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
sdas [7]
3 years ago
7

A student multiplies (4+5i) (3-2i) incorrectly and obtains 12-10i what is the students mistakes

Mathematics
1 answer:
Rufina [12.5K]3 years ago
4 0

Answer:

1. In the multiplication of the imaginary parts, the student forgot to square of i. OR

2. The student has only multiplied the real parts and the imaginary parts.

Correct value =22+7i.

Step-by-step explanation:

The given expression is

(4+5i)(3-2i)

A student multiplies (4+5i) (3-2i) incorrectly and obtains 12-10i.

Student's mistake can be either 1 or second:

1. In the multiplication of the imaginary parts, the student forgot to square of i.

2. The student has only multiplied the real parts and the imaginary parts.

(4+5i)(3-2i)=4\times 3+5\times (-2)i=12-10i

Which is not correct. The correct steps are shown below.

Using distributive property, we get

4(3-2i)+5i(3-2i)

4(3)+4(-2i)+5i(3)+5i(-2i)

12-8i+15i-10i^2

12+7i-10(-1)       [\because i^2=-1]

12+7i+10

22+7i

Therefore, the correct value of (4+5i)(3-2i) is 22+7i.

You might be interested in
Can someone please help meee
Mariana [72]

Answer:

Step-by-step explanation:

Ok so you are given the values of the slope-intercept form with m being the slope and b being the y-intercept. So since b is equal to -1 you want to plot a point at (0, -1) since that is the y-intercept (when x = 0). The next thing you want to do is look at the slope, which is essentially saying each time x increases by 5 the y-value decreases by 4 or in other words rise/run which is negative which is why you're going down. So from the point (0, -1) go forward 5 units and go down 4 units which should lead you to (5, -5) and the third point you can plot is by going backwards instead of forwards. So instead of every time x increases by 5 y decreases by 4 you're going to do the inverse. Every time x decreases by 5, y is going to increase by 4. So by doing this from the y-intercept (0, -1) you should go backwards 5 units and up 4 units which should lead you to (-5, 3). And then now just draw a line that goes through all those three points. Hope that helps :)

6 0
1 year ago
Arrange the following numbers in order from greatest to least: 7,361;7614
stepladder [879]
7,614 ,7,361,
Hope this helped.
6 0
3 years ago
Can someone help me pls :)
Makovka662 [10]

Answer:a

Step-by-step explanation:

Can I have brainlest

3 0
3 years ago
Read 2 more answers
Are the parentheses and brackets correct
marshall27 [118]

Answer:

the range is correct

but the domain is [-3,3)

7 0
3 years ago
Read 2 more answers
What is the value of d to the nearest tenth
Gelneren [198K]
The answer is 72.1.you should dot infront sizes and then equals them
6 0
3 years ago
Other questions:
  • What is the volume of the cube below
    10·2 answers
  • Write 3/100 as a decimal​
    6·1 answer
  • I need this answer as fast as i can get it
    6·2 answers
  • Let f(x)=(x^2)(e^5x)<br><br> find the derivative f'(x) and the second derivative, f"(x)
    8·2 answers
  • (a^2-4)(9-b^2)+24ab
    14·1 answer
  • What is the equation of the graphed line written in standard form?
    15·2 answers
  • Could someone help me plz???
    7·1 answer
  • I have 12% cousin in my family I asked them what there favorite console is.Of the 12 cousins that participant 6 of them prefer x
    9·2 answers
  • What’s the product? (3x-6) (2x^2-7+1)
    13·2 answers
  • Can someone tell me how to graph this ​
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!