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vodomira [7]
2 years ago
8

WILL GIVE U BRAINLIEST ♡ Rationalize the denominator of fraction with numerator square root of -36 divided by (2-3i)+(3+2i)

Mathematics
1 answer:
Dmitriy789 [7]2 years ago
7 0

Answer:

-  \frac{3}{13}  +  \frac{15i}{13}

Step-by-step explanation:

\frac{ \sqrt{ - 36} }{(2 - 3i) + (3 + 2i)}

Set up equation

Step 1: Simplify

\frac{6i}{5 - i}

Step 2:Multiply by conjugate

\frac{6i}{5 - i}  \times  \frac{5 + i}{5 + i}

Step 3:Simplify

\frac{30i + 6 {i}^{2} }{ {i}^{2} - 5 {}^{2}  }

We can reduce this and we must make the imaginary number and real number serpate equations.

-  \frac{6}{26}  +  \frac{30i}{26}

Reduce each by 2

- \frac{3}{13}  +  \frac{15i}{13}

You might be interested in
A student wants to simulate 31 ​birthdays, but she does not have a calculator or software program​ available, so she makes up 31
mihalych1998 [28]

Answer:

No, it is not okay to conduct the simulation this​ way.

Step-by-step explanation:

In statistics, simulation refers to a technique that is employed to model random events so that the results obtained from using the simulation is significantly similar to the results obtained from observing the real-world.

Researchers are therefore able to understand the real world when they observe the simulated outcomes.

From the description above, it can be seen that simulation is about studying random events. Therefore, a sample of the population that will be used in the simulation must be selected through a random sampling.

Random sampling refers to the sampling method that gives equal opportunity of being selected to each member of the population. This makes the sample selected through random sampling technique to be an unbiased representation of the total population.

As a result, making up 31 numbers between 1 and 365 by the student is not a random sampling, because his method may favor some numbers over others. It is therefore a defective method of carrying out simulation.

 Therefore, the it is not okay to conduct the simulation this​ way.

I wish you the best.

6 0
3 years ago
Help please it’s due soon
MArishka [77]

Answer: 60 degrees

Step-by-step explanation: triangles are come to 180 if you add all angles correctly. therefore if you do 180-90-30, you'll get 60.

4 0
2 years ago
If 3x^2 + y^2 = 7 then evaluate d^2y/dx^2 when x = 1 and y = 2. Round your answer to 2 decimal places. Use the hyphen symbol, -,
S_A_V [24]
Taking y=y(x) and differentiating both sides with respect to x yields

\dfrac{\mathrm d}{\mathrm dx}\bigg[3x^2+y^2\bigg]=\dfrac{\mathrm d}{\mathrm dx}\bigg[7\bigg]\implies 6x+2y\dfrac{\mathrm dy}{\mathrm dx}=0

Solving for the first derivative, we have

\dfrac{\mathrm dy}{\mathrm dx}=-\dfrac{3x}y

Differentiating again gives

\dfrac{\mathrm d}{\mathrm dx}\bigg[6x+2y\dfrac{\mathrm dy}{\mathrm dx}\bigg]=\dfrac{\mathrm d}{\mathrm dx}\bigg[0\bigg]\implies 6+2\left(\dfrac{\mathrm dy}{\mathrm dx}\right)^2+2y\dfrac{\mathrm d^2y}{\mathrm dx^2}=0

Solving for the second derivative, we have

\dfrac{\mathrm d^2y}{\mathrm dx^2}=-\dfrac{3+\left(\frac{\mathrm dy}{\mathrm dx}\right)^2}y=-\dfrac{3+\frac{9x^2}{y^2}}y=-\dfrac{3y^2+9x^2}{y^3}

Now, when x=1 and y=2, we have

\dfrac{\mathrm d^2y}{\mathrm dx^2}\bigg|_{x=1,y=2}=-\dfrac{3\cdot2^2+9\cdot1^2}{2^3}=\dfrac{21}8\approx2.63
3 0
3 years ago
Solve 5c − c + 10 = 34. <br> −6 <br> 6 <br> 11 <br> −11
natima [27]

Subtract 10 and collect terms to get the variable term by itself on the left.

... 4c = 24

Divide by the coefficient of the variable, 4.

... c = 6

The appropriate choice is the second one:

... 6

_____

You don't actually have to sove the equation to find the right answer. You just need to see which answer works.

-6: 5(-6) -(-6) +10 = -14 ≠ 34

6: 5(6) -(6) +10 = 34 . . . . . . . this answer works (you can stop here)

11: 5(11) -(11) +10 = 54 ≠ 34

-11: 5(-11) -(-11) +10 = -34 ≠ 34

7 0
3 years ago
Which expressions is the same as 1/5 of 7
Harlamova29_29 [7]
The answer is 1/5 < 35/5
8 0
2 years ago
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