(−5 + 3i) ⋅ (1 − 2i)

Answers

Answer 1

Answer:

[tex] - 1[/tex]

Step-by-step explanation:

[tex](-5 + 3i) \times (1 - 2i) \\ ( - 5 + 6) \times (1 - 2) \\ ( 1) \times ( - 1) \\ = - 1[/tex]

Answer 2
you would FOIL it (first, outer, inner, last)
(-5+3i)(1-2i)
-5+10i+3i+6i^2
add like terms
-5+13i-6i^2
then put in order
-6i^2+13i-5

Related Questions

From a point at the waters edge, a bridge arch 53 m away has an angle of elevation of 30, and the top of a yacht mast 14 m away has an angle of elevation of 12°. Can the yacht pass under the bridge?​

Answers

Answer:

Yes

Step-by-step explanation:

We don't  even have to do a calculation.  

The arch of the bridge is at point C.

The top of the yacht's mast is at E.

Even though the yacht is much closer to the water's edge, its mast has a much smaller angle of elevation.

The yacht can easily pass under the bridge.

Please help me with this question please help

Answers

Answer:

Probably. X=7 m

Step-by-step explanation:

I think this is the answer

Aubree mowed 5 lawns in 4 hours. What was her rate of mowing in lawns per hour? Express your answer in simplest form.

Answers

Answer:

1.25 lawns/per hour

Step-by-step explanation:

Explain why there must be at least two lines on any given plane.

Answers

Answer:

there need to line to fly or it migth crash with a bomm!

Step-by-step explanation:

Answer: There exists one plane through any three noncollinear points. Since the points cannot be on the same line, at least two lines would have to pass through any of the three points.

Step-by-step explanation:

You inherited land that was purchased for $30,000 in 1960. The value of the land increases by approximately 5% per year. What will be the approximate value of the land 61 years later in 2021? * 1 point

Answers

Answer:

$121,500

Step-by-step explanation:

If the value increases by 5% every year, then in 61 years  it will increase by

5% * 61 years = 305%

301% of %30,000  is $91,500

$(30,000 + 91,500)

= $121,500

Find the zeros of f(x)=(x-3)^2-49 algebraically

Answers

Answer:

x = 10,-4

Step-by-step explanation:

(x-3)^2 -49 = (x-3-7)(x-3+7)

= (x-10)(x+4)

The zeros of f(x) are 10 ,-4

What is Expansion?An expansion of a product of sums expresses it as a sum of products by using the fact that multiplication distributes over addition

How to Solve this Problem?

This problem can be solved by following steps

The given equation is equal to zero Expand (x-3)^2Split the middle termTake the common factors And find out the zeros of the equation

[tex]f(x)=0\\(x-3)^{2}-49=0\\ x^{2} -6x-40=0\\x^{2} -10x+4x-40=0\\x(x-10)+4(x-10)\\(x-10)(x+4)\\x = 10 , -4[/tex]

Hence the zeroes are 10 and -4

Learn more about zeroes here

https://brainly.com/question/10629698

#SPJ2

using mental math find 4.623 x 1000. Please explain how you got your answer​

Answers

Answer:

4 623

Step-by-step explanation:

4.623 x 1000

When multiplying by a  positive power of 10, move the decimal by the number of zeros

Since we have 3 zeros, move the decimal 3 places to the right

4 623

Answer:

You can easily figure that

[tex]4.623 = 4623 \cdot 10^{-3}[/tex]

[tex]1000 = 1\cdot 10^3[/tex]

The multiplication: [tex](4623 \cdot 10^{-3}) \cdot (10^3)=4623[/tex]

Drag the correct tiles to the boxes. Each tile can be used more than once.
Match each scenario to the type of relationship it represents.
Linear
Exponential
Quadratic
In a shotput competition anything with a shock from a height of 6 feet the shower because a maximum height of 9 feet after covering a distance of 29 fee the total distance covered by the shot is 58 feet Time years 01234 number of pigs on the form 30 9 200 7 81 2430. The government plans to decrease the number of automobiles imported from a certain country by 10% each year. Ronald is descending from the 50th floor anyway elevator the elevator moves up or down eight floors per minute. Time second 02468 height of a toy jet feet 5 101310 five

Answers

Answer:

Step-by-step explanation:

Please answer correctly !!!! Will mark brainliest !!!!!!!!!!!

