Write (-2 − 2i) + (10 − 4i) as a complex number in standard form.

A.
-4 + 6i

B.
8 − 6i

C.
6

D.
12 − 6i

Answer:

-38/7

Step-by-step explanation:

We are given [tex]-\frac{5}{4}(\frac{8}{7}+\frac{16}{5})\\[/tex]. First find the sum of the fractions in the parentheses. The greatest common multiple is 35 so we have [tex]\frac{8}{7}+\frac{16}{5}=\frac{40}{35}+\frac{112}{35}[/tex].

The sum of [tex]\frac{40}{35}+\frac{112}{35}[/tex] is [tex]\frac{152}{35}[/tex].

Now we multiply it by [tex]-\frac{5}{4}[/tex] so we have

[tex]\\-\frac{5}{4} \cdot \frac{112}{35}\\=-\frac{1}{7}\cdot \frac{38}{1}\\=\boxed{-\frac{38}{7}}\\[/tex]

Answer using slope formula:

[tex]\frac{y2-y1}{x2-x1}[/tex]

We can find the slope.

Substitute:

[tex]\frac{5-2}{2-1}[/tex]

Subtract:

[tex]\frac{3}{1}[/tex]

[tex]\frac{3}{1}= 3[/tex]

Our slope is 3.

Now we will use Point Slope formula:

[tex]y-y1=m(x-x1)[/tex]

To find our equation.

I will use the first ordered pair, (1,2).

Substitute:

[tex]y-2=3(x-1)[/tex]

Your answer is C. (y − 2) = 3(x − 1).

Hope this helped! :)

Answer:

60%

Step-by-step explanation:

The original was $20 to $12, so if you divide both prices by 2 (to make one side 10 and the other the simplified percentage) you get:

10 to 6.

Percentages are typically x% out of 100, so if you multiply both by 10 you get:

100 to 60. All you have to do now is change the format to percentage instead of a fraction (60/100) and the answer is 60%.

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Answer:

a i think

Step-by-step explanation:

Answer:

7 full laps

Step-by-step explanation:

let x= how many laps

[tex]\frac{3}{8} =\frac{x}{20}[/tex]

cross multiply

60=8x

60/8=x

7.5=x

7 full laps (because 0.5 is half a lap)

Answer:

7 full laps

let x= how many laps

cross multiply

60=8x

60/8=x

7.5=x

7 full laps (because 0.5 is half a lap)

Step-by-step explanation:

Answer:

c

Step-by-step explanation:

The correct statement is John’s boat was farther from the dock at the beginning, and it traveled more quickly option (C) is correct.

It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.

If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.

It is given that:

Two sailboats are traveling along the same path away from a dock, beginning from different locations at the same time.

y = 5x+25

at starting x=0

y = 25 miles away from the dock

x = 5

y = 5×5+25

y = 50 miles

= (50 - 25)/5

= 5

Thus, the correct statement is John’s boat was farther from the dock at the beginning, and it traveled more quickly option (C) is correct.

Learn more about the linear equation here:

brainly.com/question/11897796

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Answer:

area is 100m  bc u do 10 times 10

Step-by-step explanation:

Answer:

139.27 meters squared

Step-by-step explanation:

So what you're doing is calculating the square's area and half of the circle's area.

The square's area is 100m^2 since 10*10=100

For the circle part, you use πr^2. You know the diameter of the circle, and radius is half of the diameter, so 10/2=5.

π*5^2 = 78.54 m^2

Since you have half of a circle you divide this by 2.

39.27

Finally you add your two areas together

100+39.27=139.27 meters ^2

Answer:

18 miles per gallon

Step-by-step explanation:

We get this by taking 2,250 (the distance traveled) divided by 125 (the amount of gas used)

Answer:

18 dots

____________________________________________________

The number of dots in the step 4 are eighteen.

A number system is defined as a system of writing to express numbers.

From the figure, In step 0 there are two dots.

In step 1 there are three dots

In step 2 there are six dots

In step 3 there are eleven dots

We need to find the number of dots in step 4.

