BEST ANSWER GETS A METAL!!!!Which pair of complex numbers has a real-number product?

(1 + 3i)(6i)
(1 + 3i)(2 – 3i)
(1 + 3i)(1 – 3i)
(1 + 3i)(3i)

Answers

Answer 1
Answer:

we will proceed to verify each case to determine the solution

remember that

i^(2) =-1

case A)(1 + 3i)(6i)

applying distributive property

(1 + 3i)(6i)=1*6i+3i*6i \n=6i+18i^(2)\n=6i+18*(-1)\n=6i-18

-18+6i ------> is not a real number

therefore

the case A) is not a real number product

case B)(1 + 3i)(2-3i)

applying distributive property

(1 + 3i)(2-3i)=1*2+1*(-3i)+3i*(2)+3i*(-3i)\n=2-3i+6i-9i^(2)\n=2+3i-9*(-1) \n=11+3i

11+3i ------> is not a real number

therefore

the case B) is not a real number product  

case C)(1 + 3i)(1-3i)

applying difference of square

(1 + 3i)(1-3i)=(1)^(2)-(3i)^(2)\n=1-9i^(2)\n=1-9*(-1) \n=10

10 ------> is a real number

therefore

the case C) is  a real number product  

case D)(1 + 3i)(3i)

applying distributive property

(1 + 3i)(3i)=1*3i+3i*3i \n=3i+9i^(2)\n=3i+9*(-1) \n=3i-9

-9+3i ------> is not a real number

therefore

the case D) is not a real number product

the answer is

(1 + 3i)(1-3i)

     

Answer 2
Answer: The answer is (1 + 3i)(1 – 3i).


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Answers

The most logical answer to this is the third option:

the number of music lovers in the city

Since this variable will most likely be related to the number of concerts in  a city and the number of local radio channels in the same place

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Answers

1. (-1,4)(1,4)(-2,4)(2,4) is a function because it has no repeating x values.

2. A is a subset of B because everything in A is in B ?? not sure exactly what u r looking for 

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4. the intersection of A and C is { empty set } because they have no letters in common

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6. the union of B and C is { a,b,e,g,i,l,o,r,u }

7. set A is an empty set

8. the union of A and B is { a,b,e,g,i,l,o r,u }

9. 5(3 + 2) = 15 + 10....distributive property

10. f(x) = 3x - 1.......f(-2) = 3(-2) - 1 = -6 - 1 = -7
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11. { -6,-5,-4,-3,-2,-1 }

18 Alexis washes 10 windows in hour At this rate, how many windows can she wash in one hour?

Answers

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Answers

If you would like to know the value of f(4), you can calculate this using the following steps:

f(n) = 1/2 * f(n-1) + 2
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f(2) = 1/2 * f(2-1) + 2 = 1/2 * f(1) + 2 = 1/2 * 8 + 2 = 4 + 2 = 6
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The correct result would be 4 1/2.

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Answers

The graph of linear inequality (2y > x – 2) can be drawn by determining the x-intercept and y-intercept of the equation (2y = x - 2).

Given :

Inequality -- 2y > x – 2

The graph of the inequality can be drawn by using the following steps:

Step 1 - First find the y-intercept by putting (x = 0) in equatiuon (2y = x – 2).

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y = -1

Step 2 - Now, find x-intercept by putting (y = 0) in equatiuon (2y = x – 2).

0=x-2

x = 2

Step 3 - Now, draw the line that passes through (0,-1) and (2,0).

Step 4 - Now, shade the upper part of the line, the resulting graph is the graph of (2y > x – 2).

Therefore, the correct option is C).

For more information, refer to the link given below:

brainly.com/question/4700926

The answer is 3C. Rate 5 stars

Which binomial must be added to (4r+10) so that the sum of the two polynomials is (6r-2) ?

Answers

Answer: 2r-12

Step-by-step explanation:

(4r+10)+____=(6r-2)

_____=(6r-2)-(4r+10)

_____=6r-2-4r-10

_____=2r-12