- Solve the following by completing the square (be prepared to have imaginary roots) 1. x2+10x+29=0 2. x2+8x+16=0

3. x2-4x+22=0 4. 2x2-20x+53=0

Solve the following using the quadratic formula (be prepared to have imaginary roots)
5. x2+10x-19=0 6. 2x2-8x+15=0

7. 3x2-7x-6=0 8. 3x2-6x+7=0
Use the discriminant to identify whether the following quadratics have real or imaginary roots
9. 3x2+2x+18 10. 2x2-8x-14

11. x2-6x-13 12. 12x2-34x+24
- Operations with complex numbers
13. (7-i)+(2+10i)

14. (6+7i)+(8-i)

15. (-3-i)-(6-7i)

16. (1+4i)-(-16+9i)

17. 8i(10+2i)

18. (4-5i)(12+11i)

19. (-3-9i)(1+10i)

20. (2+7i)(8+3i)

a net is a diagram that shows a “flattened” view of a solid. in a net, each face and base is shown with all of its dimensions. a net can also serve as a pattern to build a three-dimensional solid.

a pyramid is a three-dimensional object with a base that is a polygon and triangular faces that meet at one vertex.

" the net of a triangular pyramid consists of four triangles. the base here we are given of the pyramid is a equilateral   triangle, and the lateral faces are also triangles "

15%

step-by-step explanation:

use the table and count the number of guesses that has two correct answers.

the following are two correct answers

10010, 01100, 11000

a total of 3 numbers having 2 correct guesses out of 20 questions.

probability of getting 2 correct guesses = the number of questions getting 2 correct answers / total number of questions.

= 3/20

to convert it into percent multiply by 100, we get

= 3/20 * 100

= 15%

the answer is 15%

you.

according to this law, when unemployment goes up by 1%, gdp drops by 2%. in the question, unemployment rate goes from 2% to 5%, meaning unemployment goes up by 3%, so the gdp drops by 6%. thus the effect is a drop in gdp by 6%.

step-by-step explanation:

x = -3

y = -18

step-by-step explanation:

to solve by substitution, substitute one variable and solve for the other. then substitute again to find the remaining variable.

x-1/3(3x-9) = -3 since y=3x-9 substittute y.

x-1/3(3x-9)=-3

x + x +3 = -3

2x+3=-3

2x+3-3= -3-3

2x=-6

x=-3

substitute again into y=3x-9

y=3(-3)-9

y=-9-9

y=-18