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Galina-37 [17]
2 years ago
7

How do I factor this? cos^4x - sin^4x

Mathematics
2 answers:
padilas [110]2 years ago
6 0

Answer: https://socratic.org/questions/how-do-you-simplify-cos-4x-sin-4x#618537

IgorLugansk [536]2 years ago
4 0

Answer:

Step-by-step explanation:

FYI,

a² - b² = (a + b)(a - b)

f(x) = cos^{4} x - sin^{4} x = (cos²x + sin²x)(cos²x - sin²x) =

= <em>(cos²x + sin²x)(cos x + sin x)(cos x - sin x)</em>

If you need to simplify, then

f(x) = 1 × (cos²x - sin²x) = <em>cos(2x)</em>

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If f(x) = 7x+2, find f (0)​
quester [9]

Answer:

f(0) = 2

Step-by-step explanation:

f(x) = 7x+2

→ f(0)

f(0) = 7(0)+2

= 0+2

= 2

3 0
2 years ago
Read 2 more answers
What is 3(x-5)-14=2(x-7)+2
Evgen [1.6K]

Answer: x = 7

Step-by-step explanation:

To solve the equation,

First step, open the bracket

3(x-5)-14=2(x-7)+2

3x -15 -14 = 2x -14 +2

Then, add the like terms

3x - 29 = 2x -16

Transpose the values at the right hand side to the left hand side

3x - 2x = -16 + 29

x = 7

5 0
2 years ago
Find the equation of the line that passes through the points (-5,7) and (2,3)
Olegator [25]

Answer:

y=-\frac{4}{7}x+4\frac{1}{7}

Step-by-step explanation:

So, in order to solve this problem, I started off by drawing it out. On my graph that I have attached below, I first started out by locating the points (-5,7) and (2,3). Now, this is an optional step, but I highly encourage practicing your graphing skills by solving this problem on graph paper as well. Next, I connected the two points that I just graphed. This is the line that passes through (-5,7) and (2,3).

Now, here is where the actual solving starts. If you haven't already been taught this yet, I will introduce it to you now. I am going to find the equation of this line by filling in what I know in the equation y=mx+b, where m= the slope of the line, and b= y intercept.

Slope of the line: m= \frac{y_{1} - y_{2}  }{x_{1} - x_{2}  } = \frac{7-3}{-5-2} = \frac{4}{-7}= -\frac{4}{7}

If you haven't been taught how to find the slope of a line I recommend you find out.

Substitute the slope into the equation.

y=-\frac{4}{7} x+b\\

Now, we will solve for the 'b,' or y intercept.

We already have x and y values to use: (-5,7) or (2,3). I'll use x=2 and y=3 to solve for the y intercept.

y=-\frac{4}{7} x+b\\\\3=-\frac{4}{7} *2+b\\\\3=-\frac{8}{7} +b\\b=3+\frac{8}{7} \\b=\frac{21}{7}+\frac{8}{7}=\frac{29}{7} =4\frac{1}{7} \\b=4\frac{1}{7}

Last step: substitute the slope and y intercept into y=mx+b.

y=mx+b\\y=-\frac{4}{7}x+4\frac{1}{7}

That is the answer to this problem.

I hope this helps.

3 0
3 years ago
Can someone help me with these two? Please
avanturin [10]
For 16/18 it would be 8/9
For 10/15 it would be 2/3
4 0
2 years ago
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Evaluate 3 divided by 3 plus 3
Kaylis [27]

Answer: 4

Step-by-step explanation:

3/3 + 3

3/3 = 1

1 + 3 = 4

3 0
2 years ago
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