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topjm [15]
4 years ago
10

Express in terms of i.

Mathematics
1 answer:
jeyben [28]4 years ago
3 0

Answer:

  0+\sqrt{13}\,i

Step-by-step explanation:

The square root of a negative number is imaginary. There is no real part to the number shown here.

  \sqrt{-13}=\sqrt{-1}\cdot\sqrt{13}=i\sqrt{13}\\\\=0+\sqrt{13}\,i

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shutvik [7]

Given:

The system of equations is

x+3y=42       ...(i)

2x-y=14        ...(ii)

To find:

The number that must be multiplied with the second equation to eliminate the y-variable.

Solution:

Coefficient of y variable in equation (i) is 3 and in equation (ii) is -1.

To eliminate y-variable the absolute value of coefficients of y-variables should be same.

So, we need to multiply the second equation by 3 to eliminate the y-variable

Multiplying equation (ii) by 3, we get

6x-3y=42      ...(iii)

Adding (i) and (iii), we get

x+3y+6x-3y=42+42

7x=84

Divide both sides by 7.

x=12

Put x=12 in (i).

12+3y=42

3y=42-12

3y=30

Divide both sides by 10.

y=10

Therefore, x=12 and y=10.

7 0
3 years ago
Read 2 more answers
Solve the system of linear equations by elimination.<br><br> −x+3y=0<br><br> x+3y=12
Natali5045456 [20]

Answer:

(6,2)

Step by Step explanation:

1- Add the two equations so the Xs cancel out

2- find y by dividing 6 from both sides

3- plug in the y value in the place of the y in one of the equations

4- solve the equation to find X

5 - put answer in correct format (x,y)

5 0
3 years ago
The length of a room is 8 feet more than twice width. If it takes 124 feet of molding to go around the perimeter of the room, wh
guajiro [1.7K]
Width- 18 ft
Length- 44 ft

3 0
4 years ago
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If the base of a triangle is 20mm and the area of the triangle is 40m2. then what will be the height and how can we find it​
Eddi Din [679]

Use the formula for area of a triangle:

Area = 1/2 x base x height.

Fill in what you know:

40 = 1/2 x 20 x height

Multiply both sides by 2:

80 = 20 x height

Divide both sides by 20

Height = 4 m

3 0
3 years ago
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14. A company rents bicycles for a fee of $10 plus
Rashid [163]

Answer:

10+4h

Step-by-step explanation:

variation

the constant $10+the variable( 4×hpw many hours used).will give me that answer.

8 0
4 years ago
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