2+ 1=3

3 + 3 = 6

6 + 5 = 11

11+7=18

The sequence of odd numbers are added.

Hence, in step 4 there are 18 dots

To learn more on Number system click:

https://brainly.com/question/22046046

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Answer:

75 degrees

Step-by-step explanation:

All the angles within a triangle added together equals 180 degrees, so:

x + 25 + 2x - 5 + x = 180

add like terms

4x + 20 = 180

subtract 20 from both sides

4x = 160

divide by 4

x = 40

Now input 4 into the equation for C

2(40) - 5 = 80 - 5 = 75

Answer

it depends if you're on your period and if not then it could be something is but  if you're girl its a vaginal discharge is normal start by wearing panty liners to stop it and leaving on to that you'll get your period

Step-by-step explanation:

Answer:

y = negative 1 over 2x + 11

Step-by-step explanation:

I know this because I had the same test as you and that is what I put and I got it right.

Answer:

there aren't any options. but quadrant four would have a (x,-y) set up. positive x-values, but negative y-values.

Answer:

62%

take 50*2=100 so you get 100%

next you have to multiply 31*2= 62=62%

do this if you have an even number to get to 100%, its quite simple once you get the hang of it

hope this helps, Mark brainiest?

Answer:

4.5

Step-by-step explanation:

15 x 0.30

Answer:

$35

Step-by-step explanation:

$15 divided by 30%=$50

$50 was the original price

50-15=35

$35 was the discounted price

Answer:

Step-by-step explanation:

Step one:

given data

we are told that she got charged $250

time of the tutoring = 11 hours

Step two:

Required

The unit rate: this is defined as the cost per item, in this case, it is the cost per unit of time, Hence

the unit rate

=250/11

=$22.72  per hour

Answer:

24 is the least number of hamburger patties and buns Mr. Martinez will have to buy.

Step-by-step explanation:

You need to find the LCM of 6 and 8. The number they have first have common is 24

Answer:

x=(-6)

Step-by-step explanation:

Answer:

x= -6

Step-by-step explanation:

5x-10= -40

add 10 to both sides

5x= -30

divide both sides by 5

x= -6

Answer:

n > 5

Step-by-step explanation:

Answer:

3n + 2 > 17

Step-by-step explanation:

3n + 2 > 17

-2 -2

3n > 15

÷3 ÷3

n > 5

Answer:

13 buttons

Step-by-step explanation:

The first step is to add the buttons received by the 6 students.

= 10 + 14 + 15 + 12 + 13 + 14

= 78 buttons

Therefore the number of buttons received by each students can be calculated as follows

= 78/6

= 13 buttons

Hence each student will receive 13 buttons

Answer: 32 first 12 second 16 last Yw!

Step-by-step explanation:

Answer:

-5.8

Step-by-step explanation:

-2-.7-3-.1= -5.8

Answer: -5.8

Glad I could help!

Answer:

The length of the sides are;

2.3, 2.3 and 1

Step-by-step explanation:

If the equal sides are 3x-0.4 and x + 1.4

This means these two are equal to one another

Thus;

3x-0.4 = x + 1.4

3x-x = 1.4 + 0.4

2x = 1.8

x = 1.8/2

x = 0.9

So the length of the sides are as follows;

3x - 0.4

3(0.9)-0.4 = 2.3

x + 1.4

= 0.9 + 1.4 = 2.3

And lastly

x + 0.1

0.9 + 0.1 = 1

Answer:

$0.15

Step-by-step explanation:

Answer:

0.149

Step-by-step explanation:

2.98 divided by 20 = 0.149

Answer - 0.149

Answer:

C = $30 + $15h

Step-by-step explanation:

Given that:

Hourly rate = $15

One time fee = x

Amount charged for an hour of service = $45

Hence,

One time fee + $15* 1 = $45

One time fee = $45 - $15

One time fee = $30

Hence, total charge C for h hours of landscaping:

Total charge = one time fee + (hourly charge * number of hours)

C = $30 + $15h

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1/4 = 18

Or

Answer = 31.5