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3 years ago

Simplify the given expression below: 4 divided by the quantity of 3 minus 2i

2 answers:

3 0

This is rationalising the denominator of an imaginary fraction. We want to remove all i's from the denominator.

To do this, we multiply the fraction by 1. However 1 can be expressed in an infinite number of ways. For example, 1 = 2/2 = 3/3 = 4n^2 / 4n^2 (assuming n is not zero!). Let's express 1 as the complex conjugate of the denominator, divided by the complex conjugate of the denominator.

The complex conjugate of (3 - 2i) is (3 + 2i). Then do what I just said:

4/(3-2i) * (3+2i)/(3+2i) = 4(3+2i)/(3-2i)(3+2i) = (12+8i)/(9-4i^2) = (12+8i)/(9+4) = (12+8i)/13

This is the answer you are looking for. I hope this helps :)

vova2212 [387]3 years ago

3 0

Answer:

4/(3-2i) * (3+2i)/(3+2i) = 4(3+2i)/(3-2i)(3+2i) = (12+8i)/(9-4i^2) = (12+8i)/(9+4) = (12+8i)/13

Step-by-step explanation:

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Answer:

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3 years ago

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An FBI agent orders a block of ballistics gel. The gel weighs 54 pounds per cubic foot. What is the weight of the block of gel?

Pavlova-9 [17]

Answer:

It Should Be 32

Step-by-step explanation:

Because if you add the 20 6 and 6 it gives you 32 hope this helps

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3 years ago

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In the equality 5/? = ?/20, if each ? Represents the same number, then ? Must equal :

tatiyna

Answer:

? = 10

Step-by-step explanation:

Let " ? " be x.

5 / x = x / 20

x * x = 5 * 20

x² = 100

[ 100 = 10 x 10 = 10² ]

x² = 10²

x = 10

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3 years ago

Please Help!! much appreciated! :D Find the value of y.

Ksivusya [100]

In the largest triangle, the missing side has length

√((11 + 5)² - x ²) = √(256 - x ²)

But it's also the hypotenuse of the triangle with side lengths 11 and y, so that its length can also be written as

√(11² + y ²) = √(121 + y ²)

so that

√(256 - x ²) = √(121 + y ²)

or, by taking the squares of both sides,

256 - x ² = 121 + y ²

y ² = 135 - x ²

In the smallest triangle, you have

5² + y ² = x ² ==> x ² = 25 + y ²

Substitute this into the previous equation and solve for y :

y ² = 135 - (25 + y ²)

y ² = 110 - y ²

2y ² = 110

y ² = 55

y = √55

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3 years ago

Determine which numbers the equations can be multiplied by to create opposite terms of the x-variable. 1 2 x − 1 4 y = −3 − 1 3

Julli [10]

In the elimination method one variable is eliminated from the system of equation to find the value of other.

To create the opposite terms of the x-variable-

First equation be multiplied by the number 12.
Second equation be multiplied by the number 13.

<h3>What is elimination method?</h3>

To solve the system of equation and find the value of the variables, the elimination method is used.

In this method one variable is eliminated from the system of equation to find the value of other.

Given information-

The system of equation given in the problem is,

$12x-14y=-3$ ......1

Let the above equation as equation 1.

The second equation given in the problem is,

$-13x+23y=5$ ......2

Let the above equation as equation 2.

To eliminate the x term, make the coefficient of x of both the equation equal.

It can be done by multiply the coefficient of x term of first equation to second equation and coefficient of x term of second equation to first equation.

As the coefficient of x of the equation 1 is 12. Thus multiply second equation with 12. Thus,

$12\times(-13x+23y)=12\times5$