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2 years ago

Which expression represents the number 4+−25−−−−√ rewritten in a+bi form?

Mathematics

1 answer:

mr_godi [17]2 years ago

4 0

Answer:

Option A. 4+5i

Step-by-step explanation:

we know that

The form of (a + bi) is known as a complex number where a and b are real numbers and i is an imaginary number equivalent to the square root of negative 1

we have the number

$4+\sqrt{-25}$

Remember

$i=\sqrt{-1}$

substitute

$4+\sqrt{-25}=4+\sqrt{(-1)(25)}=4+5\sqrt{(-1)}=4+5i$

You might be interested in

Solve the following system of equations <br> Y= -2x – 3<br> 4y + x =16

Aleksandr-060686 [28]

Answer:

(-4,5)

*View attached graph*

Step-by-step explanation:

y = -2x - 3

4y + x = 16

4(-2x - 3) + x = 16

-8x - 12 + x = 16

-7x - 12 = 16

+12 + 12

-7x = 28

/-7 /-7

x = -4

4y + x = 16

4y + (-4) = 16

4y - 4 = 16

+ 4 + 4

4y = 20

/4 /4

y = 5

(x,y) -> (-4,5)

Hope this helps!

6 0

2 years ago

Select the correct answer.

hram777 [196]

Answer:

I think the answer is C.

Step-by-step explanation:

The law of exponents states that when you divide the same base you subtract the exponents.

6 0

3 years ago

Two roads intersect at right angles. You are standing 24 meters north of the intersection on one of the roads. You are watching

Mrrafil [7]

Answer:

112 meters

Step-by-step explanation:

5 0

2 years ago

In 1990, the population of Boston, Massachusetts was 574,283. In 2000, the population was 589,141. What is the percent of change

MrMuchimi

Answer:

Percent of change in population is $2.6$ %

Step-by-step explanation:

Given population of Boston is $574,283$ measured in year $1990$ .

And population of Boston in year $2000$ is $589,141$ .

We need to find percent of change in population.

So, percent change $=\frac{New\ population-Old\ population}{Old\ population}\times100$ %

Here old population is $574,283$ and new population is $589,141$

Plugging these value in formula we get,

Percent change $=\frac{589,141-574,283}{574,283}\times100\\\\=\frac{14858}{574,283}\times100=0.0258\times100\\\\=2.587$

Rounding to nearest tenth 2.6%

8 0

3 years ago

The distance between the cities Chicago and Toronto is 540 miles. A motorcycle's speed is 48 mph. For a car, it takes 2.25 hours

serious [3.7K]

Answer:

5 hours

Step-by-step explanation:

given :

Distance between the cities = 540 miles

Speed of motorcycle =48 mph

TO CALCULATE THE TIME TAKEN BY MOTORCYCLE TO COVER THE TOTAL DISTANCE WE USE THE FORMULA :

$\frac{DISTANCE}{SPEED}$

By putting given values in the formula we get :

$\frac{540}{48}$

= 11.25 hours

Now, We are given that for a car to cover the same distance it takes 2.25 hours less than the time taken by motorcycle

⇒ 11.25 hours - 2.25 hours

⇒ 9 hours

Thus , Time taken by car to cover the same distance is 9 hours .

Now to calculate speed of car by using formula:

$\frac{distance}{time}$

$\frac{540}{9}$

= 60 mph

Let t be the time taken to meet if they start moving towards each other.

So distance covered by motorcycle in t hours is

speed\times time

= 48t miles

Distance covered by car in t hours is

speed\times time

= 60t miles

⇒ 60t + 48t =540

⇒ 108t = 540

⇒ t= 5 hours

Therefore, time taken to meet if they start moving towards each other is 5 hours.

7 0

3 years ago