What is the product of the complex numbers below?
(2 - 3i)(1 + 7i)

A)-19+11i
B) 23-17i
C) -19-17i
D) 23+11i

Answers

Answer 1

Answer:

23+11i

Step-by-step explanation:

took the test :)


Related Questions

6x + 8y + 6 ; x = 2 , y = 6

Answers

Answer:

66

Step-by-step explanation:

6x + 8y + 6

x=2

y=6

Replace the letters with the numbers:

6(2) + 8(6) +6

= 12 +48 + 6

= 66

pls help been waiitng for 2 hours now..

Answers

Answer:

(5,3)

Step-by-step explanation:

you would move 3 to the right and 2 down

please help with maths work

Answers

Given:

In a right angle triangle ABC, [tex]\angle B=90^\circ,x=8.7\ m[/tex], and [tex]\theta = 45^\circ[/tex]

To find:

The value of AC.

Solution:

In a right angle triangle,

[tex]\cos \theta =\dfrac{Adjacent}{Hypotenuse}[/tex]

[tex]\cos \theta =\dfrac{BC}{AC}[/tex]

[tex]\cos (45^\circ) =\dfrac{8.7}{AC}[/tex]

[tex]\dfrac{1}{\sqrt{2}}=\dfrac{8.7}{AC}[/tex]

On cross multiplication, we get

[tex]AC=8.7\times \sqrt{2}[/tex]

[tex]AC=12.30365799[/tex]

[tex]AC\approx 12.304[/tex]

Therefore, the measure of AC is 12.304 m.

what is 2 ½ divided by ⅘

Answers

Answer:

Step-by-step explanation:

2.5(2 1/2) / 0.8(4/5)

= 3.125

Hope this helped!!

What is the Pythagorean Theorem used for right triangles

Answers

Answer:

The Pythagorean theorem consists of a formula a^2+b^2=c^2 which is used to figure out the value of (mostly) the hypotenuse in a right triangle. The a and b are the 2 "non-hypotenuse" sides of the triangle (Opposite and Adjacent).

Answer:

Step-by-step explanation:

Used t find missing side angles when two sides are present. For example, if you have a short leg and a long leg, you can use the Pythagorean Theorem to find the hypotaneus and vse versa, using it to find the short or long leg if the other two are given.

You rent an apartment that costs
$
1000
$1000 per month during the first year, but the rent is set to go up
$
160
$160 per year. What would be the monthly rent during the 10th year of living in the apartment?

Answers

You need to multiply the two numbers. Or you can use long addition.

Answer:

$2440

Step-by-step explanation:

a10 = a1 + (n-1)d <--- arithmetic sequence formula

a10 = 1000 + 9(160)

a10 = 2440

what is the surface area? PLEASE HELP WILL MARK BRAINLY

Answers

Answer:

Hiya!

Are there any answers I can choose from?

Thank you muchly,

        Pandora

Step-by-step explanation:

will mark brainliest and rate 5/5

Answers

Answer:

its c

Step-by-step explanation:

because i multuply

Answer:

320 cubic centimeters

Step-by-step explanation:

Multiply.

--

20 x 4 x 4 = 320

--

Finding Volume

Length x Width x Height = Volume

--

What is the diameter of a circle that has a radius of 5.2 yards?



** Do not put yards

Answers

Answer:

6.4

Step-by-step explanation:

>
<
=
pls help i beg u

Answers

Answer:

its less than <

Step-by-step explanation:

........

Answer:

>

Step-by-step explanation:

[tex]12 \times 1 \frac{2}{5} = 12 \times \frac{7}{5} = \frac{60}{5} \times \frac{7}{5} = \frac{420}{25} = 16 \frac{20}{25} [/tex]

Ulet rolls 2 fair dice and adds the results from each. Work out the probability of getting a total of 7.

Answers

Answer:

7/ 36

Step-by-step explanation:

Roll of 2 fair six sided die :

Sample space = 6² = 36

Sum of 7:

(1,6) ; (6,1) ; (3,4) ; (4,3) ; (2,5) ; (5,2) = 6

Probability = required outcome / Total possible outcomes

Required outcome = 7

Total possible outcomes = 36

P(obtaining a sum of 7) = 7 / 36

Laura scored a nine, eight, ten, and seven on her first four math tests. Assuming that the perfect score is ten, what score must she get on her fifth test to have total of at least 42 points?

Answers

34+x = 42
42-34 = 8
She just get at least an 8.

Store A sold 330 boxes of candy.Store B sold 14% more boxes than store A.What's the total number of boxes that Store B sold?

Answers

Answer:

376

Step-by-step explanation:

What is the measure of angle x?

Answers

The answer is 35 because it is a 90 degree triangle with a degree of 55

help plssssssssssssssss
one question

Answers

A. Hope this helped

There are 7 students in cara art club . They need to share 2 rolls of clay equally . Cara wants to know how much clay she will get?

Answers

It’s 14 bécate as you c a n d e e see deben times two is fourteen or maybe you do 2 7 times and you will get your answer

Answer:

2/7

Step-by-step explanation:

what does p equal please help me.

Answers

Answer: p < -3/5

Step-by-step explanation:

2p - 4 < -3p - 7

+3p       +3p

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

5p - 4 < -7

     +4   +4

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

5p < -3 (divide by 5)

p < -3/5

Madelyn has x nickels and y dimes, having a maximum of 15 coins worth no
less than $1 combined. At least 2 of the coins are nickels and at least 9 of the
coins are dimes. Solve this system of inequalities graphically and determine
one possible solution.