Answers

Answer:

(x+1)(x+8)

x^2 + 8x + x + 8

x^2 + 9x + 8

Step-by-step explanation:

1. multiply the length and width by using the foil method

2. add like terms

Solve using cosine law only

Please please help this is due tomorrow morning

Answers

Hints:

Step 1: Use Sine law the the angle B.

a/Sin A=b/SinB=c/SinC

24/Sin61^=12/SinB (accross multiply)

SinB=12Sin61^/24

SinB=0.437309853 then convert to degree =25.9 degree( depends on question rounded how many decimal) Read the question it must notes there.

--> Angle C=180-61-25.9=93.1 degree.

Step 2: Use Cosine law to calculate.

c^2=a^2+b^2−2ab⋅cosC

c^2=24^2+12^2-2(24)(12)cos93.1

c^2=720-576(-0.054078812)

c^2=720+31.11494

c^2=751.1494

c=27.4

(Square root take exponent off)

Step-by-step explanation:

Please answer correctly !!!!!!!!! Will mark brainliest !!!!!!!!!!!!!!!!!!!!

Answers

Answer:

25

Step-by-step explanation:

Take the coefficient of x

10

Divide by 2

10/2 = 5

Square it

5^2 =25

x^2 +10x + 25

Answer:nor 1

Step-by-step explanation:

PLEASE ANSWER THIS QUESTION !! WILL GIVE BRAINLIEST !! 20 POINTS !!

Answers

Answer:

(2x+1)(x+7)

Step-by-step explanation:

Guess and Check

(2x+7)(x+1) = 2x^2+9x+7. NOPE

(2x+1)(x+7) = 2x^2+15x+7. YES

Answer:

[tex]= (2x + 1)(x + 7) \\ [/tex]

Step-by-step explanation:

[tex]2 {x}^{2} + 15x + 7 \\ 2 {x}^{2} + 14x + x + 7 \\ 2x(x + 7) + 1(x + 7) \\ = (2x + 1)(x + 7)[/tex]

hope this helps

brainliest appreciated

good luck! have a nice day!

Doughnuts at one shop cost £1.60 each. Doughnuts at a second shop cost 5% more. What is the difference in the cost of doughnuts at the two shops?

Answers

diff = (105/100 x 1.60) - 1.60

What are five ratios equivalent to 7:6

Answers

Answer: 14:12, 21:18, 28:24, 35:30, 42:36

Answer:

14:12 3.5:3 21:18 28:12 35:30

Step-by-step explanation:

just multiply/divide both sides by the same number

if m=3 3/4, what is the value of 3m

Answers

Answer:

The answer is 11 1/4.

Step-by-step explanation:

The value of 3m can be found by multiplying 3 by 3 and 3/4 by 3. We get 9 and 9/4 there. Then we simplify 9/4 into 2 1/4 and say the answer is 11 1/4.

Please answer correctly !!!!!!!!! Will mark brainliest !!!!!!!!!!!

Answers

Answer: no solutions

Step-by-step explanation:

There is no solutions because

the lines don't cross each other

Hope this helps :)

Answer:

no solutions

Step-by-step explanation:

4x - 6y = -24

2x - 3y = -6

Multiply the second equation by -2

-4x +6y = 12

Add this to the first equation

4x - 6y = -24

-4x +6y = 12

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

0 = -12

This is never true so there are no solutions

Ross has a fourth of the amount needed to buy a new computer. The computer cost ($213 divided by 55) divided by 4. Show how you could calculate the amount of money ross has?

Answers

Answer:

The amount of money that Ross has = $0.97

Step-by-step explanation:

We are told in the question that Ross has a fourth of the Amount needed to buy his computer.

