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2 years ago

Show that sin (x + pi) = -sin x.

Mathematics

1 answer:

Lunna [17]2 years ago

4 0

Answer:

The answer in the procedure

Step-by-step explanation:

we know that

$sin(A + B) = sin A cos B + cos A sin B$

In this problem we have

$sin(x + \pi)=sin (x)cos(\pi) + cos(x)sin(\pi)$

Remember that

$sin(\pi) = 0$

$cos(\pi) = -1$

substitute

$sin(x + \pi) = sin(x)(-1) + cos(x)(0)$

$sin(x + \pi) = -sin(x)$

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If f(x)=3x-1 and g(x)=x+2, find (f+g)(x)

Temka [501]

Answer:

4x +1 is your answer.

Step-by-step explanation:

What you do is you add f(x) and g(x) together.

4x +1 is your answer.

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3 years ago

Find the length of the segment indicated. Round to the nearest tenth if necessary.

Aleksandr-060686 [28]

Answer:

x=5

Step-by-step explanation:

x is the length of the line segment from the center to the boderline of circle. So x=5

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2 years ago

4/7 (21/8x + 1/2) = -2 (1/7 - 5/28) write your solution in decimal form.

pychu [463]

Hope this helps you with the problem

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3 years ago

Multiplying Powers with the Same Base

Luda [366]

Applying the product rule of exponents, each product of powers are matched with its simplified expression as:

1. $5 \times 5^3 = 5^4$

2. $5 \times 5^3 = 5^4$

3. $5^{-3} \times 5^{-3} = \frac{1}{5^6}$

4. $5^{-4} \times 5^{4} \times 5^0 = 5^0$

5. $5^{7} \times 5^{3} = 5^{10}$

To multiply the powers having the same base, we will apply the product rule for exponents.

<h3>What is the Product Rule for Exponents?</h3>

Base on the product rule for exponents, we have, $a^m \times a^n = a^{m + n} = a^{mn}$ .
In order to find the products of two given numbers that have the same base, the exponents would be added together.

1. $5^6 \times 5^{-4$

Add the exponents together

$5^6 \times 5^{-4} = 5^{(6) + (-4)}$

$5^6 \times 5^{-4} = 5^2$

2. $5 \times 5^3$

Add the exponents together

$5 \times 5^3 = 5^{(1 + 3)}$

$5 \times 5^3 = 5^4$

3. $5^{-3} \times 5^{-3}$

Add the exponents together

$5^{-3} \times 5^{-3} = 5^{(-3) + (-3)$

$5^{-3} \times 5^{-3} = 5^{-6$

$5^{-3} \times 5^{-3} = \frac{1}{5^6}$

4. $5^{-4} \times 5^{4} \times 5^0$

Add the exponents together

$5^{-4} \times 5^{4} \times 5^0 = 5^{(-4) + (4) + (0)$

$5^{-4} \times 5^{4} \times 5^0 = 5^0$

5. $5^{7} \times 5^{3}$

Add the exponents together

$5^{7} \times 5^{3} = 5^{10}$

In summary, applying the product rule of exponents, each product of powers are matched with its simplified expression as:

1. $5 \times 5^3 = 5^4$

2. $5 \times 5^3 = 5^4$

3. $5^{-3} \times 5^{-3} = \frac{1}{5^6}$

4. $5^{-4} \times 5^{4} \times 5^0 = 5^0$

5. $5^{7} \times 5^{3} = 5^{10}$

Learn more about product rule of exponents on:

brainly.com/question/847241

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2 years ago

Which expression is equivalent to −(4−3)?

bogdanovich [222]

$−(4 − 3) = -4 + 3 = -2^2 + 3$

Answer: C. −2^2+3

6 0

3 years ago