Answers

9514 1404 393

Answer:

 2 nickels, 9 dimes

Step-by-step explanation:

When there are a number of overlapping shaded areas on the graph, I find it convenient to use the reverse of the inequalities. That makes the unshaded area the solution space. Here, the vertices of the triangular solution space are ...

  (2, 9), (2, 13), (6, 9)

Any of the grid points within (or on) this triangle is a possible solution. One of them is (2, 9) corresponding to 2 nickels and 9 dimes.

__

Three solutions are shown:

  (x, y) = (2, 9), (3, 10), (4, 11)

need more help on this question

Answers

79
hope this helped

Answer: 79

Step-by-step explanation:

6 ÷ 3 + 9 x² - 4=79

Please help its due in a hour

Answers

Answer:

good luck

Step-by-step explanation:

A bag contains 3 red, 5 yellow, and 7 purple marbles. Find the probability of drawing a purple marble followed by a red marble. The first marble is put back in the bag between draws.

Answers

Answer:

unsimplified : [tex]\frac{21}{225} or simplified: \: \frac{7}{75}[/tex]

Step-by-step explanation:

Work out : Look above at image.

I'll give brainlist to the person that answers

Answers

Answer:

67.6

Step-by-step explanation:

area = 158/360 * 49 * pi = 67.56

Ron is making a triangular frame for a garden using three lengths of wood. He has three pieces of wood that measure 3 feet, 8 feet, and 4 feet in length. Ron claims that he can make a triangular frame with these three pieces of wood. Do you agree with Ron? Explain your reasoning.

Answers

Answer:

Step-by-step explanation:

A side of the triangle must be shorter than the sum of the remaining two sides.

He cannot make a triangle with 3, 4, and 8.

Write in point-slope form an equation of the line that passes through the point (9, 8) with slope -6 .

Answers

Answer:

y= -6x+62

Step-by-step explanation:

y-y1=m(x-x1)

y-8=-6(x-9)

y-8=-6x+54

+8        +8

y= -6x+62

what's the value of y ?

[tex]y = ( { - 2 })^{2} [/tex]

Answers

y=-4
because -2 squared would be -4

The table below lists some of the characteristics of the houses on Katrina’s street.


Characteristics of Homes For Sale on Katrina’s Street
Bedrooms
Acres of land
Sale price
Appraised value
Property tax
2
0.17
$230,000
$200,000
$1,220
2
0.20
$210,000
$220,000
$1,232
3
0.20
$275,000
$250,000
$1,400
4
0.24
$275,000
$275,000
$1,540
4
0.52
$360,000
$310,000
$1,736
4
0.75
$350,000
$320,000
$1,792
5
1.23
$375,000
$350,000
$1,960

Which relationship describes a function?
(bedrooms, sale price)
(acres of land, appraised value)
(sale price, bedrooms)
(appraised value, property tax)

Answers

Answer:

the answer is actually D

Step-by-step explanation:

this is for the the perso above .......

its ashamed what u do for points there r ppl out there that rlly need help :)

Answer:

D) got it on edge

Step-by-step explanation:

Find the percent of change from 90 to 12.

Answers

Answer:

86.6667% decrease

Step-by-step explanation:

Trisha has $22.50 to spend at the movies. Her ticket is $11.50 , and she gets a large popcorn and soda . If the popcorn and soda each cost the same amount and she spends all her money, how much was the popcorn?

Answers

Answer:$5.50

Step-by-step explanation:

22.50 -11.50= 11

soda and popcorn (2 items)

11/2= 5.50

How can you determine the number of solutions of a system of linear equations by inspecting its equations?

Answers

Step-by-step explanation:

To find - How can you determine the number of solutions of a system

              of linear equations by inspecting its equations?

Proof -

There exists three types of solution for a system of linear equations.

1. No solution.

2. Unique solution.

3. Infinite many solutions.

Now,

Let the 2 linear equations are as follows :

y = ax + b

y = cx + d

1. For no solution -

a = c and b ≠d

For example-

y = -2x + 5

y = -2x  - 1

Subtract first equation from second , we get

y - y = -2x - 1 - ( -2x + 5)

⇒0 = -2x - 1 + 2x - 5

⇒0 = -6

Not possible

So, There exist no solution.

2. For unique solution -

a ≠ c and b , d can be any value

For example -

If b and d are same ,

y = 2x - 4

y = -3x - 4

Subtract equation 1st from 2nd , we get

y - y = -3x - 4 - ( 2x - 4)

⇒0 = -3x - 4 - 2x + 4

⇒0 = -5x

⇒x = 0

⇒y = 2(0) - 4 = -4

∴ we get

x = 0, y = -4

If b and d are different

y = 2x - 4

y = -3x + 5

Subtract equation 1st from second

y - y = -3x + 5 - 2x + 4

⇒0 = -5x + 9

⇒-5x = -9

⇒x = [tex]\frac{9}{5}[/tex]

⇒y =2([tex]\frac{9}{5}[/tex]) - 4 = [tex]\frac{18}{5} - 4 = \frac{18 - 20}{5} = -\frac{2}{5}[/tex]

∴ we get

x = [tex]\frac{9}{5}[/tex] , y = [tex]-\frac{2}{5}[/tex]

3. Infinitely many solution -

a = c and b = d

For example -

y = -4x + 1

y = -4x + 1

Subtract equation first from equation second

y - y = -4x + 1 - ( -4x + 1)

⇒0 = -4x + 1 + 4x - 1

⇒0 = 0

Satisfied

So, Infinite many solution possible.

what is the value of x if 85 + 19x

Answers

Answer:

we dont know what the equation equals yes im using this for free points im having a compition with my friend so ty im srry if i offended you

Step-by-step explanation:

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