Let us represent cost of the computer as = Y

Hence, Ross has = 1/4 of Y

From the question, we are told the cost of the Computer. Therefore,

Y = $213÷ 55

Y = $3.8727272727 = $3.87

The cost of the computer = $3.8727272727

Since Ross has 1/4 of the amount needed for the computer ,

This is calculated as : 1/4 × $3.8727272727

=$0.9681818182

Approximately: $0.97

Therefore, The amount of money that Ross has = $0.97

Answer:

0.97

Step-by-step explanation:

Mr. Smith has $21 in his bank account and deposits $12 per week. Mr. Brown has $55 in his account and deposits $10 weekly. After how many weeks will Mr. Smith and Mr. Brown have the same amount of money in their bank accounts?

a. Never!
b. 38 weeks
c. 17 weeks
d. 2 weeks

Answers

Answer:

17 weeks

Step-by-step explanation:

(12×17)+21= 225

(10×17)+55=225

The answer would be 17 weeks !

helpp me please. click the photo to see the question

Answers

Answer:

.42n = p

Step-by-step explanation:

We can write ratios to solve

2.52 / 6 = p/n

.42 = p/n

Multiply each side by n

.42n = p

Answer:

A is the answer

Step-by-step explanation:

You have to divide $2.42 by 6.

[tex]2.52/6=0.42[/tex]

The unit rate would be

[tex]p=0.42n[/tex]

So for every orange it will cost $0.42

Hope this helps

Given that m= -2 and n=¾, find the value Of
i)m²(n-1)
ii) n²-3/m​

Answers

Answer:

Given that m = -2 and n = ¾,

m^2 x (n - 1) = (-2)^2 x (3/4 - 1) = 4 x (-1/4) = -1

n^2 - 3/m​ = (3/4)^2 - 3/(-2) = 9/16 + 3/2 = 9/16 + 24/16 = 33/16

Hope this helps!

:)

Using system of equations answer this word problem. 1) Scott and Paul are selling Pies for a school fundraiser. Customers can buy apple pies and lemon meringue pies. Scott sold 3 apple pies and 12 lemon meringue pies for a total of 141$. Paul sold 2 apple pies and 5 lemon meringue pies for a total of 64$ What is the cost of each of one apple pie and one lemon meringue pie? (Show your work and tell me how to do it and I'll give you brainlist!)

Answers

Answer:

Step-by-step explanation:

We first need to come up with a system of equations that models this situation. Let's call apple pies "a" and lemon pies "L". Then we look to each individual involved in selling these pies and come up with an equation for each. Scott sold 3 apple and 12 lemon pies. The combination of this number of these 2 types of pies grossed him $141. In equation form, the combination of this number of these 2 types of pies is an addition thing. Namely,

3a + 12L = 141

For Paul, his combination was 2 apple and 5 lemon for a total of $64. His equation is

2a + 5L = 64

We need to solve this system either by substitution or elimination/addition to come up with the cost of both types of pies. I chose elimination/addition because I think in this case it is easier, and easier is good.

Setting up for elimination/addition:

3a + 12L = 141

2a  + 5L = 64

Let's first eliminate the a terms. That means that the coefficient on each a has to be the same but with different signs. The LCM of both 3 and 2 is 6, so we will multiply the top equation by 2 and the bottom equation by -3 (we could also have chosen to eliminate the L's first; we also could have chosen to eliminate the a's first but made the 2 negative instead of the 3. As long as you do the math correctly, you'll get the same answer regardless of how you choose to do it). Multiplying the first equation by 2 and the second by -3 gives us a new system:

6a + 24L = 282

-6a - 15L = -192

The reason this is called the elimination or addition method is because the goal is to eliminate, but you do that by adding the columns together. As you can see, 6a - 6a eliminates the a terms, right? What you're left with then is

9L = 90 and

L = 10

Now that we know the cost of a lemon pie, we can back sub in to solve for the cost of an apple pie. It doesn't matter which equation you back sub into, as long as it has both an L and an a in it.  I'll choose the first equation we wrote when we took on this nightmare:

3a + 12L = 141.  Subbing in 10 for L gives us

3a + 12(10) = 141 and

3a + 120 = 141 and

3a = 21 so

a = 7

That means that lemon pies cost 10 each and apple pies cost 7 dollars each.

What is the value of y easy

Answers

The two y's are the same.

y+y+54=180
y=(180-54)/2=63

What is the domain of the function
y = x +4?
-0 < x <0
-4 O 0 4

Answers

Answer:

The answer is the first one.

Step-by-step explanation:

Because this is a linear equation, it will continue on in both directions forever, so the both the x and y values to infinty can be included in this line.

whats the volume of a sphere with a radius of 6?

