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3 years ago

The quotient of a number and 2 increased by 9 is -15

Mathematics

2 answers:

Agata [3.3K]3 years ago

8 0

Answer:

x/2+9=-15

Step-by-step explanation:

yaroslaw [1]3 years ago

6 0

Answer:

$n = -48$

Step-by-step explanation:

Step 1: Convert into an expression

$(n / 2) + 9 = -15$

Step 2: Subtract 9 from both sides

$(n / 2) + 9 - 9 = -15 - 9$

$(n / 2) = -24$

Step 3: Multiply both sides by 2

$(n / 2) * 2 = -24 * 2$

$n = -48$

Answer: $n = -48$

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Rewrite with only sin x and cos x.

Annette [7]

Option A

$\cos 3 x=\cos x-4 \cos x \sin ^{2} x$

Solution:

Given that we have to rewrite with only sin x and cos x

Given is cos 3x

$cos 3x = cos(x + 2x)$

We know that,

$\cos (a+b)=\cos a \cos b-\sin a \sin b$

Therefore,

$\cos (x+2 x)=\cos x \cos 2 x-\sin x \sin 2 x$ ---- eqn 1

We know that,

$\sin 2 x=2 \sin x \cos x$

$\cos 2 x=\cos ^{2} x-\sin ^{2} x$

Substituting these values in eqn 1

$\cos (x+2 x)=\cos x\left(\cos ^{2} x-\sin ^{2} x\right)-\sin x(2 \sin x \cos x)$ -------- eqn 2

We know that,

$\cos ^{2} x-\sin ^{2} x=1-2 \sin ^{2} x$

Applying this in above eqn 2, we get

$\cos (x+2 x)=\cos x\left(1-2 \sin ^{2} x\right)-\sin x(2 \sin x \cos x)$

$\begin{aligned}&\cos (x+2 x)=\cos x-2 \sin ^{2} x \cos x-2 \sin ^{2} x \cos x\\\\&\cos (x+2 x)=\cos x-4 \sin ^{2} x \cos x\end{aligned}$

$\cos (x+2 x)=\cos x-4 \cos x \sin ^{2} x$

Therefore,

$\cos 3 x=\cos x-4 \cos x \sin ^{2} x$

Option A is correct

7 0

3 years ago

Which numbers are a distance of 2 units from 8 on a number line?

Aleonysh [2.5K]

6 and 10 are 2 units away from a positive 8 on the number line

4 0

3 years ago

Read 2 more answers

3/7 x 28/9 x 15/17 ... how do I use cancellation? my answer was 15/17 but thats not the right answer, can someone explain this a

Ne4ueva [31]

First you cancel 7 and 28, and 3 and 9, so that leaves you with 4/3 x 15/17, then you cancel 3 and 15 so you get 4x5/17 which should give you 20/17!

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3 years ago

Solve for the area of the combined shape

ludmilkaskok [199]

Answer:

47 cm²

Step-by-step explanation:

3(9 - 4) + 8 × 4 = 15 + 32 = 47

7 0

3 years ago

which of the following is the correct set of hypotheses to test if the researchers are interested in evaluating whether there is

e-lub [12.9K]

Answer:

Step-by-step explanation:

check the attached document for answer

6 0

3 years ago