Find the product of the complex number and its conjugate. 3 + 3i

Answers

Answer 1
Answer:

First, we are going to find the conjugate of our complex number. Remember that to find the conjugate of a complex number we just need to keep the real part and change the sing of the imaginary part.

We can infer from our problem that the real part of our complex number is 3 and its imaginary part is 3i. We are going to keep the real part 3 and change the imaginary part from positive to negative, so our conjugate is 3-3i.

Next, we are gong to multiply both the complex number and its conjugate using the distributive property:

(3+3i)(3-3i)=(3*3)-(3*3i)+(3*3i)-(3i*3i)=9-9i+9i-9i^2=9-9i^2

Remember that i^2=√(-1)^(2) =-1, so:

9-9i^2=9-9(-1)=9+9=18

We can conclude that the product of the multiplication of the complex number 3+3i and its conjugate, 3-3i, is 18.

Answer 2
Answer:

Product of complex number and its conjugate will be 18 .

Complex number : x ± iy

Given , 3 + 3i

Conjugate pair of complex number = x ± iy

So, the complex conjugate pair are :

3 + 3i and 3 - 3i

Product of complex conjugate pair,

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

Open the brackets,

= 9 - 9i + 9i - 9i²

Here, i = √-1 ; i² = -1

Substitute the value of iota(i),

= 9 -9i + 9i +9

= 18

Thus the product value is 18.

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The perimeter of a rectangle is 34 units. Its width W is 6.5 units. Write an equation to represent the perimeter in terms of the length L, and find the value of L.

Answers

P=2L+2W\n\nP=34\ \ \ \ \ \ W=6.5\n\n34=2L+2\cdot6.5\n34=2L+13\n34-13=2L\n2L=21\ \ \ \ \ |:2\nL=10.5\n\nLength\ is\ equal\ 10.5

Answer:

THere ya go

Step-by-step explanation:

Gaming systems are on sale for 20% off the original price (g), which can be expressed with the function p(g) = 0.8g. Local taxes are an additional 12% of the discounted price (p), which can be expressed with the function c(p) = 1.12p. Using this information, which of the following represents the final price of a gaming system with the discount and taxes applied?c(p) + p(g) = 1.92g
c[p(g)] = 0.896g
g[c(p)] = 1.92p
c(p) ⋅ p(g) = 0.896pg

Answers

If you would like to know what represents the final price of a gaming system with the discount and taxes applied, you can calculate this using the following steps:

p(g) = 0.8 * g
c(p) = 1.12 * p

1.12 * p = 1.12 * 0.8 * g = 0.896 * g = c(p(g)) = c[p(g)]

The correct result would be c[p(g)] = 0.896g.

Answer:

B c[p(g)] = 0.896g

Step-by-step explanation:

what is the probability that the first card is a king and the second card is a king if the sampling is done with replacement?

Answers

Answer:  1/169

The calculation would be (4/52)*(4/52) which is the same as (1/13)^2

The 4/52 refers to the fact there are 4 kings out of 52 cards total.

The 1/13 is the idea where there's 1 king in any given suit of 13 cards.

1/5 x (6 x 4) answer now....

Answers

Answer:

the answer will be...

4.8!!!

Step-by-step explanation:

1/5 x (6 x 4) =

1/5 x 24 = 4.8

or.....

0.2 x 24 =

4.8

An object with a mass of 6.3 kg has a mass of 7.1newtons applied to it, what is the resulting acceleration of the object

Answers

Since, a = F (net) / m (net)
Therefore a = 7.1 / 6.3 = 1.13 m/sec^2

How many times can 8 go into 66

Answers

8 can go 8.25 or 8 1/4 times in 66. This is done by using a basic mathematical operation which is division. 66 is divided by 8 which will give us the result of 88.25 or in fraction form it would be 8 1/4.

A 8 can go into 66 eight times, with a remainder of 2.

To calculate how many times 8 can go into 66, we need to perform long division.

Step 1: Set up the long division:

     8 | 66

Step 2: Determine how many times 8 can go into the first digit of 66 (which is 6). It goes 8 times (8 x 8 = 64). Write 8 above the division bar.

     8 | 66

        8

Step 3: Subtract 64 from 66 to get the remainder. Bring down the next digit (which is 6).

     8 | 66

        8

       ---

         26

Step 4: Determine how many times 8 can go into 26. It goes 3 times (8 x 3 = 24). Write 3 above the division bar.

     8 | 66

        8

       ---

         26

        24

Step 5: Subtract 24 from 26 to get the remainder. There is no more digit to bring down, so the division is complete.

     8 | 66

        8

       ---

         26

        24

       ---

          2

The final result is 8 times with a remainder of 2. Therefore, 8 can go into 66 eight times, with a remainder of 2.

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