whats the product of (3-2i) and (7+6i)?​

Answers

Answer 1

Answer: the product is = 33+4i

Step-by-step explanation:

21+4i-12i^2

21+4i-12(-1) i^2=-1

21+4i+12

your answer would be 33+4i .


Related Questions

someone please help me with this! please write out the steps as well, thank you!

Answers

Answer:

60°

140°

Step-by-step explanation:

From the given figures,

 a. we use the concept of alternate angles.

   Two parallel lines cut by a transversal will have equal alternate angles;

  So;

       6x + 12 = 7x + 4

    collect like terms and solve for x;

     6x - 7x = 4 - 12

         -x = -8

         x = 8

Now, 6x + 12 = 6(8) + 12

                     = 48 + 12

                     = 60°

b. Here we use alternate angles and angles on a line;

     4x is an alternate angle to that angle to the left of 13x + 10

   

And sum of angles on a line = 180

    4x + 13x + 10 = 180

        17x = 170

          x = 10

Now,  13x + 10 = 13(10) + 10 = 140°

-2 = ( 4 + z ) / -2
I need help answer fast

Answers

Z=0 hope this helpsssss

A quadrilateral has coordinates of (-4,3), (-3,8). (2,5), and (1, -7).
Enter the perimeter of this quadrilateral rounded to the nearest whole unit.

Answers

Answer:

The perimeter of a quadrilateral will be equal to the addition of the length of each side of the quadrilateral.

Here we only have the vertices of the quadrilateral, and to calculate the length of the sides, first we need to plot the points in a graph and see which pairs make the quadrilateral.

You can see the image below, where i did a rough sketch of the problem.

in the image, you can see that the sides of this rectangle are the ones formed by the pairs:

(-4,3) and (-2, 8)

(-2, 8) and (2, 5)

(2,5 ) and (1, -7)

(1, - 7) and (-4, 3)

Now let's calculate the length of each side.

Remember that when we have two points (a, b) and (c, d) the distance is:

D = √( (a - c)^2 + (b - d)^2)

Now we need to calculate four distances:

(-4,3) and (-2, 8)

D1 = √( (-4  + 2)^2 + (3 - 8)^2) = 5.39

(-2, 8) and (2, 5)

D2 = √( (-2  - 2)^2 + (8 - 5)^2) = 5

(2,5 ) and (1, -7)

D3 = √( (2  - 1)^2 + (5 + 7)^2) = 12.04

(1, - 7) and (-4, 3)

D4 = √( (1  +4)^2 + (-7 -3)^2) = 11.18

Now we add those four distances to get the perimeter:

P =  5.39 + 5 + 12.04 +  11.18 = 33.61

And we want to round it to the next whole number, because the first digit after the decimal point is larger than 5, we round up, and get:

p = 37

A ring is now reduced to £840.

This is a saving of 40% of the original price.

Work out the original price of the ring.

Answers

Answer:  £1400

==============================================

Work Shown:

If you save 40%, then you pay 100% - 40% = 60% of the original price

final price = 60% of original price

final price = 0.60*(original price)

840 = 0.60x

0.60x = 840

x = 840/0.60

x = 1400

The ring was originally £1400 before the discount.

Write an equation of a line in slope-intercept form, which is passing through the point (8, −6) and is parallel to another line, whose slope is −2

Answers

Answer:

y=-2x+10

Step-by-step explanation:

slope intercept is written as y=mx+b

the slope or m is -2 and using the slope we can calculate a y-intercept or b of 10.

hope this helps!

Answer:

y=-2x+10

Step-by-step explanation:

Hello there!

First the equation of a line is y=mx+b (m is the slope and b is the y-intercept)

Plugging in the formula, the problem already gives you the slope, which is -2, so y=-2x+b

Next, we have to find the y-intercept! We have a pair, (8,-6), so we can plug that into the current equation we have:

-6 = -2*8 + b

-6 = -16 + b

(add 16 to both sides)

10 = b (or b=10)

Now that we have all of the parts we need, our answer will be y=-2x+10

Hope this helped!

Fully Simplify (multiplying imaginary numbers)
(-3_/-63) (9_/7)

Answers

See attachment for math work and answer.

What is the equation of the line described below written in slope-intercept form? the line passing through point (2,4), parallel to the line whose equation is y = x
A. y=x + 2
B. y = -x + 2
C. y=-X​

Answers

Answer:

y = x + 2

Step-by-step explanation:

If anyone answers, I love you.

Answers

Answer:

-5 7

6 -3

-9 1

Step-by-step explanation:

im so sorry if im wrong don't sew meh

PLZ HELP ME ASAP!!!

