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stiks02 [169]
3 years ago
12

Simplify the expression 2+3i/4+3i Please help

Mathematics
1 answer:
rjkz [21]3 years ago
7 0

Answer:

17+6i

-----------

25

Step-by-step explanation:

2+3i

---------

4+3i


We want to multiply by the complex conjugate of the denominator

4+3i has a complex conjugate of 4-3i

2+3i             4-3i

--------- * --------------

4+3i           4-3i


Lets multiply the numerator

(2+3i) ( 4-3i)

2*4 +4*3i -3i*2 - 3i*3i =

8 +12i -6i - 9i^2

Remember i^2 = -1

8 +6i -9(-1)

17 +6i


Lets multiply the denominator

(4+3i) ( 4-3i)

4*4 +4*3i -3i*4 - 3i*3i =

16 +12i -12i - 9i^2

Remember i^2 = -1

16 -9(-1)

25

Putting numerator over denominator

17+6i

-----------

25

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Allisa [31]

\boxed{\bold{\red{csc\theta=-\frac{7}{2}}}}

\large{\red{Solution\: given:}}

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we have

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8 0
3 years ago
y = 3x + 3 y = x − 1 Explain how you will solve the pair of equations by substitution. Show all the steps and write the solution
Leona [35]
Y = 3x + 3
y = x - 1

As you can see, both equations are set to equal y. This means the right sides of each equation are equal, since y is isolated in both equations. So to solve this particular system of equations for x, set the right sides of both equations equal to each other. After you've done that, you can proceed to solve the equation algebraically for the variable, x.

3x + 3 = x - 1
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Negative two is the x-value. To find the y-value, substitute -2 for x into either equation and solve algebraically for y.

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y = -2 - 1
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The final step is to check all work by plugging both x- and y-values back into both equations.

y = 3x + 3
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y = x - 1
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Answer:
(-2, -3)
5 0
4 years ago
½ of the length of rope A is equal to 3/5 of the length of rope B. Rope A is 42cm longer than rope B. How long is rope A? ​
icang [17]

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Hope this helped.

5 0
3 years ago
Equivalent expression for 90x+120
NNADVOKAT [17]
90x+120 is equivalent to 30 (3x+4)
8 0
3 years ago
The question itself if pretty explanatory I need this done quick please
aleksandr82 [10.1K]

Answer:

2\sqrt{5}

Step-by-step explanation:

8/4 = 2

\sqrt{20} / \sqrt{4} = \sqrt{5}

Therefore: 2\sqrt{5}

Hope this helps!

3 0
3 years ago
Read 2 more answers
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