16. Use the distributive property to simplify the expression 4(8+ 2i). A: 12 + 2i
B: 32 + 8i
C: 12 + 8i
D: 40i

17. Use the distributive property to simplify the expression 4i(5 – 7i)

A: 28 - 20i
B: 28 + 20i
C: 9i – 28i2
9i– 3i2

Problem 16

4(8+2i)

4*8 + 4*2i

Problem 17

4i(5-7i)

4i*5 + 4i*(-7i)

20i - 28i^2

20i - 28(-1) recall that i^2 = -1

20i + 28

the number 100 represents the number of trials in the experiment.

49/100 represents the experimental probability of the coin landing heads up.

step-by-step explanation:

look at the picture.

1.

ef : ab = 2 : 3

gf : cb = 2 : 3

gh : cd = 2 : 3

he : da = 2 : 3

2.

∠a ≅ ∠e

∠b ≅ ∠f

∠c ≅ ∠g

∠d ≅ ∠h

3.

use pythagorean theorem:

the length of the abcd trapezoid sides:

|ab| = 3 cm

|bc| = 10 cm

|cd| = 3(3) cm = 9 cm

|da| = 8 cm

the perimeter of abcd = 3 + 10 + 9 + 8 = 30 cm

the ratio of perimeters of the tarapezoids is equal 2 : 3.

substitute:

      cross multiply

      divide both sides by 3