Answer:
D
Step-by-step explanation:
Whole numbers are the basic counting numbers: ![0,\ 1,\ 2,\ 3,\ 4, \....](https://tex.z-dn.net/?f=0%2C%5C%201%2C%5C%202%2C%5C%203%2C%5C%204%2C%20%5C....)
Integers are whole numbers and negative numbers: ![...,\ -2,\ -1,\ 0,\ 1,\ 2,\ ...](https://tex.z-dn.net/?f=...%2C%5C%20-2%2C%5C%20-1%2C%5C%200%2C%5C%201%2C%5C%202%2C%5C%20...)
Rational numbers are all fractions
where m is an integer and n is a natural number.
Irrational numbers are all real numbers that are not rational.
Number
is irrational number (it is not counting number, so it is not whole number, not integer number), it cannot be represented as a fraction, so it is not rational number, thus this number is irrational number.
The product of integer number -2 by irrational number
is irrational number ![-2\pi](https://tex.z-dn.net/?f=-2%5Cpi)
Correct option - option D
The lines are perpendicular to each other because -8 and 1/8 are opposite reciprocal of each other. <span />
I think it might be c. 0.020. As far as I remeber, I think that was the answer
Answer:
<h2><u>b = 2 or b = -2</u></h2>
Explanation:
|4b + 4| = |2b + 8|
<em>Solve absolute value</em>
|4b + 4| = |2b + 8|
Either 4b + 4 = 2b + 8 or 4b + 4 = −(2b + 8)
4b + 4 = 2b + 8 <em>(Possibility 1)</em>
4b + 4 − 2b = 2b + 8 − 2b <em>(Subtract 2b from both sides)</em>
2b + 4 = 8
2b + 4 − 4 = 8 − 4 <em>(Subtract 4 from both sides)</em>
2b = 4
2b / 2 = 4 / 2 <em>(Divide both sides by 2)</em>
b = 2
4b + 4 = −(2b + 8) <em>(Possibility 2)</em>
4b + 4 = −2b − 8 <em>(Simplify both sides of the equation)</em>
4b + 4 + 2b = −2b − 8 + 2b <em>(Add 2b to both sides)</em>
6b + 4 = −8
6b + 4 − 4 = −8 − 4 <em>(Subtract 4 from both sides)</em>
6b = −12
6b / 6 = -12 / 6 <em>(Divide both sides by 6)</em>
b = -2
<h2><u>b = 2 or b = -2</u></h2>
Double angle formula for cos(2x) is
cos(2x)=cos^2(x)-sin^2(x)
Substitute x=4theta, then
cos(8theta)=cos^2(4theta)-sin^2(4theta)
=>
cos^2(4theta)-sin^2(4theta) = cos(8theta)