Find the amplitude, period, and phase shift of the function defined by:
y=3-2cos(3x+pi)

Answers

Answer 1

Answer: This is a sinusoidal wave with an amplitude of 2 , riding on a constant value of 3 .
The 3 isn't part of the function's amplitude ... the function wiggles between 2 under it
and 2 over it.

The period of the function is the change in 'x' that adds (2 pi) to the angle.

When x=0, the angle is pi

When the angle is (3 pi) . . .

3 pi = 3x + pi
2 pi = 3x
x = 2/3 pi The period of the function is 2/3 pi .

When x=0, the function is cos(pi) rather than cos(0).
So the function is a cosine with a phase shift of +pi.
It could also be described as a sine with a phase shift of -pi/2 or +3pi/2 .

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If the sum of the measures of ∠1 and ∠2 is 180°, what is the sum of the measures of ∠3 and ∠4?A) 360°
B) 120°
C) 90°
D) 180°

Answers

in any 4-sided shape, the angles add to 360. if angles 1 & 2 are 180, 3 & 4 are also 180. the answer is D

Final answer:

The sum of the measures of ∠3 and ∠4 is 180°.

Explanation:

To find the sum of the measures of ∠3 and ∠4, we need to know the relationship between these angles and ∠1 and ∠2. If the sum of the measures of ∠1 and ∠2 is 180°, this means that these two angles are supplementary. In other words, they add up to 180°. Since angles ∠3 and ∠4 are corresponding angles with ∠1 and ∠2, they will also be supplementary to each other. Therefore, the sum of the measures of ∠3 and ∠4 is 180° as well.

Learn more about Angle Sum here:

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What is the correct classification of 7x2 + 9x + 4?

Answers

it is binomial because you do all that

8|x-6|-9=4

solve for x

Answers

$8|x-6|-9=4 \n \n 8|x - 6| = 4 + 9 \n \n 8|x - 6| = 13 \n \n |x - 6| = (13)/(8) \n \n ----- \n \n x - 6 = (13)/(8) \n \n x = (13)/(8) + 6 \n \n x = (61)/(8) \n \n ----- \n \n -x + 6 = (13)/(6) \n \n 6 - x = (13)/(8) \n \n -x = (13)/(8) - 6 \n \n -x = - (35)/(8) \n \n x = (35)/(8) \n \n ----- \n \n x = (35)/(8) , (61)/(8) \n \n$

The answer is: x = 35/8 and x = 61/8.

PLEASE HELP I"LL GIVE BRAINLEST The sum of a number n and 21 is 57. Is n equal to 25, 36, or 41?

25
41
36

Answers

Answer:

Step-by-step explanation:

carry on lerning

I'm not sure but correct me if I'm wrong

Answer:

Step-by-step explanation:

We know that n + 21 = 57 so n has a value that satisfies this equation, we can use algebra to support our thinking:

First I have laid out my equation:

1. $n + 21 = 57$

Then I subtracted 21 from 57 to isolate the n

2. $n = 57 - 21$

And the final value is 36

3. $n = 36$

How to determine the acute angle between the line 2x+3y=6 and the y axis?

Answers

$2x+3y=6\n3y=-2x+6\ \ \ /:3\ny=-(2)/(3)x+2\n\nthe\ angle\ between\ the\ line\ and\ the\ x\ axis-\alpha\n\ntg\alpha=-(2)/(3)\approx-0.666...\to\alpha\approx124^o\n\nthe\ acute\ angle\ between\ the\ line\ and\ the\ y\ axis\ is\ 124^o-90^o=34^o$

Find the rate in the following problem.Eighty-four is what percent of 212?

3.962%
39.62%
2.52%
25.2%

Answers

Answer is 39.62% 84 is 39.62% of 212. Let's find 39.62% of 212 212 x 39.62% 212 x 39.62/100 83.9944 Which is approximately equal to 84 So the answer is 39.62%

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