Answers

Answer:

see below

Step-by-step explanation:

The volume of a sphere is given by

V = 4/3 pi r^3

V = 4/3 pi (6)^3

V =288 pi

If pi = 3.14

V =904.32

If  we use the pi button

V =904.7786842

Dan and Trevon are selling cookie dough for a school fundraiser. Customers can buy packages of chocolate chip cookie dough and packages of sugar cookie dough. Dan sold 5 packages of chocolate chip cookie dough and 8 packages of sugar cookie dough for a total of $84. Trevon sold 1 package of chocolate chip cookie dough and 1 package of sugar cookie dough for a total of $12. Find the cost of one package of chocolate chip cookie dough and one package of sugar cookie dough.

Answers

Answer: well this is pretty simple Trevon sold 1 package of chocolate chip cookie dough and 1 package of sugar cookie dough for a total of $12. What’s 6+6? 12.

And dan sold 5 packages of chocolate chip cookie dough and 8 packages of sugar cookie dough for a total of $84 so what is 5x6? 30 and what’s 8x6? 48 now what’s 30+48? 78 and what’s 78+6? 84. There’s your answer, the cost of one package of chocolate chip cookie dough and one package of sugar cookie dough is $6

I hope this helps!!

Jenny recorded the number of basketball shots she made for each game. The histogram below shows her data. How many times did Jenny make less than four shots in a game?

a. 4

b. 7

c. 5

d. 1

Answers

Answer:

Answer choice a is correct, the answer would be 4.

Step-by-step explanation:

The histogram shows that the bin from 1-3 has a height of 4 shots, and all of the bins to the right include values of ≥4.

The question asks for the number of games that had less than 4 shots, which means that and number of shots greater than or equal to 4 would not be counted. Thus, only the first bin is included in the answer.

The answer would b 4

Please answer asap please

Answers

Answer:

20°

Step-by-step explanation:

ΔCAD

BD=CD

∠BCD=50°, ∠BAD= 30°, x= ?

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

BD=CD ⇒ ∠CBD= ∠BCD= 50° ⇒ ∠BDC= 180°- 50°×2= 80°

∠ADC= 180° - (50°+30°)= 100°

x= ∠ADC - ∠BDC= 100° - 80°= 20°

x= 20°

Solve each equation (steps as to how appreciated)

Answers

Answer:

{0}

Step-by-step explanation:

|n/6| + 1 = 1

Subtract 1 from each side

|n/6| + 1-1 = 1-1

|n/6| =0

Since this is equal to zero what is inside the absolute value must equal zero

n/6 =0

n =0

Answer:

B) {0}

Step-by-step explanation:

Let's go step by step

|n/6| + 1 = 1

First step is to subtract 1 from both sides:

|n/6| = 0

Now, we can multiply both sides by 6:

n = 0

Hope this helps :)

Pls answer. i will mark u as branliest

Answers

Answer:

1080 degrees

Step-by-step explanation:

The sum of the interior angles in an octagon can be find through the formula:

(n-2)180

n is the number of sides, put n as 8.

(8-2)180

(6)180 = 1080

1080 degrees is the sum of the interior angles in an octagon.

plz help with slope question

Answers

Answer:

-The equation:

[tex]y = x + 2[/tex]

Step-by-step explanation:

Use the Point-slope formula to get the slope-intercept equation:

[tex]y-y_{1} = m(x-x_{1})[/tex]

Use the given slope [tex]1[/tex] and point [tex](3,5)[/tex] for the point-slope formula:

[tex]y-5 = 1(x-3)[/tex]

-Then, solve:

[tex]y-5 = 1(x-3)[/tex]

[tex]y-5 = x - 3[/tex]

[tex]y-5 + 5 = x - 3 + 5[/tex]

[tex]y = x + 2[/tex]

-So, the answer is:

[tex]y = x + 2[/tex]

Answer:

C. [tex]y = x +2[/tex]

Step-by-step explanation:

→You can figure this out by plugging in the numbers into the point-slope form, like so:

[tex]y-y_1=m(x-x_1)[/tex]

[tex]y-5=1(x-3)[/tex]

[tex]y - 5=x-3[/tex]

[tex]y = x +2[/tex]

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