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3 years ago

(1+2i) (2+5i)

Mathematics

1 answer:

Lostsunrise [7]3 years ago

5 0

Answer:

Step-by-step explanation:

first multiply 1 with 2+5i then multiply 2i with 2+5i and you will get

2+5i+4i+10i^2

then in the next step add 4i and 5i you will get 9i

in the next step put i^2=-1 and you will get -10

in the last step just substract 2-10 you will get -8 and 9i

and your answer will be -8+9i

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A ditch contains 10 centimeters of water. Rainwater accumulates in the ditch as follows: 10 centimeters of water by the end of t

kondaur [170]

Firstly, let's create a function of f(t) where t represents the time that has past, and f(t) represents the amount of rainwater. We know that when t=1, then f(t)=10, and t=2 then f(t)=15. So, let's take that and analyze it:

(1,10)
(2,15)
m = (15-10)/(2-1) = 5
y-intercept = 5
∴ f(t) = 5t+5

Now we just evaluate t for 10:

f(10) = (5*10)+5
f(10) = 55

3 0

3 years ago

A jet plane can carry up to 200,000 liters of fuel. It used 130,000 liters of fuel during a flight. What percentage of the fuel

-Dominant- [34]

Given:

Capacity of jet plane = 200,000 liters of fuel

Fuel used during flight = 130,000 liters

To find:

The percentage of the fuel capacity it uses on this flight.

Solution:

According to the question, we need to find 130,000 is what percent of 200,000.

$\text{Required percentage}=\dfrac{\text{Fuel used during flight}}{\text{Capacity of jet plane}}\times 100$

$\text{Required percentage}=\dfrac{130000}{200000}\times 100$

$\text{Required percentage}=65$

Therefore, the jet plane uses 65 percent of fuel capacity during flight.

6 0

3 years ago

Solve x + 3y = 9 3x – 3y = -13 (1 point)

zavuch27 [327]

Answer:

(-1, 10/3)

x = -1

y = 10/3

Step-by-step explanation:

To solve a system, one of the methods you can use is elimination. To use elimination, you need a variable to have the same coefficient in BOTH equations. Since both equations have "3y", with the same coefficient (3), we can use this method.

We want to eliminate a variable by cancelling it out. Since positive 3y PLUS negative 3y is 0, the variable in eliminated. ADD each of the terms in the equations together.

. x + 3y = 9

+ 3x – 3y = -13

. 4x – 0y = -4 3y - 3y = 0

. 4x = -4 Divide both sides by 4 to isolate 'x'

. x = -1 Solved for the x-coordinate

Since we know one variable, 'x', we can easily find the other, 'y'. Substitute 'x' with -1 in any of the equations. Then, isolate 'x'.

x + 3y = 9

(-1) + 3y = 9

-1 + 1 + 3y = 9 + 1 Add 1 to both sides to cancel out left side.

3y = 9 + 1 Add on the right side (9 + 1 = 10)

3y = 10 Divide both sides by 3 to isolate 'y'

y = 10/3 Solved for the y-coordinate

Put the 'x' and 'y' coordinates together in an ordered pair, which you write as (x, y).

The solution to the system is (-1, 10/3).

5 0

3 years ago

An airplane leaves Los Angeles and travels five hours to New YorkCity. The return trip travels along the same route and takes si

finlep [7]

The distance of the plane flies between the two cities is 1,113.75 miles

The formula for calculating the distance travelled is expressed as:

D = vt where:

v is the speed

t is the time taken

Given the following:

v = 99mi/hr

Total time taken = 5hr + 6.25hr

Total time taken = 11.25hr

Get the required distance

Distance = 99mi/hr * 11.25hr

Distance = 1,113.75miles

Hence the distance of the plane flies between the two cities is 1,113.75 miles

learn more here: brainly.com/question/7245260

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3 years ago

The ratio of men to women working for a company is 7 to 5. If there are 140 women working for the company, what is the total num

katrin2010 [14]

Step-by-step explanation:

Assuming that the company only consists of men and women, then the ratio of women to the total number of employees in the company is 5 : (7 + 5) = 5 : 12.

Since there are 140 women working for the company, there are 140 * 12/5 = 336 employees.

4 0

3 years ago

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