Solve (4 - 5i)(-5 + i)
write answer in the form of a+bi
show all steps

Answers

Answer 1
(4-5i)(-5+i)
= 4x-5 + 4xi + -5i x -5 + -5ixi
= -20 + 4i +25i -5i²
Answer 2
Use Foil, or the box method to multiply
4 -5i
-5 -20 25i
i 4i -5i^2

Combine like terms
-5i^2 +29i -20

By definition i^2 is equal to -1
Plug it in
-5(-1) +29i -20
29i -20 + 5

ANSWER:
29i -15

Related Questions

what is linear graph​

Answers

Answer:

A linear graph is nothing but a straight line or straight graph which is drawn on a plane connecting the points on x and y coordinates.

Answer: is a diagram which shows a connection or relation between two or more quantity.

Step-by-step explanation:

Who could help me please and thank you

Answers

Answer:

( Hint)

Step-by-step explanation:

55-5= 5x>-25-5

50= 5x>-30

10=x>-6

what is the variable if 13 and p

Answers

Answer:

p because variables are shown by letters not numbers

Hope this helped:)

Step-by-step explanation:

A chipmunk population is experiencing exponential growth with a population growth rate of 265 individuals/year, and a per capita rate of increase of 0.15. How many chipmunks are currently in this population

Answers

Answer:

There are 1766 chipmunks in the population

Step-by-step explanation:

Number of individuals increasing per year = 265

Rate of increase = 0.15

Rate of increase = increase in number of individuals in a given population /total population

Substituting the given values, we get -

0.15 = (265/total population)

Total population = 265/0.15 = 1766

A b or c ? Help please

Answers

Answer:

The second one I think

Step-by-step explanation:

Answer:

Center: (−3,2)

Radius: 3

Step-by-step explanation:

Find the volume of the figure. Use 3.14 for Pi​

Answers

Answer:

The answer would be 17

Step-by-step explanation:

The answer would be 17 because if you add 12 plus 5 That would be your answer

SOMEONE PLEASE EXPLAIN THIS TO ME. IVE GOTTEN THIS WRONT 3 TIMES AND I DONT KNOW WHAT IM DOING WRONG

Answers

Answer:

I believe the answer is 58.1 degrees

Step-by-step explanation:

acrsin 45/53=58.1

45/53 is the sin of P

Find the measures of ZX and ZY.
Z
Х
P
1649
V
102°
w
o
mZX=
o
mZY=

Answers

Answer: 303

Step-by-step explanation:

The length of 12cm and 5 cm missing one

Answers

Answer:

13cm

Step-by-step explanation:

Let the given lengths be the opposte amd adjacent sides of a right triangle'

The missing side will be the hypotenuse

Using the pythagoras theorem;

hyp^2  = 5² + 12²

hyp² = 25 + 144

hyp² = 169

hyp =√169

hyp = 13cm

Hence the missing one is 13cm

Multiplying by which number is equivalent to finding 15%?

Answers

.15 is your answer, seeing as .15 is equivalent to 15%

Answer:

The answer is still 15. Because

The number is × which is 0.so it is still 15%

Craig earns the same amount of money each month. His telephone bill is 1/20 of his monthly earnings, and he pays a total of $720 each year for his telephone service. How much does Craig earn each month, in dollars?

Question 3 options:

$1,200


$1,600


$60


$120

Answers

Answer:

Hello! answer: 1,200

Step-by-step explanation:

We know he pays 720 in a year so i divide that by 12 so... 720 ÷ 12 = 60 so he pays 60 each month for his telephone service since thats only 1/20 of his earning what I do is 60 × 20 and we get 1200 so craig makes 1200 a month hope that helps!

$1200, Craig earns each month.

What is ratio?

The ratio can be defined as the number that can be used to represent one quantity as a percentage of another. Only when the two numbers in a ratio have the same unit can they be compared. Ratios are used to compare two objects.

Let's assume Craig earns $x per month.

The telephone bill is 1/20 of his monthly earnings, which is (1/20)x.

He pays a total of $720 each year for his telephone service.

Since there are 12 months in a year,

he pays (1/12) * 720 = $60 per month for his telephone service.

Therefore,

(1/20)x + $60 = x,

as he earns the same amount each month.

