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kozerog [31]
2 years ago
11

If the complex number x = 3 + bi and |x|2 = 13, which is a possible value of b?

Mathematics
1 answer:
Naddika [18.5K]2 years ago
3 0

Answer:

A: 2

Step-by-step explanation:

EDGE 2021

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What shapes does a kite consist of? ​
Oduvanchick [21]

Step-by-step explanation:

A kite is a special case of quadrilateral. In which larger diagonal bisects the smaller diagonal at right angle.

A kite is a quadrilateral whose four sides can be grouped into two pairs of equal-length sides that are adjacent to each other. In contrast, a parallelogram also has two pairs of equal-length sides, but they are opposite to each other rather than adjacent.

4 0
3 years ago
The standard configuration for an Arizona license plate is 3 digits (0 - 9) followed by 3 letters (of 26). If you can not repeat
Anna71 [15]

Answer:

11232000 plates can be made.

Step-by-step explanation:

The order of the digits and of the letters is important. For example, ABC is a different configuration than CBA. So we use the permutations formula to solve this question.

Permutations formula:

The number of possible permutations of x elements from a set of n elements is given by the following formula:

P_{(n,x)} = \frac{n!}{(n-x)!}

In this question:

3 digits from a set of 10(there are 10 digits from 0 to 9).

3 letters from a set of 26. So

Total:

T = P_{(10,3)} \times P_{(26,3)} = \frac{10!}{(10-3)!} \times \frac{26!}{(26-3)!} = 11232000

11232000 plates can be made.

5 0
3 years ago
Which is a factor of the polynomial f(x) = 6x4 – 21x3 – 4x2 + 24x – 35?
QveST [7]
<span>I note that this problem starts out with "Which is a factor of ... "  This implies that you were given several answer choices.  If that's the case, it's unfortunate that you haven't shared them.

I thought I'd try finding roots of this function using synthetic division.  See below:

f(x) = 6x^4 – 21x^3 – 4x^2 + 24x – 35
Please use " ^ " to denote exponentiation.  Thanks.

Possible zeros of this poly are factors of 35:  plus or minus 1, plus or minus 5, plus or minus 7.  Use synthetic division; determine whether or not there is a non-zero remainder in each case.  If none of these work, form rational divisors from 35 and 6 and try them:  5/6, 7/6, 1/6, etc.

Provided that you have copied down the function 
</span>f(x) = 6x^4 – 21x^3 – 4x^2 + 24x – 35  properly, this approach will eventually turn up 1 or 2 zeros of this poly.  Obviously it'd be much easier if you'd check out the possible answers given you with this problem.

By graphing this function, I found that the graph crosses the x-axis at 7/2.  There is another root.

Using synth. div. to check whether or not 7/2 is a root:

         ___________________________
7/2   /   6    -21    -4    24    -35
                   21      0   -14     35           
        ----------- ------------------------------
           6        0     -4    10       0

Because the remainder is zero, 7/2 (or 3.5) is a root of the polynomial.  Thus, (x-3.5), or (x-7/2), is a factor.

7 0
3 years ago
Read 2 more answers
Can anyone help ? I need to answer it for my homework today
Rus_ich [418]
Robot 1- W = 20(3m) W= 60Nm
Robot 2- W= 30N (3m), W = 90Nm
Robot 3- W= 10N(2m), W= 20Nm
Robot 4- W= 30N(2m), W= 60Nm

Robot 2 did the most work, Robot 3 did the least amount of work and Robots, 1 and 4 did an equal amount of work
5 0
3 years ago
1. What is the value of x?
lara31 [8.8K]
Is there any option to choose from ?

If so show them and I’ll probably be able to answer .
6 0
2 years ago
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