4. Which of the following is an arithmetic sequence?
A. 4, 1, -2,-5, -8 B.4,-12, 36, -108

Answers

Answer 1

Answer: A is an arithmetic sequence since the common difference is -3 while B is a geometric sequence and depends on multiples

Answer 2

Answer: A is the answer :) it goes my increments of -3

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Explain how you can use a number line to show that 5/8 is greater than 3/8
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Solve: 3(2x - 5) = 6x - 15 A) 0 B) 1 C) 20 D) infinitely many solutions

Simplify the expression, Please help!!1. -x(7x - 8)

A: 6x^2 - 9x
B: -7x - 8x
C: -7x^2 + 8x
D: 7x + 8x

2. 3k^3(-2k^2 - 4k + 7)

A: -6k^3 - k + 10k
B: -6k^4 - 12k^3 + 21k^2
C: k^4 - k^3 + 10k2
D: 6k^4 - 12k^3 + 10k^2

3. (2k + 1) (k - 4)

A: 2k^2 - 7k + 4
B: 2k^2 - 3k + 4
C: 2k^2 + 9k + 4
D: 2k^2 - 7k - 4

4. (-2y + 5) (y + 3)

A: -2y^2 + 8y + 15
B: -2y^2 - y + 15
C: 2y^2 + 8y + 8
D: 2y^2 - y + 8

Answers

For the first one it would be C.

5x+y=2 find an order pair for x,y

Answers

x=2. y= -8 because...

5•2+-8=2

10-8=2.

If cos Θ = negative two over five and tan Θ > 0, what is the value of sin Θ? negative square root / 21 negative square root / 21 over 5 square root / 21 over 5 square root of 21 over 2

Answers

Answer: The correct option is (B) negative square root 21 over 5.

Step-by-step explanation: Given that for an angle $\theta$ ,

$\cos \theta=-(2)/(5),~~~\tan \theta>0.$

We are to find the value of $\sin \theta.$

We know that

Cosine is negative in Quadrant II and Quadrant III.

Tangent is positive in Quadrant 1 and Quadrant III.

So, the given angle $\theta$ lies in the Quadrant III.

We will be using the following trigonometric identity:

$\cos^2\theta+\sin^2\theta=1.$

We have

$\cos \theta=-(2)/(5)\n\n\n\Rightarrow √(1-\sin^2\theta)=-(2)/(5)\n\n\n\Rightarrow 1-\sin^2\theta=(4)/(25)\n\n\n\Rightarrow \sin^2\theta=1-(4)/(25)\n\n\n\Rightarrow \sin^2\theta=(21)/(25)\n\n\n\Rightarrow \sin \theta=\pm(√(21))/(5).$

Since the angle $\theta$ lies in Quadrant III and sine is negative in that quadrant, so

$\sin\theta=-(√(21))/(5).$

Thus, option (B) is correct.

Answer:

$sin\theta=-(√(21))/(5)$ Option B is the correct option.

Step-by-step explanation:

It is given in the question $cos\theta =-(2)/(5)$ and $tan\theta >0$

We have to calculate the value of $sin\theta$

We can see in the figure attached since cos∅ = -2/5

Here negative sign is showing that angle theta is lying either in quadrant 2nd or 3rd.

And $tan\theta >0$ is showing as angle is either in quadrant 1 or 3rd.

Therefore it is confirm that angle is lying in quadrant 3 where sine is always negative.

Therefore $sin\theta=-(√(21))/(5)$ will be the answer.

Earth is approximately 9.3 × 10^7 miles from the sun. Saturn is approximately 8.87 × 10^8 miles from the sun. About how much farther is Saturn from the sun than Earth is?

Answers

887000000-93000000 =794000000

Factoring
3xsquared + 14x +20

Answers

The equation (3xsquared+ 14x + 20 = 0) has no real roots, so there are no factors made of only real numbers.

The factors are [ -7 plus and minus ( i x square root of 11 ) ]

" i " is the square root of -1 .

HELP NEEDED, GIVING BRAINLIEST!!Which of the following are the vertices of the image of the figure below under the translation (x , y) ---> (x + 4, y - 2)? SELECT ALL THAT APPLY

A. (- 1, 2)
B. (- 9, 6)
C. (- 2, 7)
D. (6, 3)
E. (1, - 4)
F. (- 7, 0)