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Andrews [41]
3 years ago
7

Add the sum and difference identities for sin x to derive 1/2 [sin(x+y)+sin(x-y)]=sin x cos y

Mathematics
1 answer:
Solnce55 [7]3 years ago
3 0

Answer:

true

Step-by-step explanation:

1/2 (sin(x+y)+sin(x-y))

= 1/2 (sin x cos Y + cos x sin y + sin x cos y - cos x sin y)

= 1/2 * 2 sin x cos y

= sin x cos y

The expression is true.

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(⚠️⚠️HELP!⚠️⚠️)Mary bought 18 books. Mary bought 6 times as many books as Carlos. Let b be the number of books that Carlos bough
kvasek [131]

Answer:

18=6b, b=3

Because Mary has 6 times as much as Carlos does, we put the x with 6. 18 is the number that 6x equals. 6*3=18

8 0
3 years ago
Read 2 more answers
Can someone explain the process getting from:
spin [16.1K]
\rm 5=e^{3b}

The unknown b is stuck in the exponent position.
We can can fix that by using logarithms.
Log is the inverse operation of the exponential.

We'll take log of each side.
Log of what base tho?

Well, the base of our exponential is e,
so we'll take log base e of each side.

\rm log_e(5)=log_e(e^{3b})

We'll apply one of our log rules next:
\rm \log(x^y)=y\cdot\log(x)

This allows us to take the exponent out of the log,

\rm log_e(5)=(3b)log_e(e)

Another thing to remember about logs:
When the base of the log matches the inside of the log,
then the whole thing is simply 1,
\rm log_{10}(10)=1
\rm log_5(5)=1
\rm log_e(e)=1

So our equation simplifies to this,

\rm log_e(5)=(3b)\cdot1

As a final step, divide both sides by 3,

\rm \frac13log_e(5)=b

k, hope that helps!


6 0
3 years ago
F ( x ) = -3 ( x + 4 ) ( x - 6 )
Sunny_sXe [5.5K]
Not sure what you’re asking, but, if you’re looking for the expanded form... hope that helps?

3 0
3 years ago
Solve by the substitution method 7x+6y = -17 -3x+y =18
Novay_Z [31]
6 is your answer so it's like this x=3 y=6 or x=6 y=3
3 0
3 years ago
A set of average city temperatures in May are normally distributed with a mean of 20.66 ^\circ \text{C}20.66
Angelina_Jolie [31]

Answer:

0.9962

Step-by-step explanation:

The z score shows the number of standard deviations by which the raw score is above or below the mean. If the raw score is above the mean then the z score is positive but if the raw score is less than the mean then the raw score is negative. The z score is given by:

z=\frac{x-\mu}{\sigma}\\ \\\mu=mean,\sigma=standard\ deviation, x=raw\ score

μ = 20.66°C, σ = 2°C

For x < Singapore temperature, i.e. x < 26

z=\frac{x-\mu}{\sigma} =\frac{26-20.66}{2}=2.67

From the normal distribution table P(x < 26) = P(z < 2.67) = 0.9962

4 0
3 years ago
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