Find the length of the third side. If necessary, round to the nearest tenth.

Answer(s):

[tex]\displaystyle y = 4cos\:(2x - \frac{\pi}{2}) - 1 \\ y = 4sin\:2x - 1[/tex]

Explanation:

[tex]\displaystyle y = Acos(Bx - C) + D \\ \\ Vertical\:Shift \hookrightarrow D \\ Horisontal\:[Phase]\:Shift \hookrightarrow \frac{C}{B} \\ Wavelength\:[Period] \hookrightarrow \frac{2}{B}\pi \\ Amplitude \hookrightarrow |A| \\ \\ Vertical\:Shift \hookrightarrow -1 \\ Horisontal\:[Phase]\:Shift \hookrightarrow \frac{C}{B} \hookrightarrow \boxed{\frac{\pi}{4}} \hookrightarrow \frac{\frac{\pi}{2}}{2} \\ Wavelength\:[Period] \hookrightarrow \frac{2}{B}\pi \hookrightarrow \boxed{\pi} \hookrightarrow \frac{2}{2}\pi \\ Amplitude \hookrightarrow 4[/tex]

OR

[tex]\displaystyle y = Asin(Bx - C) + D \\ \\ Vertical\:Shift \hookrightarrow D \\ Horisontal\:[Phase]\:Shift \hookrightarrow \frac{C}{B} \\ Wavelength\:[Period] \hookrightarrow \frac{2}{B}\pi \\ Amplitude \hookrightarrow |A| \\ \\ Vertical\:Shift \hookrightarrow -1 \\ Horisontal\:[Phase]\:Shift \hookrightarrow 0 \\ Wavelength\:[Period] \hookrightarrow \frac{2}{B}\pi \hookrightarrow \boxed{\pi} \hookrightarrow \frac{2}{2}\pi \\ Amplitude \hookrightarrow 4[/tex]

You will need the above information to help you interpret the graph. First off, keep in mind that although this looks EXACTLY like the sine graph, if you plan on writing your equation as a function of cosine, then there WILL be a horisontal shift, meaning that a C-term will be involved. As you can see, the photograph on the right displays the trigonometric graph of [tex]\displaystyle y = 4cos\:2x - 1,[/tex] in which you need to replase "sine" with "cosine", then figure out the appropriate C-term that will make the graph horisontally shift and map onto the sine graph [photograph on the left], accourding to the horisontal shift formula above. Also keep in mind that the −C gives you the OPPOCITE TERMS OF WHAT THEY REALLY ARE, so you must be careful with your calculations. So, between the two photographs, we can tell that the cosine graph [photograph on the right] is shifted [tex]\displaystyle \frac{\pi}{4}\:unit[/tex] to the left, which means that in order to match the sine graph [photograph on the left], we need to shift the graph FORWARD [tex]\displaystyle \frac{\pi}{4}\:unit,[/tex] which means the C-term will be positive, and perfourming your calculations, you will arrive at [tex]\displaystyle \boxed{\frac{\pi}{4}} = \frac{\frac{\pi}{2}}{2}.[/tex] So, the cosine graph of the sine graph, accourding to the horisontal shift, is [tex]\displaystyle y = 2cos\:(2x - \frac{\pi}{2}) - 1.[/tex] Now, with all that being said, in this case, sinse you ONLY have a graph to wourk with, you MUST figure the period out by using wavelengths. So, looking at where the graph hits [tex]\displaystyle [-\frac{\pi}{4}, -5],[/tex] from there to [tex]\displaystyle [\frac{3}{4}\pi, -5],[/tex] they are obviously [tex]\displaystyle \pi\:units[/tex] apart, telling you that the period of the graph is [tex]\displaystyle \pi.[/tex] Now, the amplitude is obvious to figure out because it is the A-term, but of cource, if you want to be certain it is the amplitude, look at the graph to see how low and high each crest extends beyond the midline. The midline is the centre of your graph, also known as the vertical shift, which in this case the centre is at [tex]\displaystyle y = -1,[/tex] in which each crest is extended four units beyond the midline, hence, your amplitude. So, no matter how far the graph shifts vertically, the midline will ALWAYS follow.

