:

5539

Step-by-step explanation:

You should conclude that the number in the thousands place and the one in the 100s place are the same.

x * 1000 + x * 100 + y + x + 4

So you could sum the digits as

3x + y + 4 = 19   Subtract 4 from both sides

3x +  y = 15

x can be six           That means y = 1 which is OK

x can be five          That means y = 3 which is OK

Now we run into a little grief. Can x be 4? No

x cannot be 4          that would mean that y = 19 - 12 = 7 The tens digit is too big.

Come to think of it, x cannot be 6 because then the units digit will be 10 -- not possible.

So the answer is

1000*5 + 100*5 + 10*3 + 9

5539 is the answer.

Thanks for posting.

We want to find a 4-digit number that meets some given conditions. We will find two, which are:

4438 and 5509

A general 4-digit number can be written as:

a*1000 + b*100 + c*10 + d

Where a, b, c, and d are single-digit numbers.

a is the thousands digit

b is the hundreds digit

c is the tens digit

d is the units digit.

Here we know that:

"the value of the digit in the thousands place is 10 times greater than the value of the digit in the hundreds place."

So the first term is 10 times the second term, this means that:

(a*1000) = 10*(b*100)

a*1000 = b*1000

a = b

-the least (the smaller one) digit is in the tens place.

so:

c < a, b, d

- The sun of the digits is 19.

So:

a + b + c+ d = 19

-The digit in the ones place is 4 more than the digit in the hundreds place.

so:

d = b + 4

Now we can rewrite all of these conditions as:

b = ac < b, a, da + b + c + d = 19d = b + 4

Using the first one, we can replace all the b's by a's in the other conditions, so we have:

c <  a, d2a + c + d = 19d = a + 4

Now we can use the third equation and replace it in the second one to get:

2a + c + d = 19

2a + c + (a + 4) = 19

3a + c + 4 = 19

3a + c = 19 - 4

3a + c = 15

Now we need to remember that:

c < a.

So we can try with different values of a.

For example, if a = 3, then:

3*3 + c = 15

9 + c = 15

c = 15 - 9 = 6

here we have c > a, so we can discard this.

If a = 4, then:

3*4 + c = 15

12 + c = 15

c = 15 - 12 = 3

c < a

From this we can construct our number:

a = b = 4

c = 3

d = b + 4 = 4 + 4 = 8

Then the number is:

4438

If a = 5, then:

3*5 + c = 15

15 + c = 15

c = 15 - 15 = 0

c < a

So we also can have:

a = b = 5

c = 0

d = b + 4 = 9

Such that the number is:

5509

And if a is equal to or larger than 6 we have problems, because

3*6 + c = 15

18 + c =15

c = 15 -18 = -3

And c can't be a be a negative number.

So we can conclude that we found two 4-digit numbers that meet all the conditions, and these are:

4438 and 5509

If you want to learn more, you can read:

https://brainly.com/question/19902993

No link answers please solve honestly

Answers

Answer:

y = 78

Step-by-step explanation:

66 + 4 = 70 + 4 = 74 + 4 = 78

-12 + 3 = -9 + 3 = -6 + 3 = -3

x = -3

y = 78

I need help ASAP!!! Thanks​

Answers

okay so it’s pretty self explanatory. i will only give you the answer to the first one. what it is asking is to shade in 3/10 of the square. you will shade three bars in. for the decimal it will be 0.3 because where the three is in the decimal is the tenths place of a decimal

Find the simple interest.
Principal
Rate 11% principle 9000 time1 1/2 years what's the amount of simple interest earned is

Answers

Answer:

Here is your answer. Hope this helps you!

Answer:

Rate(R)= 11%

Times(T)=11/2

Principle(P)= 9000

We know that,

SI = P×T×R÷100

= 9000×11/2×11÷100

=9000×5.5×11÷100

= 544500÷100

=5445

Hence, the required simple interest is 5445.

Ans

Find the midpoint, M, of AB.
А
M
B
[?]
22

Answers

Answer:

M=11

Step-by-step explanation:

Answer:

11

Step-by-step explanation:

To find the midpoint ( or middle) we take the average of the endpoints

(A+B)/2 = (0+22)/2 = 22/2 = 11

Name prime numbers 1-30

Answers

Answer:

2,3,5,7,11,13,17,19,23 and 29

Step-by-step explanation:

hope this helps

What value of x makes the equation 3(x-6) – 8x = -2 + 5(2x + 1) true? Show your work.

Answers

9514 1404 393

Answer:

  x = -1.4

Step-by-step explanation:

  3(x-6) -8x = -2 + 5(2x + 1)

  3x -18 -8x = -2 +10x +5 . . . . . . . eliminate parentheses

  -21 = 15x . . . . . . . . . . . . . . add 5x -3 and collect terms

  x = -21/15 = -7/5

  x = -1.4

__

Check

  3(-1.4 -6) -8(-1.4) = -2 +5(2(-1.4) +1) . . . substitute for x

  3(-7.4) +11.2 = -2 +5(-2.8 +1)

  -22.2 +11.2 = -2 +5(-1.8)

  -11 = -2 -9 . . . . . true

Which expressions are equivalent? Check all that apply. 39 34 –92 99 Which expressions are equivalent? Check all that apply. 39 34 –92 99 811

Answers

Answer:

3 to the fourth power and 81 to the first power.

Step-by-step explanation:

i took he quiz

The equivalent expressions are 3^4 and -9^2

How to determine the equivalent expressions?

To determine the equivalent expressions, we simply solve the options.

So, we have:

3^9 = 19683

3^4 = 81

-9^2 = 81

9^9 = 387420489

From the above computation, we have:

3^4 = 81 and -9^2 = 81

Hence, the equivalent expressions are 3^4 and -9^2

Read more about equivalent expressions at:

https://brainly.com/question/2972832

Express the following as the sum of two odd primes
a) 36
b)68
c)24
d)42

Answers

Answer:

b)68

Step-by-step explanation:

i think helping you...say correct or no...

find the radius of a circle which has a sector of area 9 square meters determined by a central angle 1/3 radian​

Answers

Answer:

L = length of arc , R = radius

radian angle = L / R

L = R* radian angle

L = R * 1/3

L = R/3 #1

Area of sector = 1/2 L*R

By substitution using #1

Area of sector = 1/2 * R/3 * R

9 = R^2 /6

R^2= 6*9

R^2= 36

R =✓36

R = 6

Divide 3m 80cm of ribbon in the ratio of 1/3 : 3/4 : 1/2 what is the result?​

Answers

Answer:

80 cm / 180 cm / 120 cm

Step-by-step explanation:

the smallest common multiple of 3, 4 and 2 is 12.

so, to be able to truly compare these fractions we need to bring all denominators to .../12.

1/3 = 4/12

3/4 = 9/12

1/2 = 6/12

in total we have therefore 19 (4+9+6) equally large parts of the ribbon that are then combined :

4 parts for the first segment.

9 parts for the second segment

6 parts for the third segment.

so, one part is

380 cm / 19 = 20 cm

therefore the first segment of the ribbon is

4×20 = 80 cm long

the second segment

9×20 = 180 cm long

the third segment

6×20 = 120 cm long

4/6+1/4 =

Pliss help me​

Answers

4/6 can be 16/24
1/4 can be 6/24
when you add it equals 22/24 simplified into 11/12

Answer:

11/12.

Step-by-step explanation:

The lowest common denominator of 6 and 4 is 12, so we have

4/6 + 1/4

=  4*2 / 6*2 + 1*3 / 4*3

= 8/12 + 3/12

= 11/12.

Evaluate (solve) the expression 4x + 8 when x = 2

Answers

Hi ;-)

[tex]x=2\\\\4x+8=4\cdot2+8=8+8=\boxed{16}[/tex]

Step-by-step explanation:

4x + 8

4 × 2 + 8

8 + 8

16

Therefore its 16.

The sum of the first n terms of an arithmetic sequence is n/2(4n + 20).
a) Write down the expression for the sum of the first (n − 1) terms.
b) Find the first term and common difference of the above sequence.

Answers

Answer:

(a).

[tex]S_{n} = \frac{n}{2} (4n + 20) \\ \\S _{n - 1} = \frac{(n - 1)}{2} (4n - 4 + 20) \\ \\ S _{n - 1} = \frac{(n - 1)}{2} (4n + 16) \\ \\S _{n - 1} = \frac{(n - 1)(4n + 16)}{2} \\ \\ { \boxed{S _{n - 1} = {2 {n}^{2} + 6n - 8}}} \\ [/tex]

(b).

from general equation:

[tex]S _{n - 1} = \frac{(n - 1)}{2} (4n + 16)[/tex]

first term is 4n

common difference:

[tex]16 = \{(n - 1) - 1 \}d \\ 16 = (n - 2)d \\ d = \frac{16}{n - 2} [/tex]

Fred and Gina are playing tennis. The first player to win 2 sets wins their match. Fred has a 3/5 chance to win each set while Gina has a 2/5 chance. What is the probability that the match goes three sets until someone wins?

Answers

Answer:

60/125 which can be reduced to 12/25

Step-by-step explanation:

Gina wins

2/5 * 2/5 = 4/25

3/5 * 2*5 * 2/5 = 12 /125

2/5 * 3/5 * 2/5 = 12/125

Fred Wins

3/5 * 3/5 = 9/25

2/5 * 3/5 * 3/5 = 18/125

3/5 * 2/5 * 3/5 = 18/125

P(3 sets) = (18 + 18 + 12 + 12)/125 = 60/125

P(2 sets) = (20 + 45)/125 = 65/125

I found the probability of 2 sets so I could add the results together to see if the probability totals 1. It does. This question is done correctly.

Help ASP!
Sarah has 80 pennies. Lou
has 10 times as many
pennies as Sarah.
Joe has 1/10 as many
pennies as Sarah. How many
pennies do Lou
and Joe have together?

Answers

Lou has 800 pennies
Joe has 8 pennies
Therefore they have 808 pennies

Kelsey deposited $3,600 in a bank account with annual interest rate 4.25%. How much interest was earned in 5 years?

Answers

Answer:

765

Step-by-step explanation:

1)4.25/100=0.0425

2)0.0425*3600=153

3)153*5=765

Other Questions
Why was life for most new immigrants difficult? on a piece of paper graph y Which option accurately describes the impact of a scientific innovation during the Renaissance? NEED HELP NOW! To say that income inequality exists in this day and age is an insult to the women who have labored so tirelessly for their accomplishments. What makes the reasoning in this excerpt fallacious? The excerpt oversimplifies the issue of pay O discrimination by implying that only women should be allowed to argue for equal pay. The excerpt personally attacks women who are proud of their professional accomplishments. The excerpt makes a false leap in logic by implying O that acknowledging pay discrimination negates women's achievements. The excerpt evades the real issue that some women do not want to work hard to earn equal pay. 5. A female client in labor is receiving ceftaroline. She suddenly complains of trouble breathing, weakness, andnausea. The nurse should recognize that these signs are usually indicative of impending:Gebrows frA. Amniotic fluid embolismB. Pulmonary embolismC. AnaphylaxisD.Bronchospasm 1. At a recent conference at the University of Chicago , David Walsh of the National Institute on Media and the Family presented a paper titled Video Game Violence and Public Policy.The paper stated that 79% of American children now play computer or video games on a regular basis. Children between the ages of seven and 17 play for an average of eight hours a week.The growth of electronic games has not been without controversy, however. The subset of games that feature violence, gore, and antisocial behavior has raised concern among parents, educators, child advocates, medical professionals, and policy makers.According to Walsh, research shows reason for concern:Exposure to violent games increases physiological* arousal. . . .Heart rate . . . and . . . blood pressure all increase when playing violent games. . . . These are the same types of physiological reactions bodies have when engaged in a fight.Exposure to violent games increases aggressive emotions. In one study, students who were more addicted to video games were significantly more likely to be in a bad mood before, during, and after play than were non-addicted students.In a study of 8th and 9th graders, students who played more violent video games were also more likely to see the world as a hostile place, to get into frequent arguments with teachers, and to be involved in physical fights.*physiological: relating to the bodys normal functions and processes.Using the information presented in the paper, experiences from your own life, and/or other information you have read, write an article for your school newspaper about the negative effects of playing violent video games 16. An empty jar has a volume of8x^2 + 2x - 4 cubic inches. Josh pours4x^2 3x +2 cubic inches of waterinto the jar. How many more cubicinches of water could the jar stillhold? X squared can be combined with Xtrue or false Conjugations: me acuesto, me bao, me cepillo los dientes, me despierto, me ducho, me lavo la cara, me levanto, me pongo la ropa, me seco, me visto. Speed is measured by what SI units? Please help with steps. Will give brainliest. Simplify 39. Increased ______can make a stressed driver worry excessively, driving tooslow or attempting to avoid dangers that don't exist.A. nervousnessB. anxietyC. alertnessD. A and B The price of an item has dropped to $ 27 today. Yesterday it was $60. Find the Percentage decrease. 4(y-3) + 3(y+4). solve the equation fast and ill mark you brainliest 62.9042 to the nearest hundredth Plsssss make a scenario Have you or someone that you know will ever had a negative or false information about you/them posted into social media by someone else? Describe the situation if you dont have any examples for this question describe a scenario that could happen (this answer must be at least four sentences) In two atoms atom 'X' looses two electrons and atom 'Y' gains two electrons to form a compound 'XY'.Name the bond formed between X and Y.With two properties of the compound.Please help me and i will mark you as brainleist. Please help me ASAP 3 2/9 - 2 1/2 pls help me I stuck it it due today For 30 minutes you do a combination of walking and jogging At the end of your workout your screen displays 2.5 miles you know that you walk 0.05 miles per minute and jog 0.1 per minute how much time were you walking. Jogging.Please write the equation and solve it. Thank youFirst person to answer will get brainliest