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Answer:

x=2

Step-by-step explanation:

got it right on the test i promise

The equation of the line that is tangent to circle A from point C (2, 8) is x = 2 option (A) x = 2 is correct.

It is described as a set of points, where each point is at the same distance from a fixed point (called the center of a circle)

It is given that:

Circle A is located at (6, 5) and has a radius of 4 units.

First, find the slope of the radius

As we know, the ratio that y increase as x increases is the slope of a line. The slope of a line reflects how steep it is, but how much y increases as x increases. Anywhere on the line, the slope stays unchanged (the same).

[tex]\rm m =\dfrac{y_2-y_1}{x_2-x_1}[/tex]

The line passes through (2, 8) and (2, 5)

y - 5 = (-3/0)(x -2)

-x + 2 = 0

x = 2

Thus, the equation of the line that is tangent to circle A from point C (2, 8) is x = 2 option (A) x = 2 is correct.

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Answer:

y=4x+2 or f(x)=4x+2

Step-by-step explanation:

This is because the equation format for a line is y=mx+b, the slope is m and the y-intercept is b. So all you have to do is fill it out to get y=4x+2. Or the other way I listed the equation is right too. Hope this helps!

Answer:

x = 35 and y = 100

Step-by-step explanation:

Let x = dollar cost per dive  and y = dollar cost per night.

ATQ,

4x+3y = 440 .....(1)

and

8x + 5y = 780 .....(2)

Multiply equation (1) by 2.

8x+6y = 880......(3)

Subtract equation (3) from (2).

8x + 5y -(8x+6y)= 780-880

-y = -100

y = 100

Put the value of y in equation (1).

4x+3(100) = 440

4x = 440-300

4x = 140

x = 35

Hence, the value of x is 35 and that of y is 100.

Step-by-step explanation:

x=2

given,

putting the value of x

Answer:

89^2π

Step-by-step explanation:

Using the formulas

A=4πR2

D=2r

Solving for A

A=πD2=π·89^2≈24884.55541

Answer:

c) [tex]\displaystyle \pi[/tex]

Step-by-step explanation:

[tex]\displaystyle \boxed{y = cos\:(2x - \frac{\pi}{2})} \\ \\ 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 0 \\ 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 1[/tex]

OR

[tex]\displaystyle \boxed{y = sin\:2x} \\ \\ 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 0 \\ Horisontal\:[Phase]\:Shift \hookrightarrow 0 \\ Wavelength\:[Period] \hookrightarrow \frac{2}{B}\pi \hookrightarrow \boxed{\pi} \hookrightarrow \frac{2}{2}\pi \\ Amplitude \hookrightarrow 1[/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 = cos\:2x,[/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 by 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 = cos\:(2x - \frac{\pi}{2}).[/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 WILL hit [tex]\displaystyle [-3\pi, 0],[/tex]from there to [tex]\displaystyle [-2\pi, 0],[/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 = 0,[/tex]in which each crest is extended one unit 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:

50.27

Step-by-step explanation:

thats the answer I worked on a laptop so i dont have work.

Answer:

4^4 = 16

16 x 3.14 = 50.24

Step-by-step explanation:

Formula of an area of a circle:

3.14(pi) x r(radius)^2(squared)

Step-by-step explanation:

your answer is right now

Answer:

the solutions are (1,-3) and (4,-6)

Answer:

Hence, r=2cosθ represents a circle with centre (1,0) and radius 1 and (1,0) in polar coordinates too is (1,0

Step-by-step explanation:

hope this helps;)

The name of the shape graphed by the function [tex]r^{2} = 4\;cos[/tex] θ is Limaçon with inner loop.

We have the following function -

[tex]r^{2} = 4\;cos[/tex] θ

We have to find the shape represented by this function.

Polar coordinates are used to represent a point in a two - dimensional plane. In polar coordinate system, the point under consideration is represented with the help of two variables namely [tex]r[/tex] and θ. (Take the reference from the figure attached)

We have -

[tex]r^{2} = 4\;cos[/tex] θ

The relation between variables in polar coordinates and cartesian coordinates is -

[tex]x = rcos\theta\\y=rsin\theta\\r=\sqrt{x^{2} +y^{2} }\\[/tex]

First, lets convert this equation in the rectangular coordinates -                                                      

[tex]r^{3} =4\;r\;cos\;\theta\\r\times\;r^{2} = 4\;r\;cos\;\theta\\\sqrt{x^{2} +y^{2} }\;\times\;(x^{2} +y^{2}) = 4x\\(x^{2} +y^{2})=\frac{4x}{\sqrt{x^{2} +y^{2} }}[/tex]

The above equation in rectangular coordinate system represents a Limaçon with inner loop.

Hence, the name of the shape graphed by the function [tex]r^{2} = 4\;cos[/tex] θ is

Limaçon with inner loop.

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Answer:

more likely mint

Step-by-step explanation:

Answer:

$3616.60 is the amount of money Ashley would pay

Step-by-step explanation:

Hey there user! Looks like you need help! If you don't get how I got the answer, look below!

The whole work I did:

(2400 + 980) x 1.07 = 3616.6

Answer:

6

Step-by-step explanation:

3+9=12 cards

12/2=6

Answer:

they will have 6

Step-by-step explanation:

3+9=12

12/2=6

Answer:

9

Step-by-step explanation:

g(x) = y

So to find x when g(x) = 3, go look at the y = 3 line and find the point, in this case (9,3) the x value (9) is your answer.