Simplifying the equation,

we get x/20 = $60

Multiplying both sides by 20,

we get x = $1,200

Therefore, Craig earns $1,200 per month.

Learn more about ratios here:

https://brainly.com/question/13419413

#SPJ3

Rachel has 132 baseball card his brother has 5/6 as many baseball card how many baseball card does his brother have

Answers

Answer:

110

Step-by-step explanation:

5/6 of 132 is 110

A silo has a cylindrical part and a roof that is a hemisphere.
The radius of the cylinder is 3m and its height is 12m.
Find the volume of the silo.

Answers

Answer:

339.29

Step-by-step explanation:

Use formula for cylinder: [tex]V=\pi r^2h[/tex].

Note: I rounded to the nearest hundreth.

Is someone smarten than me plz

Answers

Answer:

11.70

Step-by-step explanation:

d=√((16-5)^2+(14-10)^2)=11.7046999...

HELP PLEASE! I NEEDED IT! T0T

Applying the 45-45-90 Theorem, Find the lengths of the other two sides of a right triangle if the length of the hypotenuse is 4√2 inches and one of the angles is 45°.​

Answers

Answer: The other two sides are 4 inches each

Rule: If x is the leg of a 45-45-90 triangle, then x*sqrt(2) is the hypotenuse.

We can prove this by showing that x^2+x^2 = (x*sqrt(2))^2 is an identity. It's from the pythagorean theorem a^2+b^2 = c^2.

Put another way, if we know that a = x and b = x are the two congruent legs, then x^2+x^2 = c^2 leads to c = x*sqrt(2). This triangle is known as an isosceles right triangle.

So if 4*sqrt(2) is the hypotenuse, we match that up with the template x*sqrt(2) and see that x = 4 must be the case.

PLEASE HELP!!!!!!!!!!!!!!!
Solve the following inequality. Show all work.

−4 + 2 ≥ 20

Answers

Answer:

The answer is -2 ≥ 20

Step-by-step explanation:

You add -4 and 2

The mean age of the employees at a large corporation is 35.2 years, and the standard deviation is 9.5 years. A random sample of 4 employees will be selected. What are the mean and standard deviation of the sampling distribution of the sample mean for samples of size 4

Answers

Answer:

35.2 ; 4.75

Step-by-step explanation:

Given that :

Mean age, μ = 35.2 years

Standard deviation, σ = 9.5 years

The mean of the sampling distribution will be equal to the population mean, μ, this is according to the central limit theorem.

The standard deviation of the sampling distribution, is given by : σ/√n

n = sample size = 4

SD of sampling distribution = 9.5/√4 = 9.5 / 2 = 4.75

Sam is using the expression m/8n in class. what is the value of the expression when m = 4 and n = 1/2?

Answers

Answer:

1

Step-by-step explanation:

m/8n > 4/8(1/2) ( since its 1/2 all u need to do is change the fraction to whole number which is 1/2 = 0.5)

The given will become 4/4 then simplest form is 1

I NEED HELP FAST! I NEED THESE MATH SHEETS CHECKED OVER ( will be given brainly )

there is one additional problem and it is r^10s^6/r^-5s^9

Answers

Answer:

The answer is r^10s^6/r-5s^9= r^10/r-^5 = r^15

Step-by-step explanation:

the answer is r^15

HELP ME PLEASE!! I’ve been going at it but I just can’t.

Answers

it’s 3696 m^3 . volume is just length x width x height or l x w x h. just multiply all the numbers given.

If the principal is $4,500 and the rate of interest is 8%, what is the amount of interest after one year? Formula is I =PRT

Answers

Step-by-step explanation:

I=?

P= $4500

R=8%=0.08

T=1 year

8%*0.01= 0.08

I=(4500)(0.08)(1)

(4500)(0.08)=360

360*1=360

The interest after one year is $360

Please help I have a test tomorow and I just want to know if I'm correct on my answer I got x=2p on question 11,D​

Answers

Answer:

Yea you correct, you answer is right

Two cars leave the same parking lot, with one heading north and the other heading east. After several minutes, the northbound car has traveled 4 kilometers, and the eastbound car has traveled 3 kilometers. Measured in a straight line, how far apart are the two cars?