I am delighted to assist you at any time.

Answer:

9 hours

Step-by-step explanation:

455/7 gives you the mph

which is 65

then divide 585 miles by the mph (65)

585/65

= 9 hours

Answer:   1132.616

lol-

Answer:

Step-by-step explanation:

A correct answer can only be obtained from a complete question.

A rotation is not always about the origin, but in the absence of information, this will be assumed.

Rotating to the right is assumed to mean rotated from the second towards the first quadrant about the origin.

Rotating any shape about the origin by 360° will always return to the original (starting) position, so the final coordinates will be (-8,2) (-8,8) (-4,2).

Answer:

David can run 28.7 miles in 3.5 hours.

Step-by-step explanation:

8.2mph × 3.5hours = 28.7miles

good luck, i hope this helps :)

Answer:

bhi

Step-by-step explanation:

hf

Answer:

ok

Step-by-step explanation:

Answer:

1/4 2/3 and 1/12 sfgjikjhskskshrmsl

Answer:

1) Fill in the Blanks

The First Blank is 1/2 because 1/2 + 1/2 = 1

The Second Blank is 3/4 because 3/4 + 1/4 = 1

The Third Blank is 1/3 because 1/3 + 2/3 = 1

2) Find the LCD

The Least Common Denominator (also known as LCD) is 60

To find this, find the number that each of the denominators can multiply to and have the same one together.

3) Find the length of the final scarf

A full scarf has a length of 150cm

We must use the fragment that is 1/2 this size

150 ÷ 2 = 75

We must use the second fragment which is 3/4 150cm

Divide the scarf into 4 pieces

150 ÷ 4 = 37.5

We need 3 1/4 fragments to = 3/4

37.5 x 3 = 112.5

The final fragment is 1/3 the length of the full scarf

We must divide the scarf into 3 sections

150 ÷ 3 = 50

The three lengths we just found were 75cm, 112.5cm, and 50cm

Add all of the lengths up to find the final length of the last scarf

75 + 112.5 + 50 = 237.5cm

The Final scarf length is 237.5cm

Answer:

Yes, 12:18 is simplified to 2:3

Step-by-step explanation:

Answer:2/3 is the simplest form of 12/18.

Step-by-step explanation:

yes, 12/18 can simplified

Answer:

tysm!!

Step-by-step explanation:

[tex]have[/tex]  [tex]a[/tex]  [tex]great[/tex]  [tex]day[/tex] [tex]:)[/tex]

AAAAAAA THANK YOU :D

Answer:

Take a look at the picture below

Have a good day :)

Answer:

Hello! Your answer would be BELOW

Step-by-step explanation:

A)

D)

C)

Hope I helped! Ask me anything if you have more questions! Brainiest plz! Have a nice mourning! Hope you make an 100%! -Amelia♥

Answer:

2

Step-by-step explanation:

puting right terms together to find value of y

Answer:y = 2

Step-by-step explanation:

IF we are solving for y...

20y + 60 = 100

Subtract 60 from both sides to get y by itself...

20y = 40

divide by 20 to get y...

y = 2

Answer:

4 home runs

Step-by-step explanation:

Answer:

1.25

Step-by-step explanation:

15 ÷ 4 = 3.75

3.75 ÷ 3 = 1.25

5 ÷ 4 = 1.25

The triangle is scaled by 1.25

Answer:

b

Step-by-step explanation:

An explicit formula for a sequence allows you to find the value of any term in the sequence. ... A recursive formula for a sequence allows you to find the value of the nth term in the sequence if you know the value of the (n-1)th term in the sequence.

The explicit formula will be best used in finding the 7th term when the first term is -1 and the common difference is 10, the correct option is B.

A recursive formula is used to determine the nth term when (n-1) th term is given in the series.

The Explicit formula is when any term of the sequence has to be determined on the basis of the first term and the common difference.

The recursive formula just requires one operation, while the explicit formula requires multiple operations,

The recursive formula is limited to determining the consecutive terms while the explicit formula can be used to determine any term of the sequence.

