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2 years ago

I don't know how to answer this question.

Mathematics

1 answer:

laiz [17]2 years ago

3 0

Answer:

- 39/8y

Step-by-step explanation:

First you need to find a common denominator:

There is already a y in both denominators, so you don't have to worry about that. Since only one denominator has an 8, the other needs to have an 8, so you need to multiply the first fraction by 8 → - 4/y * 8 = - 32/8y

From here you can subtract the numerators:

- 32/8y +(- 7/8y) = - 39/8y

Because you are adding a negative to a negative, it makes the number mroe negative

I hope this helps!

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SOLVE THE EQUATION −9(x + 6) + 60 = 13 − 10x

yuradex [85]

Answer:

x=7

Step-by-step explanation:

−9(x + 6) + 60 = 13 − 10x

Distribute

−9x -54 + 60 = 13 − 10x

Combine like terms

-9x +6 = 13 -10x

Add 10x to each side

-9x+10x +6 = 13-10x+10x

x +6 = 13

Subtract 6 from each side

x+6-6=13-6

x = 7

7 0

3 years ago

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

2 years ago

Calculation of 24 – 16 ÷ 4 x 2 + 3

zavuch27 [327]

Answer:

Step-by-step explanation:

BODMAS

Brackets.

Division

Multiplication

Addition and

Subtraction

go according to the BODMAS rule and solve the division first

24-(16÷4)×2+3

Then solve the multiplication part

24-(4×2)+3

Now solve like a regular sum

24-8+3

16+3

7 0

2 years ago

There are four aces from a deck of cards. If a coin is tossed in an ace is chosen, what is the probability of getting heads on t

harina [27]

Answer:

1/8

Step-by-step explanation:

coin toss is 1/2, probability of getting an ace of hearts is 1/4

therefore 1/2 x 1/4 = 1/8

6 0

3 years ago

Tres amigos. se van de viaje y quieren. alquilar un coche durante un fin de semana.

djyliett [7]

Answer:

operaciones : 600×3= 1800÷5=360.

Step-by-step explanation:

y entonces cada amigo tendra que pagar 360 ya que eran 3 amigos y iban a pagar 600 cada uno pero ahora son 5 asi que deben de pagar 360

5 0

2 years ago