All categories

3 years ago

What is the value of (–3 + 3i) + (–2 + 3i)

Mathematics

2 answers:

Viktor [21]3 years ago

8 0

Answer:

-5 + 6i .

Step-by-step explanation:

Given : (–3 + 3i) + (–2 + 3i).

To find : value .

Solution : We have given

(–3 + 3i) + (–2 + 3i).

On removing parenthesis

–3 + 3i –2 + 3i.

On combining like terms .

-3 - 2 +3i + 3i

-5 + 6i .

Therefore, -5 + 6i .

uysha [10]3 years ago

4 0

1) Drop the () since it's all addition and no (-) to distribute
–3 + 3i + –2 + 3i
2) add the two whole #s and the two with variable i separately
-5 + 6i

You might be interested in

The ceiling of Stacy's living room is a square that is 25 ft long on each side. Stacy

Brut [27]

Answer:

A. 35 ft.

B. 35 ft

Step-by-step explanation:

Please see attached photo for diagram.

A. Determination of the diagonal using pythagorean theorem.

A square has all sides equal. Thus, the diagonal of the square can be obtained as follow:

Ist leg (L₁) = 25 ft

2nd leg (L₂) = 25 ft

Diagonal (d) =?

d² = L₁² + L₂²

d² = 25² + 25²

d² = 625 + 625

d² = 1250

Take the square root of both side

d = √1250

d = 35 ft

B. Determination of the diagonal using trigonometry.

Since all the sides in a square are equal, the angle between each leg will be 90°. Thus, the diagonal will bisect the angle between the two leg equally i.e

Angle between Diagonal and each leg = 90/2 = 45°

Finally, we shall determine the length of the diagonal. This can be obtained as follow:

Angle θ = 45°

Opposite = 25 ft

Hypothenus = d

Sine θ = Opposite / Hypothenus

Sine 45 = 25 / d

0.7071 = 25 / d

Cross multiply

0.7071 × d = 25

Divide both side by 0.7071

d = 25 / 0.7071

d = 35 ft

6 0

3 years ago

a typical marathon is 26.2 miles Aleexis averages 12 km per 1 hour when running in marathons. Use dimensional Analysis to determ

yanalaym [24]

3 hours and 51 minutes

5 0

3 years ago

John Simone is buying a used car for a total cost of $11,805.00. He’s making a down payment of $1,500.00 and borrowing the remai

balu736 [363]

Answer:

Step-by-step explanation:

Given that John Simone is purchasing a used car for 11805 dollars.

Down payment = 1500

Net loan amount = 11805-1500 = 10305

Equal monthly instalments he paid = 343 dollars

Tenure =3 years

For 3 years rate of interest should be 12.2%

Then only we get for 3 years for the loan emi as 343

4 0

4 years ago

Han has 10 cubes, each 5 inches on a side. A) Find the total volume of Han’s cubes. Express your answer as an expression using a

g100num [7]

Answer:

A) Vol_10_cubes = 2*(5^4) inch^3

B) Area_10_cubes = (2^2)*3*(5^3) inch^2

Step-by-step explanation:

A)The volume of a cube, as all sides are equal:

Vol_cube = (side)^3

side = 5 inches

Vol_cube = 5^3 inch^3

Since we have 10 cubes

10 = 2*5

Vol_10_cubes = 2*(5^4) inch^3

B) A cube has six faces, each with area equal to its squared side

Area_cube = 6*(side)^2

Area_cube = 6*(5)^2 inch^2

Area_10_cubes = 2*5*6*(5)^2 inch^2

Area_10_cubes = (2^2)*3*(5)^3 inch^2

8 0

4 years ago

What is the definition of corresponding sides

kari74 [83]

Answer:

Corresponding sides touch the same two angle pairs.

Step-by-step explanation:

7 0

3 years ago

Read 2 more answers