Which of the following is equivalent to the ratio of 14 minutes to 62 minutes?

1. 1 : 3
2. 7 : 31
3. 1 : 9
4. 7 : 40

Answers

Answer:

2. 7 : 31

Step-by-step explanation:

7 * 2 = 14

31 * 2 = 62

7 : 31

14 : 62

NEED HELP ASAP!
p:Memorial Day is in July q:Parallel lines never
intersect

Which represents the symbolic notation of the compound statement below?
“Memorial Day is in July or parallel lines intersect.”



Answers

Answer:

Option (C)

Step-by-step explanation:

Two statements given in the question are,

p: Memorial Day is in July

q: Parallel lines never intersect

We have to tell the represent the symbolic notation of the compound statement,

"Memorial Day is in July or parallel lines intersect"

Here word 'Or' is combining these statements.

We know word 'Or' means Disjunction which is denoted by the symbol (∨).

So the compound statement will be denoted by p ∨ q.

Option (C) will be the answer.

The charge for a cab ride in one city is modeled by the function f(m)=4+2.5m where m is the number of miles driven. What is the charge for a 12 mile cab ride?

Answers

Answer:

34

Step-by-step explanation:

Plugin 12 for x

f(12)=4+2.5(12)

2.5 times 12=30

30+4=34

Angie has to fill in a reading log for her English class. She is required to read a total of 10 and 5 over six hours a week. On Monday she read 1 and 1 over 3 hours, Tuesday she read 3 over 4 of an hour and Thursday she read 3 hours. How many total hours does she still need to read in order to get full credit?

Answers

Given:

She is required to read a total = [tex]10\dfrac{5}{6}[/tex] hours a week.

Monday she read [tex]1\dfrac{1}{3}[/tex] hours.

Tuesday she read [tex]\dfrac{3}{4}[/tex] of an hour.

Thursday she read 3 hours.

To find:

The total hours does she still need to read in order to get full credit.

Solution:

Total time = [tex]10\dfrac{5}{6}[/tex] hours a week.

Total time she already read [tex]=1\dfrac{1}{3}+\dfrac{3}{4}+3[/tex] hours

                                              [tex]=\dfrac{1\times 3+1}{3}+\dfrac{3}{4}+3[/tex] hours

                                              [tex]=\dfrac{4}{3}+\dfrac{3}{4}+3[/tex] hours

                                              [tex]=\dfrac{16+9+36}{12}[/tex] hours

                                              [tex]=\dfrac{61}{12}[/tex] hours

Now,

Remaining time = Total time - Total time she already read

                         [tex]=10\dfrac{5}{6}-\dfrac{61}{12}[/tex]

                         [tex]=\dfrac{65}{6}-\dfrac{61}{12}[/tex]

                         [tex]=\dfrac{130-61}{12}[/tex]

                         [tex]=\dfrac{69}{12}[/tex]

                         [tex]=\dfrac{23}{4}[/tex]

                         [tex]=5\dfrac{3}{4}[/tex]

Therefore, the required time is  [tex]5\dfrac{3}{4}[/tex] hours.

I really need help with this

Answers

Answer:

Did this help??

Step-by-step explanation:

a.) 5x = m

5x = you and four friends.

m = money for food

b.) Plug in

5(5.25) = m

26.25 = m

Bus A and Bus B leave the bus depot at 9 am. Bus A takes 30 minutes to complete its route once and bus B takes 40 minutes to complete its route once. If both buses continue to repeat their route, at what time will they be back at the bus depot together?

Answers

Answer:

11 am

Step-by-step explanation:

Bus A and Bus B leave the bus depot at 9 am.

Bus A takes 30 minutes to complete its route once

Bus B takes 40 minutes to complete its route once.

We solve this finding the Lowest Common Multiple of the minutes each bus uses to complete it's route

30 = 3 × 10

40 = 4 × 10

= 3 × 4 × 10

= 120 minutes

120 minutes after 9 am is

60 minutes = 1 hour

60 minutes = 1 hour

= 2 hours.

9am + 2 hours

= 11 am.

Therefore, they be back at the bus depot together at 11 am

Aline's

y -intercept

is 10, and its slope is 9

. What

is its equation in

slope -intercept

form?


