MATHEMATICS MIDDLE SCHOOL

If the complex number x = 3 + bi and |x|^2 = 13, which is a possible value of b? A. 2
B. 3
C. 9
D. 10

20 points to the brainliest user!!!!

Answers

Answer 1

Answer:

If x=3+bi, then

$|x|=√(3^2+b^2).$

You know that $|x|^2=13,$ then

$\left(√(3^2+b^2)\right)^2=13,\n \n 9+b^2=13,\n \nb^2=4,\n \nb=\pm 2.$

Two possible complex numbers satisfy these conditions:

$x_1=3+2i, \ x_2=3-2i.$

As you can see the possible value of b is 2.

Answer: correct choice is A.

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Answers

it all goes to water lic sorse so 1 pc = 1c

10 pint is 5 quarts
15 pint is 30 cups
7 cup is 56 ounces

PLEASE HELP! Shaquira is baking cookies to put in packages for a fundraiser. Shaquira has made 86 chocolate chip cookies and 42 sugar cookies.
Shaquira wants to create identical packages of cookies to sell, and she must use all of the cookies.
What is the greatest number of identical packages that Shaquira can make?

Answers

She can make 42 identical packages which contains 2 chocolate chip cookies and 1 sugar cookies.

86 / 2 = 43 chocolate chips cookies
42 / 1 = 42 sugar cookies

Though the chocolate chip cookies can make 43 packs, the sugar cookies cannot fulfill the extra pack for it only has 42 pieces. That is why the maximum number of package that has identical content is 42 packages.

Answer:

2 packages

Step-by-step explanation:

How many oranges are in 7/10 and divide that by 9/11

Answers

Step-by-step explanation:

I would say there are 7 oranges out of ten, ummm and

7/10 divided by 9/11

=77/90

(not really sure what your asking)

Delaney has 4 times as many books as she has movies. If she buys 15 more movies ( but no more books ), her ratio of movies to books will be 2:3. How many movies and how many books does she currently have?

Answers

Answer:

Delaney has 36 books and 24 movies currently

Step-by-step explanation:

Given:

Delaney has 4 times as many books as she has movies.

she buys 15 more movies

Ratio of movies to books = 2:3

To Find:

The number of books and movies she is having currently = ?

Solution:

Let the number of movies be x

Then the number of books is 4x

After she buys 15 books, the number of books will be

x+15

Now the ratio of movies to books is 2 : 3

$(2)/(3) = (x+15)/(4x)$

On solving

$3 *(x+15) = 2 * 4x$

$3x+45 =8x$

$45 =8x-3x$

$45 =5x$

$x =(45)/(5)$

x = 9

The number of book is

=> $4 * x$

=> $4 * 9$

=> 36

The number of movies is

=>x + 15

=>9+15

=> 24

What is 34-34

(A) 0

(B) 90

(C) 7

(D) 12

Answers

Answer:

Step-by-step explanation:

Answer/Step-by-step explanation:

34 - 34= 0

It basically undoes what is being done and gets rid of its worth.

Simplify -8+6i/4-2i

Answers

Answer:

-1.1+0.4i

Step-by-step explanation:

Multiply the numerator and the denominator by $4+2i:$

$(-8+6i)/(4-2i)\cdot (4+2i)/(4+2i)=(-32-16i+24i+12i^2)/(4^2-(2i)^2)\ \ [\text{use formula }a^2-b^2=(a-b)(a+b)]\n \n=(-32+8i-12)/(16-4i^2)\ \ [\text{remember }i^2=-1]\n \n=(-44+8i)/(16+4)\n \n=(-44+8i)/(20)\n \n=-(11)/(10)+(4)/(10)i\n \n=-1.1+0.4i$