Please Simplify: 3+5i/2-i

Answers

Answer 1

Answer: ok so
(3+5i)/(2-i)
try to make it into the form a+bi
make bottom number in real
remember that i^2=-1 and
(a-b)(a+b)=a^2-b^2
look at bottomm
(2-i)
we can make it into 2^2-i^2 by multiplying it by (2+i)

multiply top and bottom
(3+5i)/(2-i) times (2+i)/(2+i)=(6+10i+3i+5i^2)/(2^2-i^2)= (6+13i+5(-1))/(4-(-1))=(6+13i-5)/(5)= (1+13i)/5=(1/5)+(13i/5)

a+bi
1/5+13/5i

Related Questions

Log (10-4x) = log (10-3x)
What Is the next number? 12 21 23 32 34 43
Log11 1/121=-x-4 stupid math
Sean has 1/5 of a cupcake and 1/5 of a large cake. are the wholes the same?
The weights of tennis balls are normally distributed, with the mean being 5.15 ounces and the standard deviation being 0.10. what percentage of the balls weigh within one standard deviation of the mean? 50% 68% 95% 99.7%

Hank merrill takes scrap aluminum to the recycling center during summer vacation. the recycling center pays $0.14 per pound. how much does hank get for bringing in 27 pounds?

Answers

Answer:

$ 3.78 .-

Step-by-step explanation:

We know that the center pays 0,14$/pound and he's thinking about bringing 27 pounds.

So, we can desing a equation as follow

$(payment)= 0,14$/pound * 27 pounds = $3,78.

$3.78

because he is paid $0.14 per pound, if he brings 27 pounds it is

=0.14 x 27
=3.78

Please pasagot, legit po

Answers

first and second

Step-by-step explanation:

The factors of m2 + 12m + 35 are ( ) and ( ). NextReset

Answers

The answer is (m+5) (m+7).

Answer:

(m+7) and (m+5)

Step-by-step explanation:

Just had this on a test

Simonne used the following steps to simplify the given expression. 12 - 3(-2x + 4) Step 1: 12 + (–3)·(–2x) + (–3)·(4)
Step 2: 12 + 6x + (–12)
Step 3: 12 + (–12) + 6x
Step 4: 0 + 6x Step 5: 6x

What property of real numbers was used to transition from Step 3 to Step 4?
A. identity property of addition
B. inverse property of addition
C. associative property of addition
D. commutative property of addition

Answers

inverse property of addition

B: inverse property of addition

Determine whether the forces in the pair are pulling at right angles to each other.For the values a = 2.9 which is a leg of a right triangle, and value c = 4.2, which is the hypotenuse, find the length of the other leg, b, to the nearest tenth.

2.8
3.0
2.9
1.3

Answers

Given:
right triangle
a = 2.9
c = 4.2

Pythagorean Theorem: a² + b² = c²

missing value of b.

b² = c² - a²
b² = (4.2)² - (2.9)²
b² = 17.64 - 8.41
b² = 9.23
b = √9.23
b = 3.03 or 3.0

The value of b is 3.0

Change these fractions into percentages 7/10, 2/5, 1/3, 17/20

Answers

Change them into fractions over 100, and the numerator will be the percentage.

7/10 = 70/100 = 70%

2/5 = 40/100 = 40%

1/3 = 33.33/100 = 33.33%

17/20 = 85/100 = 85%

percent means parts out of 100 so
exg 23/100=23%

just convert the bottom number to 100
7/10 times 10/10=70/100=70%

2/5 times 20/20=40/100=40%

1/3 times 33.333/33.333=33.3333/99.999 close enought 33.33%

17/20 times 5/5=85/100=85%

Other Questions

I don’t understand at all

A rain barrel is a right circular cylinder. If 1ft^3 =7.5 gallons, how many gallons of rainwater can the barrel hold? Use 3.14 Barrel is 1.35ft left to right.... And 5ft top to bottom.

4x + 5y = 19 , 5y - 4x = 38

Last year,Mark was 46 inches tall.This year,Marks height is 3 inches less than peters height.Peter is 51 inches tall.How tall is mark?Write an equation to represent the situation.Then solve the equation to answer the problem