What is an equation of the line that passes through the point (-1,-3)(−1,−3) and is parallel to the line 6x-y=16x−y=1?

The characteristics of the sinusoidal function can be found from the given

graph of the function.

The sinusoidal function is the sine function that has the following general equation;

a = The amplitude

b = Angular frequency

h = The horizontal shift

k = The vertical shift

The minimum value of the sinusoidal function.

From the given graph, we have;

The amplitude, a = 2

The period, T = 10 = 2·π/b

b = π/5

The vertical shift, k = 3

The horizontal shift = 0

The minimum value of the function = k - a

Therefore;

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Answer:

[tex]\displaystyle 1[/tex]

Step-by-step explanation:

[tex]\displaystyle \boxed{y = 2cos\:(\frac{\pi}{5}x - \frac{\pi}{2}) + 3} \\ \\ 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 3 \\ Horisontal\:[Phase]\:Shift \hookrightarrow \frac{C}{B} \hookrightarrow \boxed{2\frac{1}{2}} \hookrightarrow \frac{\frac{\pi}{2}}{\frac{\pi}{5}} \\ Wavelength\:[Period] \hookrightarrow \frac{2}{B}\pi \hookrightarrow \boxed{10} \hookrightarrow \frac{2}{\frac{\pi}{5}}\pi \\ Amplitude \hookrightarrow 2[/tex]

OR

[tex]\displaystyle \boxed{y = 2sin\:\frac{\pi}{5}x + 3} \\ \\ 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 3 \\ Horisontal\:[Phase]\:Shift \hookrightarrow 0 \\ Wavelength\:[Period] \hookrightarrow \frac{2}{B}\pi \hookrightarrow \boxed{10} \hookrightarrow \frac{2}{\frac{\pi}{5}}\pi \\ Amplitude \hookrightarrow 2[/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 = 2cos\:\frac{\pi}{5}x + 3,[/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 2\frac{1}{2}\:units[/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 2\frac{1}{2}\:units,[/tex]which means the C-term will be positive, and by perfourming your calculations, you will arrive at [tex]\displaystyle \boxed{2\frac{1}{2}} = \frac{\frac{\pi}{2}}{\frac{\pi}{5}}.[/tex]So, the cosine graph of the sine graph, accourding to the horisontal shift, is [tex]\displaystyle y = 2cos\:(\frac{\pi}{5}x - \frac{\pi}{2}) + 3.[/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 approximately hits [tex]\displaystyle [-10, 3],[/tex]from there to the y-intercept of [tex]\displaystyle [0, 3],[/tex]they are obviously approximately [tex]\displaystyle 10\:units[/tex]apart, telling you that the period of the graph is [tex]\displaystyle 10.[/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 = 3,[/tex]in which each crest is extended two units beyond the midline, hence, your amplitude. So, no matter how far the graph shifts vertically, the midline will ALWAYS follow.

**Now, the minimum value is the lowest possible value the graph touches, and in this case, the graph's lowest peaks cycle around [tex]\displaystyle y = 1,[/tex]therefore the minimum of his sinusoidal function is [tex]\displaystyle 1.[/tex]

I am delighted to assist you at any time.

Answer:

D

Step-by-step explanation:

Answer:

d

Step-by-step explanation:

x=6

Hopefully it is correct and I tried my best good luck

Answer:

150

Step-by-step explanation:

1/2 multiply base times hieght

Answer:

150

Step-by-step explanation:

given in the pic above

in the pic its 15×10

i have written mistakely 15×12

Answer:

20c= 30(c-9)

Step-by-step explanation:

The first step in solving a word problem is always to organize the information you have, and put it into equations to solve.

Let c be the cost per student originally.

The cost of the bus has not changed, so the cost/student * the number of students has not changed:

Answer:

hi :)

910

use a percantage calculator, i looked it up and 182 percent of 500 would be 910

Step-by-step explanation:

Answer:

Step-by-step explanation:

Quadrilaterals

Square

Rectangle

Rhombus

Trapezoid

Parallelogram

The volume of the cylinder is 288π units²

volume of a cylinder = πr²h

where

Therefore,

r = 6 units

h = 8 units

volume of the cylinder = π × 6² × 8

volume of the cylinder = π × 36 × 8

volume of the cylinder =  288π units²

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Given:

Point on straight line = (-6,4)

Gradient = -2

To find:

The equation of the line.

