Simplify the expression to a + bi form:
(-10 – 4i) – (6 + 9i)

Answers

Answer 1

Answer:

What can you say about a straight line with an undefined gradient. ... Rearrange it into the form y=mx+c then read off the gradient. ... What does it mean if 3 points are said to be collinear?  For the recurrence relation Un+1=aUn+b what is the condition for a limit to  If f(g(x))=x what can we say about the functions f and g

Step-by-step explanation:


Related Questions

What is 73.613 rounded to the nearest whole number?

73
74
76
79

Answers


74
because it is more than 73.4
74 is the answer hope it helps:)

The owner of a used car lot wants to buy many cars at an auction as he can while not spending more than $20000. If he expects the average price to be $4000, how many would he expect to be able to buy?

Answers

Answer:

5

Step-by-step explanation:

Given that:

Total maximum amount that the owner wishes to spend = $20000

Average price of each car = $4000

To find:

How many cars that the owner can expect to buy?

Solution:

Total number of cars that the owner can expect to buy can be found by dividing the total money available with the owner with the average price of each car.

i.e.

[tex]\text{Number of cars expected to be bought} = \dfrac{\text{Total money available with the owner}}{\text{Average Price of car}}[/tex]

We have the following values as given in the question statement:

Total money available = $20000

Average price of car = $4000

Therefore, the answer is:

[tex]\text{Number of cars expected to be bought} = \dfrac{20000}{4000} = \bold{5}[/tex]

The owner can expect to buy 5 number of cars.

What is the answer to 500(59+38)/250?

Answers

the answer is 194 because you multiply 59 and 500 and then 38 and 500 you then get 29,500 plus 19,000 divided by 250 you add the two together and get 48,500 divided by 250 and end up with 194
Answer: 194..................

convert 18 1/10 into a decimal.

Answers

Answer:

the answer is 18.1 1/10 is the same thing as .1

2. Tommy needs a loan in order to buy an RV. The bank offers
Tommy a 10,500 loan for 66 months loan at 4 5/8% annual
compound interest. Determine the amount of interest and total
Tommy will have to pay back.

Answers

Answer:

Step-by-step explanation:

It will take you 10 hours to paint your garage and it will take your brother 15 hours to paint your
garage. How long will it take to paint the garage if the two of you paint together?

Answers

they take 6 hours  to paint the garage if the two of you paint together.

It will take you 10 hours to paint your garage

it will take your brother 15 hours to paint your garage.

How long will it take to paint the garage if the two of you paint together

Total work = LCM of 10 and 15 = 30 units

now , it will take 10 hours to paint the garage

therefore it one hour efficiency = 30/10 =3 units

similarly your brother take 15 hours to apint the garage

therefore brother one hour efficiency = 30/15 = 2 units

so total one hour efficiency is 5 units

and total work is 30 units and their one hour efficiency is 5 units

therefore they complete the work in 30 /5 = 6 hour

Hence they take 6 hours  to paint the garage if the two of you paint together.

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A is 60 miles from B. An automobile at A moves toward B at the rate of 20
miles an hour at the same time that an automobile at B moves toward A at
the rate of 25 miles an hour. How long will it be before the automobiles
meet (in hours)? *

Answers

Answer: 1.33 hr

Step-by-step explanation: 20t + 25t=60

45/45 = 60/45

t= 1.33hr

Help me find the X! UwU..

Answers

It's x=60 because it's equilateral

Well all the angles in a triangle add up too 180º and this triangle is obviously a equilateral triangle (all sides are same) BUT as you see the other people saying X = 60º notice that it says 2 xº meaning that it is X x 2 so 60º is actually wrong :).

If it is X is 60º (since the 3 angles add together since it’s equilateral) then that would be 2 x 60º = 120º times 3 WHICH IS NOT 180.I think U get what I mean now,it’s 2 Xº; so X is 30 because 30 x 2 = 60º and 60 x 3 = 180º!

So Da Answer is X = 30º

Hope this helped :)

Have a great day!

Which expressions are equivalent to 3.64? Check all that apply. 1 36.4 + 10 36.4 x 10 0 0.0364 x 100 [(3 x 1) + (6 x 0.1) + (4 x 0.01)] x 100 O (3 x 1) + (6 * 0.1) + (4 0.01)​

Answers

Answer:

0.0364 × 100

and

[(3×1)+(6×0.1)+(4×0.01)

Three friends map their houses on a coordinate grid. Alex's house is located at point (7, 18). Jimmy's house is at point (-9, 7). Jimmy's house is located halfway between Alex's house and Kara's house. Which ordered pair represents Kara's house?
A (1, 12.5)
B. (24,-4)
C. (-25,-4)
D. (2,25)​

Answers

The answer to this is C

Ed Gregory is surveying technician earning $12. 97 per hour he worked 39 hours last week what was his pay for the week

Answers

Answer:

$505.83

Step-by-step explanation:

12.97 × 39 = 505.83

Can you add 4b + 4m? How do you know? What is this called?

