Multiply (6 − 7i)(3 − 6i).

Answers

Answer 1

Answer:

-24 - 57i

Step-by-step explanation:

i'm assuming that this is a question about imaginary numbers and that i²= -1

we can expand the binomial by using the FOIL method (see attached)

(6 − 7i)(3 − 6i)

= (6)(3) + (6)(-6i) + (-7i)(3) + (-7i)(-6i)

=18 - 36i - 21i + 42i²   (recall that i²= -1)

= 18 - 57i + 42(-1)

= 18 - 57i - 42

= -24 - 57i

Multiply (6 7i)(3 6i).

Related Questions

PLZ HELP ASPPP I WILL MARK YOU AS BRAINLIST
If PQ=29 and QR=51 find PR.

Answers

It would be 80 I’m pretty sure?
(The answer is PR=80) The reasoning for this is you have to add PQ and QR together in order to get PR

If a circle has a radius of 4 cm, what is the circumference? Enter a numerical value only.

Answers

25.12 sorry if it’s wrong

Answer:

c≈25.13

Step-by-step explanation:

If the sales tax of a state is 7.55% what is the price of a $125 pair of shoes?

Answers

Answer:

the shoes cost $134.43 with tax

PLEASE HELP!!! TRIG, Theres a picture!!

Answers

Answer:

The answer is option C

Step-by-step explanation:

[tex]3( { \tan }^{2} \theta - { \sec }^{2} \theta)[/tex]

Using trigonometric identities

That's

[tex]1 + { \tan }^{2} \theta = { \sec }^{2} \theta[/tex]

Rewrite the expression

That's

[tex]3({ \tan }^{2} \theta - (1 + { \tan }^{2} \theta)) \\ [/tex]

Simplify

We have

[tex]3({ \tan }^{2} \theta - 1 - { \tan }^{2} \theta) \\ 3({ \tan }^{2} \theta - { \tan }^{2} \theta - 1)[/tex]

So we have

3( - 1)

We have the final answer as

- 3

Hope this helps you

-5(4x-2)=-2(3+6x) multi step equation

Answers

Answer:

X=2, please mark me brainliest

Step-by-step explanation:

−5(4x−2)=−2(3+6x)

(−5)(4x)+(−5)(−2)=(−2)(3)+(−2)(6x)(Distribute)

−20x+10=−6+−12x

−20x+10=−12x−6

Step 2: Add 12x to both sides.

−20x+10+12x=−12x−6+12x

−8x+10=−6

Step 3: Subtract 10 from both sides.

−8x+10−10=−6−10

−8x=−16

Step 4: Divide both sides by -8.

−8x

−8

=

−16

−8

x=2

If a and B are the zeros of the quadratic polynomial f(x) = x2- 5x + 4 find the value of 1/a+1/b-2ab

Answers

Answer:

-27/4

Step-by-step explanation:

Given the quadratic polynomial given as g(x) = x²- 5x + 4, the zeros of the quadratic polynomial occurs at g(x) = 0 such that x²- 5x + 4 = 0.

Factorizing the resulting equation to get the roots

x²- 5x + 4 = 0

(x²- x)-(4 x + 4) = 0

x(x-1)-4(x-1) = 0

(x-1)(x-4) = 0

x-1 = 0 and x-4 = 0

x = 1 and x = 4

Since a and b are known to be the root then we can say a = 1 and b =4

Substituting the given values into the equation  1/a+1/b-2 ab , we will have;

= 1/1 + 1/4 - 2*1*4

= 1 + 1/4 - 8

= 5/4 - 8

Find the Lowest common multiple

= (5-32)/4

= -27/4

Hence the required value is -27/4

what are the solutions to the quadratic equation?2x^2+7x+6=0​

Answers

Answer:

x=-3/2,-2

using the quadratic formula 2x² is your a 7x b and 6 your c you want to substitute those numbers into the equation and then solve to find the solutions

The first five terms in a pattern are shown below.

3, -3, -9, -15, -21, ...

If the pattern continues, which expression can be used to find the nth term?

Answers

Answer:

-45 because it is the nth term in the sequence just trust me.. ;)  Please vote Brainliest!

Step-by-step explanation:

Answer:

The answer is -45

Step-by-step explanation:

A cylindrical cup has a circular base of radius 7cm and height 10cm, calculate its curved surface area. take pie as 3.1​

Answers

Answer:

264.89cm^2

Step-by-step explanation:

CSA of cylinder=πrl

= 3.1 × 7 ×√149

= 264.89cm^2

Which property was used to simplify the expression? 3c + 9 + 4c = 3c + 4c + 9

Answers

Answer:

Step-by-step explanation:

subtraction

Answer:

distributive property

Step-by-step explanation:

3c+ 9 + 4c = 3c + 4c + 9 A: distributive property

Match the expression on the left with the expression on the right with the same sum or product.
5.9
4 +3
3 + 4
(7.2).5
7 (
25)
9.5
3+ (4+5)
(3 + 4) + 5

Answers

Answer:

5 * 9 --> 9 * 5

3 + (4+5) --> (3+4) + 5

3 + 4 --> 4 + 3

7 * (2*5) --> (7*2) * 5

Step-by-step explanation:

If you look at them correctly, you can see where this is going. This question of matching is using commutative property.

Your Welcome :)

Answer:

5.9 * 9 —— 9*5
7*(2*5) —— (7*2)*5

3+(4+5) ——(3+4)+5

3+4—— 4+3

Step-by-step explanation:

got the question correct

Which expression is equivalent to 3 - 2
Choose 1 answer:
А
--3
+
-2
B
D
- 2

Answers

Answer:

-2+3

Step-by-step explanation:

Z A deep-sea diver is exploring a ship at a depth of 200 below sea
level The diver decends at a rate of -15 feet per minute. How deep
was the diver at 12 minutes?

Answers

Answer:

The diver was -180 feet below sea level at 12 minutes.

Step-by-step explanation:

Multiply -15 by 12 and you should get -180.

Find the distance from D (-6, -2) to T (7,-8)

Answers

Answer:

(13, 6)

Step-by-step explanation:

Step 1:

Make turn everything into absolute value. Which makes it positive.

Step 2:

6 = 7 = 13

Step 2:

8 - 6 = 4

Answer:

(13, 6)

Hope This Helps :)

what are the coordinates of B if the midpoint of line segment AB is (2, -5) and the coordinates of point A is (4, 4)?

Answers

Midpoints are (3,0)

(look at the images) can i get help on these?

Answers

Answer:

see explanation

Step-by-step explanation:

15

JK + KL = JL , substitute values

2x + 1 + 6x = 81, that is

8x + 1 = 81 ( subtract 1 from both sides )

8x = 80 ( divide both sides by 8 )

x = 10

Thus JK = 2x + 2 = 2(10) + 1 = 20 + 1 = 21

KL = 6x = 6 × 10 = 60

--------------------------------------------------------------

16

JK + KL = JL , substitute values

2x + x + 2 = 5x - 10 , that is

3x + 2 = 5x - 10 ( subtract 3x from both sides )

2 = 2x - 10 ( add 10 to both sides )

12 = 2x ( divide both sides by 2 )

6 = x

Thus

JK = 2X = 2 × 6 = 12

KL = x + 2 = 6 + 2 = 8

JL = 5x - 10 = 5(6) - 10 = 30 - 10 = 20

------------------------------------------------------------

17

Calculate the distance d using the distance formula

d = [tex]\sqrt{(x_{2}-x_{1})^2+(y_{2}-y_{1})^2 }[/tex]

with (x₁, y₁ ) = S(7, 3) and (x₂, y₂ ) = T(1, - 5)

d = [tex]\sqrt{(1-7)^2+(-5-3)^2}[/tex]

   = [tex]\sqrt{(-6)^2+(-8)^2}[/tex]

   = [tex]\sqrt{36+64}[/tex]

   = [tex]\sqrt{100}[/tex] = 10

Calculate the interest earned and total amount of money for the following: 1. Principal: $4,500 Interest: 7% 2. Principal: $1,500 Interest: 4% 3. Principal: $7,500 Interest: 3%

Answers

I forgot how to do this sorry.

Joseph grew 2 centimeters in 12 weeks how much is this in inches per year

Answers

Answer:

About 3.41 inches per year

Step-by-step explanation:

2 cm per 12 week

52 weeks in a year

52/12 = about 4.33

2 cm * 4.33 =  about 8.67 cm

2.54 cm = 1 inch

8.67/2.54 = about 3.41 inches per year

Hope this helps!

(pls mark brainliest)

Steven reads 6 books each month as part of his book club. If Steven has read 18 books so far, how many months has he been with his book club?

Answers

Answer:

3

Step-by-step explanation:

18/6 is 3

Express 4 tickets for $25 as a unit rate

Answers

Unit rate is the amount it costs for 1.

Divide total cost by number bought:

25/4 = 6.25

Unit price = $6.25 per ticket

i need answers because it's very hard i need to pass.

Answers

Answer:

whats the question

Step-by-step explanation:

Use the Symmetry of a Function to Find Coordinates f is an even function. a = A 2-column table with 4 rows. Column 1 is labeled x with entries negative 2, 0, 2, 3. Column 2 is labeled f (x) with entries 4, 5, a, 7. g is an odd function b = A 2-column table with 4 rows. Column 1 is labeled x with entries negative 2, 0, 2, 3. Column 2 is labeled f (x) with entries b, 0, negative 3, negative 4.

Answers

Answer:a=4 b=3

Step-by-step explanation:

Tbh I just guessed and got them

The requried value of the unknowns in the function is given as a = 4 and b = 3.

What are functions?

Functions are the relationship between sets of values. e g y=f(x), for every value of x there is its exists in a set of y. x is the independent variable while Y is the dependent variable.

here,
As mentioned in the question,
For even function table is given,
x    ⇒   -2,  0, 2,  3
f(x)  ⇒   4   5   a   7

For even function,
f(x) = f(-x)

From table,
f(2) = f(-2) = 4
So, a = 4

For odd functions,
f(-x) = -f(x)    [f(-x) ≠ f(x)]
f(-2) = -f(2)
b = 3, [f(2) = -3 from table]

Thus, the requried value of the unknowns in the tables is given as a = 4 and b = 3.

Learn more about function here:

brainly.com/question/21145944

#SPJ2

Allison wants to buy a skirt that has a regular price of $30. The skirt is on sale for 1/5 off the regular price. Allison has a coupon that will take 1/10 off the sale price. There is no sales tax on clothing. If Allison pays with a $50 bill, how much change will she receive? (Note: Express the answer as dollars.cents.)

Answers

Answer:28.4

Step-by-step explanation:

The amount of change received is $28.4.

What is an expression?

An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.

Example: 2 + 3x + 4y = 7 is an expression.

We have,

Regular price = $30

Selling price = (30 - 1/5 x 30) = 30 - 6 = $24

Coupon off = 1/10 x 24 = 2.4

The amount the shirt was bought.

= 30 - 6 - 2.4

= 30 - 8.4

= 21.6

The change was received.

= 50 - 21.6

= $28.4

Thus,

$28.4 is received as changed.

Learn more about expressions here:

https://brainly.com/question/3118662

#SPJ2

Compute the exact value of the function for the given x-value. f(x) = 6x for x = 3

Answers

You plug in x to the function. So it would be 6(3). 6 x 3 is 18, so f(x)=18.

In the figure, a pair of parallel lines is cut by a transversal. What is the measure of angle C if the measure of angle B is 35°? A.  35° B.  90° C.  145° D.  180° ​

Answers

Answer:

Could you please add a diagram? Or at least say how C is related to B?

Like is C an alternate angle to B or anything?

Step-by-step explanation:

A diagram would really help.

Answer:

145

Step-by-step explanation:

180-35=145

Mrs. Bowman spent $110 to rent a popcom machine for the school
carnival and $75 to buy popcorn, oil, and other supplies. If she sold
263 bags of popcorn for $1.50 each, how much money did she make after paying for the machine and the supplies?

Answers

Answer:

200 minutes I am getting poi tea yayyyy

Answer:

$209.50

Step-by-step explanation:

First, find how much she made selling the popcorn:

263(1.5)

= 394.50

Then, find how much she spent on supplies and the machine:

110 + 75

= 185

Subtract the expenses from the profit:

394.50 - 185

= $209.50

what is the answer of 10 times 10

Answers

Answer:

1000

Step-by-step explanation:

10x10=100

Answer: 100

Step-by-step explanation:

10 × 10=100

Or...

You can remember as whenever you time something with 10, you add an 0 at the end to the first number

98 × 10=980 ⇔ you simply just add an zero

what is the round up form of 52.149 in the nearest hundreths​

Answers

Answer:

52.15

Step-by-step explanation:

52.149

Since last digit is 9,

The tenth digit, which is 4 gets rounded to 5.

Therefore answer: 52.15

Answer: 52.15

Step-by-step explanation: you would round to .05 because the 9 is bigger than five. greater than five round up less than 4 keep the same :) hopes this helps

2 perfect squares of 102

Answers

Step-by-step explanation:

102^2 = 10404

102×102=10404

Solve for p in the literal equation 7p + 9r = 9.
p =

Answers

Answer:

       p = -7

Step-by-step explanation:

7p + 9r = 9

      -9    -9

      7p = 0

      -7     -7

        p = -7

     

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