1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
nikdorinn [45]
3 years ago
9

Which equation demonstrates the multiplicative identity property

Mathematics
2 answers:
Sveta_85 [38]3 years ago
6 0

The option B \boxed{\left( { - 3 + 5i} \right)\left( 1 \right) =  - 3 + 5i} demonstrates the multiplicative identity.

Further explanation:  

The equation that satisfies the condition of multiplicative identity for the complex number can be represented as,

a \times b = a = b \times a  

Here, a is the multiplicative identity and it can be observed that the multiplicative identity would be 1 where b is the complex number.

The equation that satisfies the condition of additive identity for the complex number can be represented as,

a + b = a = b + a  

Here,  is the additive identity and it can be observed that the additive identity would be 0 where b is the complex number.

Step by step explanation:

We have to determine the multiplicative identity property among all the options.

Option A:  \left( { - 3 + 5i} \right) + 0 =  - 3 + 5i

It can be observed that the equation \left( { - 3 + 5i} \right) + 0 =  - 3 + 5i satisfies the condition of the additive identity as 0 is the additive identity.

Therefore, the option A is not correct option.

Option B: \left( { - 3 + 5i} \right)\left( 1 \right) =  - 3 + 5i

It can be observed that the equation \left( { - 3 + 5i} \right)\left( 1 \right) =  - 3 + 5i satisfies the condition of the multiplicative identity as 1 is the multiplicative identity.

Therefore, the option B is correct option.

Option C: \left( { - 3 + 5i} \right)\left( { - 3 + 5i} \right) =  - 16 - 30i

It can be observed that the equation \left( { - 3 + 5i} \right)\left( { - 3 + 5i} \right) =  - 16 - 30i does not satisfy the condition of the multiplicative identity as well as additive identity.  

Therefore, the option C is not correct option.

Option D:  \left( { - 3 + 5i} \right)\left( {3 - 5i} \right) = 16 + 30i

It can be observed that the equation \left( { - 3 + 5i} \right)\left( {3 - 5i} \right) = 16 + 30i does not satisfy the condition of the multiplicative identity as well as additive identity.  

It shows the product of one complex number with its conjugate.

Therefore, the option D is not correct option.

Result:  

Therefore, there is only one option that is option B \left( { - 3 + 5i} \right)\left( 1 \right) =  - 3 + 5i demonstrates the multiplicative identity.

Learn more:  

  1. Learn more about the function is graphed below brainly.com/question/9590016
  2. Learn more about the symmetry for a function brainly.com/question/1286775
  3. Learn more about midpoint of the segment brainly.com/question/3269852

Answer details:

Grade: Middle school

Subject: Mathematics

Chapter: Complex number

Keywords: Multiplication, multiplicative identity, complex number, equation, additive identity, condition, conjugate, arithmetic properties, sum, operation, real numbers.

nignag [31]3 years ago
4 0

<em>Equation b) (-3 + 5i) (1) = -3 + 5i  demonstrates the multiplicative identity property </em>

<h3>Further explanation</h3>

There are several properties in integer multiplication operations

  • 1. closed property

Multiplication between integers will produce integers too

  • 2. commutative property

a x b = b x a

  • 3. associative property

ax (bxc) = (axb) xc

  • 4. identity

ax1 = 1 x a = a

  • 5. distributive  property

* addition

ax (b + c) = axb + axc

* substraction

ax (b-c) = axb - axc

The Multiplicative Identity is <u><em>1 </em></u>

<u><em>The multiplicative identity property states that any number multiplied by 1 will produce an original number. </em></u>

We complete the answer choices available from the problem above:

a) (- 3 + 5i) + 0 = -3 + 5i

O is an identity in the sum operation, the statement is false

b) (-3 + 5i) (1) = -3 + 5i

1 is a Multiplicative Identity of multiplication, so the statement is true

c) (-3 + 5i) (-3 + 5i) = -16-30i

d) (-3 + 5i) (-3 + 5i) = 16 + 30i

choice c and is a multiplication factor, so the statement is false

<h3>Learn more </h3>

the substitution method

brainly.com/question/11705106

brainly.com/question/7162056

The work of a student to solve a set of equations

brainly.com/question/10589573

Keywords: Multiplicative Identity property, integers

You might be interested in
Which statement describes the expression 9(8 + 25)?
Norma-Jean [14]
2 because you do what is in parenthesis first :)
3 0
2 years ago
Read 2 more answers
The diagram shows a rhombus inside a regular hexagon work out the angle x
kvv77 [185]

Answer:

<u>x = 60°</u>

Step-by-step explanation:

The rest of the question is the attached figure.

And it is required to find the angle x.

As shown, a rhombus inside a regular hexagon.

The regular hexagon have 6 congruent angles, and the sum of the interior angles is 720°

So, the measure of one angle of the regular hexagon = 720/6 = 120°

The rhombus have 2 obtuse angles and 2 acute angles.

one of the obtuse angles of the rhombus is the same angle of the regular hexagon.

So, the measure of each acute angle of the rhombus = 180 - 120 = 60°

So, the measure of each acute angle of the rhombus + the measure of angle x = the measure of one angle of the regular hexagon.

So,

60 + x = 120

x = 120 - 60 = 60°

<u>So, the measure of the angle x = 60°</u>

6 0
3 years ago
I need help with this please.
user100 [1]

Answer:

the slope is 60

Step-by-step explanation:

the slope is the number multiplying the x value, or t in this case.

8 0
2 years ago
Read 2 more answers
I need help asap thxss​
s2008m [1.1K]

Answer: the first choice

4 0
3 years ago
Read 2 more answers
Please awnser for brainlyest awnser btw I don’t like emojis ✌️✌️✌️✌️✌️✌️✌️
nexus9112 [7]

Answer:

7. Mean = 48

Median = 47.5

Mode = 72

Range = 66

8. Mean= 59.625

Median = 61

Mode = 90

Range = 79

9. Mean = 31.57

Median = 32

Mode = 46

Range = 34

10. Mean = 42.11

Median = 36

Mode = 51

Range = 51

Step-by-step explanation:

Mean is the average. Mode is the number that appears the most. Median is the middle number. Range is the biggest number minus the smallest number.

Hope this helps.

3 0
3 years ago
Read 2 more answers
Other questions:
  • Find the coordinates of the midpoint of XY for X(-2,3) and T(-8,-9)
    7·1 answer
  • Complete the square to solve the equation below check all that apply x^2+8x-2=18
    5·2 answers
  • Prove by contradiction that the interval (a,<br> b.has no minimum element.
    14·1 answer
  • 1. Which sequence of transformations takes A to its image,B ?
    15·1 answer
  • Which of the following functions shows the absolute value parent function f(x)=|x| vertically compressed
    6·1 answer
  • The quotient of 10 and 2
    5·2 answers
  • Help quick pls! i’m struggling lol
    8·1 answer
  • Although you love to watch TV, you have made a goal to spend more time outdoors. You decide that you will spend 222 times as man
    13·1 answer
  • 6. Find the average of the middle 80% of the
    8·1 answer
  • HELP IN MATH PLEASE. NEED DONE ASAP
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!