Express the product of 4-3i and 2+i in simplest a+bi form

Answers

Answer 1
Answer: (4-3i)(2+i)=8+4i-6i-3i^2=8-2i+3=11-2i
recall that i*i= -1
Answer 2
Answer:

Answer:

11-2i

Step-by-step explanation:


Related Questions

On discovering that her family had a 70% risk of heart attack, Erin took a treadmill test to check her own potential of having a heart attack. The doctors told her that the reliability of the stress test is 67%. The test predicted that Erin will not have a heart attack. What is the probability after the test was taken that she will have a heart attack?A. 0.4051 B. 0.5010 C. 0.4653 D. 0.6632
The function H(t) = −16t2 + 90t + 50 shows the height H(t), in feet, of a projectile after t seconds. A second object moves in the air along a path represented by g(t) = 28 + 48.8t, where g(t) is the height, in feet, of the object from the ground at time t seconds.Part A: Create a table using integers 1 through 4 for the 2 functions. Between what 2 seconds is the solution to H(t) = g(t) located? How do you know? (6 points) Part B: Explain what the solution from Part A means in the context of the problem. (4 points)
A person walks 12 m across a rooma. what is their horizontal componentb. what is their vertical component
Can anyone help me with this:5x  -3  <  -3
12 diminished by 6 times a number( which one is correct)1. 12-6n 2. 6n-123. 12n-6

Simplify: a^2b^2c^2(2ab+3ac+2bc)

Answers

We can do this like so:

a^{ 2b^{ 2c^(2) } }a^(8bc)

 a^(8bc) * 2ab = 2ba^(16bc)
a^(8bc) * 3ac =  2ca^(16bc)
a^(8bc) * 2bc =  2bca^(8bc)

Which formula represents the hyperbola on the graph shown below? Note: Answer choices and graph attached below...

Answers

Answer:

Your answer choice is appropriate

Step-by-step explanation:

The orientation is vertical, so the parent function is

... y² - x² = 1

The vertical offset is -3 and the horizontal offset is positive, so the variables will be of the form (y+3)² and (x-something)². At this point, you're able to choose the correct answer.

The distance center to vertex is 13, so we know the y-term denominator is 13². We cannot tell from this graph what the x-term denominator should be, but all the answer choices are in agreement that it should be 81.

The appropriate choice is ...

... (y+3)²/169 - (x-2)²/81 = 1

Answer:

If you are looking for the answer to a graph that looks similar but slightly different, the answer is C.

This graph looks like the one above, but it is inverted, the top hyperbola reaches 15, and the bottom reaches 10. This is correct for A.P.E.X

Hope this helps I couldn't find it anywhere else on brainly.

The drawing of a building, shown below, has a scale of 2 inches to 8.5 feet.What is the actual height, in feet, of the house?

Answers

Answer:

36 1/8 feet

Step-by-step explanation:

x = height of house in feet

2"/8.5' = 8/5"/x

cross-multiply:

2x = 72.25

x = 36.125 or 36 1/8

Metric unit for the mass of a television

Answers

I would say kilograms, becauee kilograms would be the best metric unit for the mass of a television.

The equations 6x + 5y = 300 and 3x + 7y = 285 represent themoney collected from selling gift baskets in a school fundraising
event. If x represents the cost for each snack gift basket and
y represents the cost for each chocolate gift basket, what is the cost
for each chocolate gift basket?
(1) $20 (3) $30
(2) $25 (4) $54

Answers

Answer:

$30

Step-by-step explanation:

Solving the equation given simultaneously to get the x and y variable;

6x + 5y = 300... (1) × 1

3x + 7y = 285... (2) × 2

Using elimination method, we will multiply equation 1 by 1 and equation 2 by 2 as shown above to have;

6x + 5y = 300... 3

6x + 14y = 570... 4

Subtracting equation 3 from 4, we have;

5y-14y = 300-570

-9y = -270

y = 270/9

y = 30

Since y represent the cost for each chocolate gift basket, the cost of each chocolate gift basket will be $30

(3) $30
Multiply the second equation by -2, then subtract it from the first equation. It should be
6x+5y=300
-6x-14y=-570
                  
-9y=-270
y=30

Point A is located at (0, -2) and is rotated 180°. What are the coordinates of point A'?(2, 0)
(0, 2)
(0, -2)
(0, -2)

Answers

(0,2) 

Here are a few tricks:
rotated 180 degrees= (X,Y) ----- (-X, -Y) 
rotated 90 degrees= (X,Y) ------(-Y,X)
rotated 270 degrees= (X,Y)-----(Y,-X)