Answers

Answer:

The distance between them is 5km

Step-by-step explanation:

Given

[tex]Car\ A =4km[/tex]

[tex]Car\ B =3km[/tex]

Required

Distance between them

The scenario can be represented with the attached image

The distance between them is then calculated using Pythagoras theorem

[tex]d^2 = 4^2 +3^2[/tex]

[tex]d^2 = 16 +9[/tex]

[tex]d^2 = 25[/tex]

Take square roots of both sides

[tex]d = \sqrt{25[/tex]

[tex]d = 5[/tex]

What type of triangles has no equal sides and one right angle?
right isosceles triangle
right scalene triangle
isosceles triangle
right triangle

Answers

Answer:

arwa

Step-by-step explanation:

A scalene triangle has no equal length sides. It also has no equal inside angles. These triangles can be acute (all angles less than 90°), right-angled (one angle is 90°), or obtuse (one angle is more than 90°)

Answer:

Right scalene triangle

Step-by-step explanation:

Scalene triangles have no equal sides. A right scalene triangle has no equal sides, and one right angle.

help!! need this turned in by today!

Bob the Wizard makes magical brooms. He charges 125 gold pieces for each magical broom he makes for
his customers. He also charges a one-time fee of 50 gold pieces for his initial consultation.
The total number G of gold pieces Bob charges is a function of 2, the number of magical brooms he makes
Write the function's formula.
G =

Answers

Answer:

G = 50

Step-by-step explanation:

50 is the initial after-cost, right?

answer is : The function formula will be

Since we have given that

Charges per each magical broom he makes for his customers = 125 gold pieces

Charges of one time fees = 50 gold pieces

Let the number of magical brooms he makes be 'x'.

Let the total number of gold pieces be 'G'.

According to question, it becomes

Step-by-step explanation:Since we have given that

Charges per each magical broom he makes for his customers = 125 gold pieces

Charges of one time fees = 50 gold pieces

Let the number of magical brooms he makes be 'x'.

Let the total number of gold pieces be 'G'.

According to question, it becomes

Since we have given that

Charges per each magical broom he makes for his customers = 125 gold pieces

Charges of one time fees = 50 gold pieces

Let the number of magical brooms he makes be 'x'.

Let the total number of gold pieces be 'G'.

According to question, it becomes

find the value of x pls help

Answers

Answer:

x = 16

Step-by-step explanation:

*A triangle's interior angles always add up to 180 degrees*

1. The square on the left-hand side means 90 degrees

2. To find the degrees on the 150 degrees side we need to subtract 180 from 150  as the line it's on equals 180 degrees

180 -151 = 29

3. Now we know 3 out of the two angles, so if we add them up and subtract them from 180 degrees we will have the 3rd angle

29 +90 = 119

180 - 119 = 61

4. Now we can put that in with the equation

4x + 3 = 61

5. Solve

4x - 3 = 61

    + 3   +3

4x = 64

/4     /4

x = 16

Two points A and B on a plan represent two localities 12 m apart. Given that the segment AB is 6cn long, find the scale used to draw the plan.

Answers

Answer:

The scale is 1:200

Step-by-step explanation:

On the plan we have the drawing as 6 cm

In real representation, we have the distance as 12 m

Firstly we have to convert to same unit

In this case, we use the cm for convenience

Mathematically, 100 cm is 1 m

Thus, 12 m

will be 12 * 100 = 1,200 cm

So, we have the ratio as;

6 cm : 1,200 cm

and that is 1:200 (since 6/1200 = 1/200 and in ratio form, we have that as 1:200)

A 70 cm long stick is cut into two parts in such a way that the longer part is 20 cm longer than the shorter part. How long is each part?

Answers

Answer:

Long part= 45

Short part= 25

Step-by-step explanation:

Let the short part of the stick be x

Let the long part be x+20

The total length of the stick is 70cm

x + (x+20)= 70

x+x+20= 70

2x+20= 70

2x= 70-20

2x= 50

x= 50/2

= 25

Longer part length= 20+25

= 45

The short part is 25

Solve the expression below: 3(x-3) + 2x(4x+6)=

Answers

Answer:
8x^2 + 15x -9

Explanation:
Distribute and combine
8x^2+15x-9 hope this helps

help no files and no links pls help

Answers

Answer:

X would be equal to 37 degrees

Step-by-step explanation:

Answer:

x=37

Step-by-step explanation:

118+25+x= 180

143 + x = 180

= 37

check answer by 25+118+37=180

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