Answers

Answer: [ number 1 & 2are a rule of sequence ] 1: Write a rule for the sequence. 2,6,10,14 a; start with two and subtract four repeatedly b; start with four and add two repeatedly ** c; start with two and add four repeatedly d; start with two and add one , add two.

Step-by-step explanation:

Answer:

You can’t add both terms because the coefficients are multiplying different variables. It’s like trying to add apples and oranges together. They are two different things. So is this situation, variables b and m are two different things. Therefore you can’t add them together. This means that you can’t simplify the expression any further. This also means that you can’t combine like terms, because the two terms are unalike.

Hope this helps! :)

can someone help pls

Answers

Answer:

5√7

Step-by-step explanation:

√7 + 6√7 - 2√7 = 5√7

Six times a number is at least four less than eight times the number. If x represents the number, which will help find
the number?

Answers

Answer:

The inequation 6x ≥ 8x - 4 can be used to find the solution.

The solution is x ≤ 2

Step-by-step explanation:

In math, 'at least' represents greater or equal than (which is the inequation simbol ≥)

If x represents the number then six times a number is the multiplication of x by 6, and four less than eight times the number can be written as: 8x -4

6x ≥ 8x - 4

Solving the inequation;

Substracting 6x each side:

0 ≥ 8x - 6x -4

Suming 4 each side

4 ≥ 2x

Dividing by 2 each side

2 ≥ x

2 greater or equal than x is the same as:

x ≤ 2

Help will give brainiest and 20 points, please answer thoroughly and explain ur steps. If you don’t answer properly I will report. The data is shown above, here is the question:

What types of graph could be used to display the data? Explain

Answers

for this data you can use a bar graph or line graph.

bar graph: you would need to color coordinate the bars. put the years on the x axis and the # of students as the y axis. above each year, put a bar with the amount of females and put another bar right next to it representing the amount of males(bars being different colors). continue this until each year is filled.

line graph: color coded also. year as the x axis and the # of students as the y axis. draw a dot to represent the number of students in each year for both genders. continue for each year and then connect the corresponding dots depending on the gender

I need help with this math

Answers

Answer:

2/4 x 7/10 = 14/40, or 7/20.

5/6 x 3/4 = 15/24, or 5/8

3/4 x 2/3 = 6/12, or 1/2

3/10 x 4/5 = 12/50, or 6/25

i think you can finish the rest, all you have to do is multiply the numerator and the numerator, and the denominator and the denominator.

numerator = number on the top

denominator = number on the bottom

then put the two results:

[numerator x numerator]

____________________

[denominator x denominator]

hope this helped! ^^

Answer:

u can do this  u got this

Step-by-step

If a triangle has sides of lengths 14 cm and 5 cm, what must the 3rd side 5 points
be smaller than? *
12
19
10
5

Answers

12 i think, not positive!

CAN SOMEONE ASAP HELP ME PLEASE

Answers

Answer:

Step-by-step explanation:

6+11=17/2*8=136/2

68.

Anil Kumar took a loan of Rs. 20,000 from bank at the rate of 8% per annum. At the end of 2 years, how much compound amount should he pay if the interest was compounding half-yearly? ​

Answers

Anil Kumar should pay a compound amount of Rs. 23,397.12 at the end of 2 years.

Compound interest is a method of calculating interest where the interest earned is added to the principal amount, and the resulting sum becomes the new principal for the next period's interest calculation. This process is repeated until the end of the investment period.

The formula to calculate the compound interest is:

[tex]A = P(1 + r/n)^(^n^t^)[/tex]

Where,

A = Amount after the given time

P = Principal amount (initial investment)

r = Annual interest rate (as a decimal)

n = Number of times the interest is compounded per year

t = Time duration for which the interest is calculated (in years)

In this case, Anil Kumar took a loan of Rs. 20,000 from a bank at the rate of 8% per annum, compounded half-yearly, for 2 years. Therefore, we can plug in the values as follows:

P = Rs. 20,000

r = 8% per annum = 0.08 (as a decimal)

n = 2 (since the interest is compounded half-yearly)

t = 2 years

Now, we can calculate the compound amount using the above formula:

[tex]A = P(1 + r/n)^(^n^t^)[/tex]

[tex]A = 20,000(1 + 0.08/2)^(^4^)[/tex]

[tex]A = 20,000(1 + 0.04)^4[/tex]

[tex]A = 20,000(1.04)^4[/tex]

[tex]A = 23397.1712[/tex]

Therefore, Anil Kumar should pay a compound amount of Rs. 23,397.123 at the end of 2 years.