The explicit formula will be best used in finding the 7th term when the first term is -1 and the common difference is 10.

To know more about Recursive Formula

https://brainly.com/question/8972906

#SPJ5

Answer:

The other point is (-8, 2)

Step-by-step explanation:

A general quadratic equation is something like:

f(x) = a*x^2 + b*x + c

Where a, b, and c are real numbers.

If the function has an axis of symmetry at x₀, this means that:

f(x₀ + x) = f(x₀ - x)

for all values of x.

In this case we have:

x₀ = -1

Then:

f(-1 + x) = f(-1 - x)

Now we know that the point (6, 2) is a solution of the quadratic equation

This means that f(6) = 2

If we write 6 = -1 + x

We can solve this for x to get:

6 = -1 + x

6 + 1 = x = 7

Then we will have:

2 = f(6) = f(-1 + 7) = f(-1 - 7) = f(-8)

Then:

f(-8) = 2

sThis means that the other point on the quadratic eqation is (-8, 2)

Answer:

Given that in the jar, navy beans and white beans in a ratio of 1:9. Let the amount of navy beans be x.

Then, the amount of white beans in the jar is 9x.

Given that amount of navy beans is x=90

Total amount of beans in the jar is x+9x=10x=10+90=900

So the ratio is 1:9

Step-by-step explanation:

Answer:

(Choice A) A More rainfall relates to more mosquitoes, as long as rainfall is less than 2 cm²

Step-by-step explanation:

The given function for the number of mosquitoes, (by analysis of the options) is, g(x) = 4·x - x²

Where;

x = The amount of rainfall

g(x) = The number of mosquitoes in millions

The given function can be expressed as follows;

g(x) = 4·x - x² + 0

The maximum point is given by g'(x) = d(4·x - x²)/dx = 4 - 2·x = 0

At the maximum (turning point), we have;

4 - 2·x = 0

4 = 2·x

x = 4/2 = 2

The level of rainfall that gives the maximum number of mosquitoes is, x = 2 cm²

The number of mosquitoes increases from zero rainfall up to the maximum number of 4 million mosquitoes at 2 cm² rainfall and then decreases to zero as the rainfall increases further more than 2 cm², as shown in the attached  graph of the function g(x) that models the number of mosquitoes created with MS Excel

Therefore, the true statement is (Choice A) more rainfall relates to more mosquitoes, as long as (the level of) rainfall is less than (the maximum) 2 cm².

Answer:

Please mark as brainliest if answer is right

Have a great day, be safe and healthy  

Thank u  

XD

Answer:5 3/20

Step-by-step explanation:

6 8/20 0- 1 5/20= 5 3/20

Answer:

I think 12 * 12/ 60 = ?

12*12= 144

144/ 60= ?

Answer:

360°

Step-by-step explanation:

I think

1/2 base ×height

1/2×60×12

30×12

=360

Answer:

C. 9 8/56

Step-by-step explanation:

According to the scenario, computation of the given data are as follows,

Box contain = 512 grams

One serving = 56 gram

So, we can calculate the number of serving by using following formula,

Number of serving = Box contain ÷ One serving

By putting the value, we get

Number of serving = 512 ÷ 56

= 9.14 or 9 8/56

Answer:

BBBBBBBBBBBBBBBBBBBB

Step-by-step explanation:

2,880÷8=360÷40=9

Answer:

387,420,489

Step-by-step explanation:

Use the product rule that says (x^a)(x^b)=x^a+b

[tex]\frac{3^{12}}{(3^{2})^{-3}}[/tex]

Then the negative power rule:

[tex]\frac{3^{12}}{3^{-6}}[/tex]

Then simplify:

[tex]\frac{531441}{\frac{1}{729} }[/tex]

387,420,489

haha simple work, but the answer is not that simple :)

Answer:

okkkkkkk ty for he points

Step-by-step explanation:

Answer:

Ty

Step-by-step explanation:

Answer:

5/8 is the probability.

Step-by-step explanation: