$z_1=4+2i\\z_2=-1+2i\\\overline(z_2)=\sqrt{(-1)^2+(2i)^2}=\sqrt{1-4}=i\sqrt{3}\\ z_1+\overline(z_1)=4+2i+\sqrt{4^2+(2i)^2}=4+2i+\sqrt{16-4}=4+\sqrt{12}+2i\\z_2+\overline(z_2)=-1+2i+\sqrt{(-1)^2+(2i)^2}=-1+2i+\sqrt{1-4}=-1+(2+\sqrt{3})i$

3 0

3 years ago

Match the verbal expression (term) with its algebraic expression (definition).

serious [3.7K]

Answer:

match

Step-by-step explanation:

4 0

3 years ago

What is the answer to this and how do I do this problem?

DaniilM [7]

Answer:

B) 25.1 units

Step-by-step explanation:

The perimeter is the sum of the lengths of the sides of the triangle. The length of the side BC that is vertical can be found by finding the difference of y-coordinates:

BC = 5 -(-2) = 7

The lengths of the other two sides can be found using the given distance formula. Fill in the coordinate values and do the arithmetic.

AB = √((4-(-4))^2 +(5-(-1))^2) = √(8^2 +6^2) = √(64+36)

AB = √100 = 10

AC = √((4-(-4))^2 +(-2-(-1))^2) = √(8^2 +(-1)^2) = √(64 +1)

AC = √65 ≈ 8.06

So, the perimeter is ...

P = AB +BC +AC

P = 10 + 7 + 8.06 = 25.06 ≈ 25.1 . . . . matches choice B

5 0

3 years ago

Shayna pays 20 for 5 bottles of juice. What is the unit price for the bottles of juice?

Goshia [24]

20/5 = 4
therefore the unit price for the bottles of juice is 4

3 0

3 years ago