Write your answer using integers, proper fractions, and improper fractions in simplest form.


y = x +

Answers

10 the m is the slope so 9 and the b is the y intercept (10)

Dianne drew a triangle with coordinates (1,3), (3,2) and (4,2) she drew an image of the triangle with coordinates (21,3) ,(23,2) and (24,2) how did she make the image

Answers

Answer:

i

Step-by-step explanation:

dk

i’ll mark BRAINLEST IF U HELP (if u don’t know pls don’t try)

Which set of ordered pairs does not represent a function?
A. {(-2,4),(-1,1),(0,0),(1,1),(2,4)}
B. {(4, -2),(1, -1),(0,0),(1,1),(4,2)}
C. {(-4,2), (2, -4), (0,0),(4,-2), (-2,4)}
D. {(-4,-4),(-2,-2),(0,0), (2, 2), (4,4)}

Answers

Answer:

It is A

Step-by-step explanation:

The correct answer to this question is A.

Help which one is it

Answers

Answer:

addition of property of equation

Step-by-step explanation:

You have to move the -3 by adding it to both sides and since the other number is negative you get 1

Answer:

Addition property of equality

Factor 2x^3-5x^2-4x+3

Answers

Answer:

(2 x - 1) (x + 1) (x - 3)

Step-by-step explanation:

Factor the following:

2 x^3 - 5 x^2 - 4 x + 3

Hint: | Find all linear factors of 2 x^3 - 5 x^2 - 4 x + 3 via the rational root theorem. Do this by finding rational roots. The candidates are x = ± p/q for all p that are divisors of the constant term 3 and for all q that are divisors of the leading coefficient 2.

The possible rational roots of 2 x^3 - 5 x^2 - 4 x + 3 are x = ± 1/2, x = ± 3/2, x = ± 1, x = ± 3. Of these, x = 1/2, x = -1 and x = 3 are roots. This gives 2 x - 1, x + 1 and x - 3 as all factors:

Answer: (2 x - 1) (x + 1) (x - 3)

338 points in 16 games. how many points did they make per game?​

Answers

21.125 (21) points in each game.
just divide 338 by 16.
-hope this helps

−8 1/4+3 1/4

The "1/4" counts as a fraction. :)

Please help!!

Answers

i believe the answer is -5

Please help:( I’ll mark brianly

Answers

Answer:13.D      14.C

Step-by-step explanation:

Give your own example of a literal equation

Answers

Answer:

Literal equation is a consists letters of primarily.

Step-by-step explanation:

Hopes that helped :)

Water is steadily dripping from a faucet into a bowl. You want to write an equation that represents the number of milliliters y of water in the bowl after . What is the constant of proportionality for the relationship between the number of milliliters y of water in the bowl and the time in seconds​ x? What is the​ equation? Water from Dripping Faucet Time in Seconds​ (x) Milliliters in Bowl​ (y) 20 320 35 560 45 720 60 960

Answers

9514 1404 393

Answer:

k = 16y = 16x

Step-by-step explanation:

y is proportional to x when it satisfies the equation ...

  y = kx

where k is the constant of proportionality. The equation can be solved for k by dividing by x:

  k = y/x

The value of k for the given relation is ...

  k = (320 mL)/(20 s)

  k = 16 mL/s . . . the constant of proportionality

Then the equation is ...

  y = 16x

Write 45 as a product of primes.
Use index notation where appropriate.​

Answers

9*5=45
3*3*5=45
Therefore:
3^2 *5 = 45

240 projects in 15 days =
projects per day

Answers

Answer:

Step-by-step explanation:

240/15 is 16 projects per day

Answer:

16 projects per day

Step-by-step explanation:

Take the number of projects and divide by the number of days

240/15

16 projects per day

Explain why (4, 1) is not a solution to the equation y=3x+1

Please help me! I will mark brainliest!! <3

Answers

In (4, 1) 4 represents x, and 1 represents y

y = 3x + 1

1 = 3(4)+1

1 = 12 + 1

1 ≠ 13   ← sides are not equal so (4, 1) is not a solution to y=3x+1

Hiiiii.

How are you?

I like to be Friends.

Factorize using middle term:
m²+3m+2

Answers

Answer:

Step-by-step explanation:

m2 + 3m + 2

m2 + m + 2m + 2

m (m + 1) + 2(m + 1)

(m + 1) and (m + 2) are the factors

In the notation "s(x) = ...," what does "s(X)" represent?
ОА.
There is not enough information to answer this question.
OB.
The value of s(x) depends on the value of x, since sis a function of x.
O C.
The value found when sis multiplied by the value x.
D.
The value of x depends on the value of s(x), since x is a function of s.

Answers

Answer: B) The value of s(x) depends on the value of x, since s is a function of x.

It's similar to f(x) or g(x) function notation, but now we're using the letter s.

The x is the input of the function. The output is s(x). So that's why s(x) depends on x.

Can somebody please help?

Answers

Answer:

1. real number, irrational number

2. rational number, real number

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