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3 years ago

What is the product of the complex number z1 and it’s conjugate? PLEASE HELP GRAPH in picture

Mathematics

2 answers:

Leviafan [203]3 years ago

4 0

Answer:

$(-4-3i) (- 4 + 3i) = 25$

Step-by-step explanation:

Notice in the graph that z1 has a real component of -4 and an imaginary component of -3.

Then we know that:

$z_1 = -4-3i$

By definition for an imaginary number of the form $a-bi$ its conjugate will always be the number $a + bi$

So the conjugate of $z_1$ is:

$-4 + 3i$

The product of both numbers is:

$(-4-3i) (- 4 + 3i) = 16-12i + 12i-9i ^ 2\\\\(-4-3i) (- 4 + 3i) = 16-9 (-1)\\\\(-4-3i) (- 4 + 3i) = 16 + 9\\\\(-4-3i) (- 4 + 3i) = 25$

12345 [234]3 years ago

3 0

Answer:

The product is 25

Step-by-step explanation:

we know that

The complex number z1 is equal to

z1=(-4-3i)

we know that

To find the complex conjugate of (-4 - 3i) we change the sign of the imaginary part

The conjugate is equal to (-4+3i)

therefore

$(-4-3i)(-4+3i)=16-9(-1)=25$

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Which represents a quadratic function ?

mars1129 [50]

Answer:

$\boxed{\boxed{B.\ f(x)=\dfrac{3}{4}x^2+2x-5}}$

Step-by-step explanation:

Quadratic function-

It is a function that can be represented by an equation of the form $f = ax^2 + bx + c$ , where $a\neq 0$

In a quadratic function, the greatest power of the variable is 2.

As in the first option the highest power is 3, so it is not a quadratic function.

Even though the power of x is 2 in the third option, but as it is in the denominator, so the overall power of x becomes -2. Hence it is not a quadratic function.

As the coefficient of $x^2$ is 0 in case of fourth option, so it is not a quadratic function.

Equation in option 2 satisfies all the conditions of quadratic function, hence it is the quadratic function.

8 0

3 years ago

Read 2 more answers

HELP I NEED HELP ASAP

harina [27]

Maybe the Answer is B.

B.) 0.03%

8 0

3 years ago

Tomas is finding the coordinates of point A. He knows that point A has an x-coordinate of 8. He starts to compute the value of t

Contact [7]

The complete question is

"Tomas is finding the coordinates of point A. He knows that point A has an x-coordinate of 8. He starts to compute the value of the y-coordinate. Complete Tomas’s work to answer the question.

Which is the coordinate of point A? (8, –6) (–6, 8) (6, –8) (–8, –6)"

<h3>How to find the coordinates?</h3>

The order can be written as, (x,y).

Tomas is trying to find the coordinates of point A.

x- coordinate of Point A is given as 8.

Among the four given options, only option A has x, coordinate as 8.

So, Coordinate of Point A = (8, -6).

Hence, the correct Option is A (8, -6).

Learn more about Coordinate ;

brainly.com/question/7853289

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7 0

2 years ago

In a football or soccer game, you have 22 players, from both teams, in the field. what is the probability of having at least any

Tamiku [17]

We can solve this problem using complementary events. Two events are said to be complementary if one negates the other, i.e. E and F are complementary if

$E \cap F = \emptyset,\quad E \cup F = \Omega$

where $\Omega$ is the whole sample space.

This implies that

$P(E) + P(F) = P(\Omega)=1 \implies P(E) = 1-P(F)$

So, let's compute the probability that all 22 footballer were born on different days.

The first footballer can be born on any day, since we have no restrictions so far. Since we're using numbers from 1 to 365 to represent days, let's say that the first footballer was born on the day $d_1$ .

The second footballer can be born on any other day, so he has 364 possible birthdays:

$d_2 \in \{1,2,3,\ldots 365\} \setminus \{d_1\}$

the probability for the first two footballers to be born on two different days is thus

$1 \cdot \dfrac{364}{365} = \dfrac{364}{365}$

Similarly, the third footballer can be born on any day, except $d_1$ and $d_2$ :

$d_3 \in \{1,2,3,\ldots 365\} \setminus \{d_1,d_2\}$

so, the probability for the first three footballers to be born on three different days is

$1 \cdot \dfrac{364}{365} \cdot \dfrac{363}{365}$

And so on. With each new footballer we include, we have less and less options out of the 365 days, since more and more days will be already occupied by another footballer, and we can't have two players born on the same day.

The probability of all 22 footballers being born on 22 different days is thus

$\dfrac{364\cdot 363 \cdot \ldots \cdot (365-21)}{365^{21}}$

So, the probability that at least two footballers are born on the same day is

$1-\dfrac{364\cdot 363 \cdot \ldots \cdot (365-21)}{365^{21}}$

since the two events are complementary.

8 0

3 years ago

SOMEONE HELP ME PLEASE

yawa3891 [41]

Answer:

x=8

Step-by-step explanation:

the y-value in the first pair decreased by half, so the x-value must double due to inverse variation.

8 0

3 years ago