All categories

3 years ago

Simplify the expression square root 4/(3+I)-(2+3i)

Mathematics

2 answers:

VladimirAG [237]3 years ago

8 0

$\cfrac{ \sqrt{-4} }{(3+i)-(2+3i)} = \cfrac{ 2i}{3+i-2-3i} = \cfrac{ 2i}{1-2i}= \cfrac{ 2i(1+2i)}{(1-2i)(1+2i)}= \\\\=\cfrac{ 2i-4}{1+4}= \cfrac{ -4+2i}{5}$

kolbaska11 [484]3 years ago

4 0

The answer is -⅘ + ⅖i

You might be interested in

What’s the area of the triangle shown below

valina [46]

Answer:

Step-by-step explanation:

6*14/2=42

4 0

3 years ago

Read 2 more answers

Which type of line and direction of shading does y > tell you?

Burka [1]

9514 1404 393

Answer:

Above the dashed line

Step-by-step explanation:

That y is greater than the values on the line tells you that the shading is above the line.

That the "equal to" case is not included tells you that the line is dashed.

6 0

3 years ago

Consider the two functions below

lisov135 [29]

The answer you are looking for is :
B. (0,4)

8 0

4 years ago

Read 2 more answers

2132 plus what equals 2650

Studentka2010 [4]

518 is the answer. **

6 0

3 years ago

Read 2 more answers

The Candy Factory sells candy by the pound, charging $1.60 per pound for quantities up to and including 20 pounds. Above 20 poun

rusak2 [61]

Answer:

$k=6$

Step-by-step explanation:

We have been given that the Candy Factory sells candy by the pound, charging $1.60 per pound for quantities up to and including 20 pounds. Above 20 pounds, the Candy Factory charges $1.30 per pound for the entire quantity, plus a quantity surcharge k.

$\left \{ {{p(x)=1.6x, \text{ If }x\leq 20} \atop {p(x)=1.30x+x,\text{ if }x>20}} \right.$

For the price function be to continuous at $x=20$ , the value of both functions at $x=20$ must be equal. Because a function is continuous if the right hand limit is equal to left hand limit.

$1.6(20)=1.3(20)+k$

Let us solve for k.

$32=26+k$

$32-26=26-26+k\\\\6=k$

Therefore, the price function p is continuous at $x=20$ , when k is equal to 6.

5 0

3 years ago