Answer:

[tex]A=9600cn^2[/tex]

Step-by-step explanation:

From the question we are told that:

Ratio of square base and slant height [tex]R=6:5[/tex]

Volume [tex]V=48000cm^3[/tex]

Generally the equation for height  Pyramid h is mathematically given by

  [tex]h^2=s^2+(\frac{1}{2}a^2)[/tex]

  [tex]h=\sqrt{s^2+(\frac{1}{2}a)^2)}[/tex]

  [tex]h=\sqrt{5^2+3^2}[/tex]

  [tex]h=4[/tex]

   Where

    a= base Length

    s=slant height of pyramid

Therefore the ratio of height is

  [tex]h=4[/tex]

Generally the equation for The Volume of  Square  based Pyramid V is mathematically given by

 [tex]V=a^2\frac{h}{3}[/tex]

 [tex]V=6^2\frac{4}{3}[/tex]

 [tex]V=48[/tex]

Therefore the ratio of volume is

 V=48

Generally for V=4800

Therefore

  [tex]a=60[/tex]

  [tex]h=40[/tex]

Generally the equation for Area of Square  based Pyramid A is mathematically given by

  [tex]A=a^2+2a\sqrt{\frac{a^2}{4}+h^2 }[/tex]

 [tex]A=60^2+2(60)\sqrt{\frac{(60)^2}{4}+(40)^2}[/tex]

 [tex]A=9600cn^2[/tex]

Therefore the Area of Square  based Pyramid A is

 [tex]A=9600cn^2[/tex]

The equation of the graph is 3 cos(x).

"A cosine wave is a signal waveform with a shape identical to that of a sine wave , except each point on the cosine wave occurs exactly 1/4 cycle earlier than the corresponding point on the sine wave."

General equation of cosine wave is [tex]Acos(B(x-D)) + C[/tex]

Amplitude of the wave is [tex]3\pi[/tex]

and [tex]B = 2\pi/2\pi = 1[/tex]

So , the equation of wave is [tex]3\cos(x).[/tex]

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Unbiased, systematic random, valid.

Answer:

Multiply 10cm by 4cm, which gives you 40cm^2 and then divide by 2cm. 40cm^2 divided by 2cm equals 20cm^2.

Step-by-step explanation:

OK so your gonna add 6 and 11 then multiply it by 3, the height. then your gonna divide by 2

Step-by-step explanation:

In a cylinder

We know that

[tex] \boxed { \sf \: volume = \pi {r}^{2} h} \\ \rm \rightharpoonup \: \frac{22}{7} \times {5}^{2} \times 12 \\ \rm \rightharpoonup \: \frac{22}{7} \times 25 \times 12 \\ \rm \rightharpoonup \: \frac{6600}{7} \\ \rm \rightharpoonup \: 942.8cm {}^{3} [/tex]

Answer:

approx. 943 cm^3

Step-by-step explanation:

π × 5^2 x 12 = approx. 943 cm^3

Answer:

y=7x-10

Step-by-step explanation:

m=(-3-4)/(1-2)

m=-7/-1

m=7

y-y1=m(x-x1)

y-4=7(x-2)

y=7x-14+4

y=7x-10

Step-by-step explanation:

[tex] \rm \rightharpoonup \: \frac{ - 2}{9}m + 12 = - 8 \\ \rm \rightharpoonup \: \frac{ - 2}{9} m = - 8 - 12 \\ \rm \rightharpoonup \: \frac{ - 2}{9} m = - 20 \\ \rm \rightharpoonup \: m = \frac{ - 20 \times 9}{ - 2} \\ \rm \rightharpoonup \: m = 10 \times 9 \\ \rm \rightharpoonup \: m = 90[/tex]

Answer:

90

Step-by-step explanation:

−2/9m+12=−8

Step 1: Subtract 12 from both sides.

−2/9m+12−12=−8−12

−2/9m=−20

Step 2: Multiply both sides by 9/(-2).

(9/−2)*(−2/9m)=(9/−2)*(−20)

m=90

Answer:

Step-by-step explanation:

Match each cone’s measures to its corresponding volume.

The formula for the volume of a cone is given as:

πr²h/3

a) base area=16in² height=6in

Base area of a cone = πr²

Hence, volume of this cone = 16in² × 6 in

= 96in³

•Diameter=12in height=5in

•Radius=5in height=4

V=60 in3

V=100/3 in3

V=32 in3

Answer:

Radius=                         v=100/3 pie in ^3

base area=                    v=32 pie in. ^3

Diameter                        v=60 pie in ^3

Step-by-step explanation:

hope this helped :))) !!

Answer:

Length of BC = 12 inch

Step-by-step explanation:

Given:

ΔABC is a right angle triangle

Length of AB = 9 inch

Length of AC = 15 inch

Find;

Length of BC

Computation:

Using Pythagoreans theorem;

Hypotenues² = parpendicular² + Base²

Step 1 :

AC² = AB² + BC²

Step 2 :

15² = 9² + BC²

Step 3 :

225 = 81 + BC²

Step 4 :

225 - 81 = BC²

Step 5 :

BC² = 144

Step 6 :

BC = √144

Step 7 :

BC = 12 inch

Length of BC = 12 inch

Answer:

4x² - 6x

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Distributive Property

Algebra I

Step-by-step explanation:

Step 1: Define

(3x² + 2y² - 3x) + (2x² + y² - 2x) - (x² + 3y² + x)

Step 2: Simplify

Answer:

66.66%

Step-by-step explanation:

To find percentage error you would subtracted the expected value by the actual, and then you would dive that by he actual amount. finally to get you're percent you would multiply by 100. Meaning you would do the following:

1-3=-2

-2/3=-.6666

.6666 x 100 = 66.66%

Answer:

66.66

hope this helped and have a good day :D