Directions: Simplify the following expressions using the imaginary number. 1. √-5

2. √-49

3. -3√-9

4. -8√-64

5. -√-50

6. -2√-12

7. 5√-12

8. √-8

9. 3√-7

10. -3√-200

Part B

Directions: Write the following numbers using the imaginary number i, and then perform the operations necessary and simplify your answer.

11. 2√-8 + 3√-50

12. √-4 + √-16

13. √-25 + √-9

14. i√-36 – i2

15. 3√-25 + 2√-49

16. √-48 • √72

17. 3√-9 • 2√-49

18. √-12 • √-36

19. √-16 • √-100

step-by-step explanation:

f

the largest number of the four options is 1.8 x 10-2

you have it in scientific notation.

1.80 x 10-6   = 0.00000180

1.80 x 10-4   = 0.000180 (bigger, or "less small", than the former one)

so

1.8 x 10-2       = 0.0180. as you see. the "less small", or the biggest one of them all.

as you have negative exponent, it means you are dividing 1.8 by 100 (i.e. moving the dot towards left, two times).

if you had positive exponent for the scientific notation, power of tenths, you would be multiplying times 100 (moving the dot towards right) as below:

1.8 x (10)2 = 180

so. if you have negative exponent in scientific notation, move the dot toward left. if it is positive, toward right as many times the exponent tells you.

(2x + 16) + (x) = 180

step-by-step explanation:

given,

abcd is a quadrilateral inscribed in a circle

angle a is labeled x plus 16, (x + 16)

angle b is labeled x degrees, (x)

angle c is labeled 6x minus 4, (6x – 4)

angle d is labeled 2x plus 16, (2x + 16)

what equation can be used to solve for angle b?

we know that the sum of the opposite angles of a simple quadrilateral inscribed in a circle is 180 degrees.

angle b is opposite angle d

therefore, angle b + angle d = 180

(x) + (2x + 16) = 180 

same as (2x + 16) + (x) = 180