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Which equation represents a linear function

Answers

Answer:y=-3x+10

Step-by-step explanation:

y=-3x +10 represents a linear function because it is y=mx + b form.

You have $50 in your bank account. Each week you plan to deposit $6 from your allowance and $20 from your paycheck. The equation b = 60 + (20+6)w gives the amount b in your account after w weeks. How many weeks from now will you have $215 in your bank account?

Answers

6 weeks from now, you will have $215 in your bank account

How many weeks from now will you have $215 in your bank account?

The given parameters are:

b = 60 + (20+6)w

When the account balance is $215, we have

60 + (20+6)w = 215

Subtract 60 from both sides

(20+6)w = 155

This gives

26w = 155

Divide both sides by 26

w = 5.96

Approximate

w = 6

Hence, 6 weeks from now, you will have $215 in your bank account

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-10.2m + -9.1 + -9.1m - 5.8m

Answers

Answer:

= −25.1m − 9.1

Step-by-step explanation:

Answer:

-25.1m - 9.1

Step-by-step explanation:

Please Help! Ratio question!

Answers

Answer:

10

Step-by-step explanation:

divide 1800 by 20 and 1800 by 18 and find the difference

Divide 2000 and then add what you get from that and that’ll be your answer

In a recent survey, 65 % of those responding were in favor of recycling. If 780 people were in favor of recycling, then how many responded to the survey?​

Answers

people who responded to survey are 120

Graph a right triangle with the two points forming the hypotenuse.
Using the sides, find the distance between the two points in simplest
radical form. (8,7) and (6,3)

Answers

the distance between the points (8, 7) and (6, 3) which is the hypotenuse of the triangle is 2 √ 5 units.

We need to find the distance between two points which is the hypotenuse of the triangle:

(8, 7) and (6, 3)

It can be calculated using distance formula:

D = √ (x₂ - x₁)² + (y₂ - y₁)²

Substituting the values in the formula, we get that:

D = √ (6 - 8)² + (3 - 7)²

D = √ ( - 2 )² + ( - 4 )²

D = √ 4 + 16

D = √ 20

D = 2 √ 5 units

Therefore, we get that, the distance between the points (8, 7) and (6, 3) which is the hypotenuse of the triangle is 2 √ 5 units.

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What’s the value of k ?

Answers

Hello!

[tex]\large\boxed{k = 10^{o}}[/tex]

When given two interior angles and an exterior angle, the sum of the two interior angles is equal to the sum of the exterior angle. Therefore:

m∠YZX + m∠ZXY ≅ m∠MYZ

(4k + 5)° + (6k + 10)° = 115°

Combine like terms:

10k + 15 = 115°

Subtract 15 from both sides:

10k = 100°

Divide both sides by 10:

k = 10°

Answer:

k=10

Step-by-step explanation:

First you would find the missing angle at the top this would be 65 degrees, this means that the 2 other missing angles must total to 115 degrees.

Second you would set the equations equal to 115

4k+5+6k+10=115

Then you would combine the like terms

10k+15=115

next you would subtract the 15 from both sides

10k=100

then you divide by 10

k=10

ISSS THISSSSS CORRECTTT??????please help

Answers

Answer:

I think that is correct, sorry is i get it wrong

1) Find the missing side length.
х
12 in.
18 in.

Answers

Answer:

x = 6[tex]\sqrt{5}[/tex]

Step-by-step explanation:

Using Pythagoras' identity in the right triangle.

The square on the hypotenuse is equal to the sum of the squares on the other 2 sides, that is

x² + 12² = 18²

x² + 144 = 324 ( subtract 144 from both sides )

x² = 180 ( take the square root of both sides )

x = [tex]\sqrt{180}[/tex]

  = [tex]\sqrt{36(5)}[/tex]

   = [tex]\sqrt{36}[/tex] × [tex]\sqrt{5}[/tex]

   = 6[tex]\sqrt{5}[/tex] ← exact value

find value for x please and thank you​

Answers

Answer:

x = - 3

Step-by-step explanation:

Given

3(x - 6) + 6 = 5x - 6 ← distribute and simplify left side

3x - 18 + 6 = 5x - 6

3x - 12 = 5x - 6 ( subtract 5x from both sides )

- 2x - 12 = - 6 ( add 12 to both sides )

- 2x = 6 ( divide both sides by - 2 )

x = - 3

Simplify.
Rewrite the expression in the form a^n
α· α· α· α· α· α· α
α· α· α· α· α· α
=

Answers

a^13 is the answer because there are thirteen “a”s that you are multiplying together.
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