75 points 1. write a rule for the sequence. 8, -1, -10, - a. start with 8 and add -9 repeatedly b. star with -9 and add 8 repeatedly c. start with 8 and add 9 repeatedly d. start with 8 and subtract -9 2. find the next three terms of the sequence. -6, -24, -96, -384 1) -768, -1536 , -3072 2) -768, -3072, -12288 3) -1536, -6144 , -24567 4) -1536, -9216, -36864 if you can with the whole test that would be !

Hi Timothy,

1. Write a rule for the sequence.

8, -1, -10, -19...

A. Start with 8 and add -9 repeatedly

B. star with -9 and add 8 repeatedly

C. start with 8 and add 9 repeatedly

D. start with 8 and subtract -9 repeatedly---

Answer - So you have to start with -9 then keep subtracting 9. Thats what I think the answer is but the answer is not stated in the question. Let me know on what that is. The closest answer is probably either B or D.

2. find the next three terms of the sequence.

-6, -24, -96, -384

1) -768, -1536 , -3072

2) -768, -3072, -12288

3) -1536, -6144 , -24567

4) -1536, -9216, -36864

The rule is multiplying by 4!

So the correct answer is 3) -1536, -6144 , -24567

b

step-by-step explanation:

the value of x is 9 ⇒ answer b

step-by-step explanation:

* we can solve this problem using cosine and sine rule

- in δ abc

∵ ab = 36 , bc = 28 , ac = 16

- lets find the measure of angle b using the cosine rule

∵ cos b = [ab² + bc² - ac²]/2(ab)(bc)

∴ cos b = [36² + 28² - 16²]/2(36)(28)

∴ cos b = 19/21

∴ m∠b = cos^-1(19/21) ≅ 25°

- lets find the measure of angle a using the sine rule

∵ sina/bc = sinb/ac = sinc/ab

∴ sina/28 = sin25°/16 ⇒ by using cross multiplication

∴ sina = 28 × sin25°/16

∴ sina = 0.7396

∴ m∠a = sin^-1(0.7396) ≅ 48°

- from the figure m∠abd = m∠dbc

∵ m∠abc = 25°

∴ m∠abd = 25°/2 = 12.5°

- in δabd

∵ m∠a = 48° , m∠abd = 12.5°

∵ the sum of the measures of the interior angles of any δ is 180°

∴ m∠adb = 180° - (48° + 12.5°) = 119.5°

∵ ab = 36

∵ ad = x

- use the sine rule to find x

∵ sin∠adb/ab = sin∠abd/x

∴ sin119.5°/36 = sin12.5°/x ⇒ by using cross multiplication

∴ x = 36 × sin12.5°/sin119.5° = 8.95 ≅ 9

* the value of x is 9