Solution:

Point-slope form: If a line passes through the point [tex](x_1,y_1)[/tex] with slope m, then the equation of the line is

[tex]y-y_1=m(x-x_1)[/tex]

The line passes through the point (-6,4) with slope -2. So, the equation of the line is:

[tex]y-4=-2(x-(-6))[/tex]

[tex]y-4=-2(x+6)[/tex]

[tex]y-4=-2x-12[/tex]

Adding 4 on both sides, we get

[tex]y-4+4=-2x-12+4[/tex]

[tex]y=-2x-8[/tex]

Therefore, the equation of the line is [tex]y=-2x-8[/tex].

Answer:                         t=33

Step-by-step explanation:

Answer:

t = 33

Step-by-step explanation:

t/3 = 11

t = 11 × 3

t = 33

Answer:

triangular prism

Step-by-step explanation:

xoxo <3 hope this helped!

Answer:

chicken wing chicken wing hot dog and baloney chicken and macaroni chillen with my homie

Step-by-step explanation:

Answer:

2

Step-by-step explanation:

Total number of cards = 65

she makes the same number of cards everyday for 7 days

Number of days = 7

Cards per day = 65 / 7 = The result is 9 with a remainder of 2.

This means, she makes 9 cards per day for 7 days. Then on the last day she is left with 2 cards to make.

Answer:

-20

Step-by-step explanation:

Answer:

It's -20F :)

Step-by-step explanation:

hsbshehehebvdhshhakakkanabsbxh

Around my room before you came.

Answer: around my room before you came

Step-by-step explanation:

Answer:

243,000

Step-by-step explanation:

(2.7×10^-3) ÷ (9×10^7) | Given (thanks for proper formatting :')

(2.7 × 0.001) ÷ (9 × 10,000,000) | Start with exponents

0.0027 ÷ 90,000,000 | Multiply what's in the parenthesis

243,000 | Divide these numbers

Answer:

x=5.5, -5.5

you can use a calculator too

Answer:

45.5

Step-by-step explanation:

....................

This problem is just try and error.

First we try number 2.5 since its the average of all the answers.

2.5^2=6.25

This is smaller than 7 so the answer is either 2.6 or 2.8

Now let's try 2.7

2.7^2=7.29

Which is bigger than 7 and that means the correct answer is 2.6 :)

no, this is false. 1 is greater than 12/20.

Answer:

No. Its not cause 20/20 is what makes ita whole 1 so if ita 12 than its not equal to 1

Answer:

cos α = 8/17

Apply Pythagoras theorem for triangle ,

Let get unknown side of triangle is y

17^2 = 8^2 + y^2

17^2 - 8^2 =  y^2

225 = y^2

y = sqrt(225)

y = 15

tan α = 15/8

Step-by-step explanation:

Answer:

The correct answer is 8/15 on edg

Answer:

Angle CDB = 32

Step-by-step explanation:

Here, we want to find the measure of CDB

Mathematically;

angle DCB = 90

This is because angle at the center is twice the angle at the circumference

Also;

angle CAD = angle CBD = 58

This is because they are angles in the same segment

Furthermore;

CDB + 90 + 58 = 180

This is because sum of angles in a triangle is 180

CDB = 180-90-58

CDB = 32

Answer:

1 = 2.25

Step-by-step explanation:

4.5/2 = 2.25

Meaning 1 is 2.25

Hope this helped!

Answer:

2.25

Step-by-step explanation:

Answer:

NO

Step-by-step explanation:

okay here you goo

Answer:

are you in a rush or can i do it in like 5 mins

Answer:

3 hours

Step-by-step explanation:

Answer:

3 hours

Step-by-step explanation:

120/40=3

Answer:

152cm^2

Step-by-step explanation:

Find area of whole rectangle = 12 * 18 = 216cm^2

Find area of smaller square = 8 * 8 = 64cm^2

Take away the larger area from the smaller area = 216 - 64 = 152cm^2

(^2 indicates cm squared)

Hope this helps :)

Answer:

Area of the given figure is 152 sq.cm

Step-by-step explanation:

area of given figure (A)

= area of rectangle - area of minor square

=》A = (12 × 18) - (8 × 8)

=》A = 216 - 64

=》A = 152 sq.cm

Answer:

r(0) = -7

r(2) = -5

r(5) = -12

Step-by-step explanation: