Which equations represent circles that have a diameter of 12 units and a center that lies on the y-axis? Select two options.

A. x2 + (y – 3)2 = 36

B. x2 + (y – 5)2 = 6

C. (x – 4)² + y² = 36

D. (x + 6)² + y² = 144

E. x2 + (y + 8)2 = 36

Answers

Answer 1

The equation represents a circle that has a diameter of 12 units will be x² + (y - 3)² = 36. Hence, option A is correct.

What is an equation?

Equations are mathematical expressions that have two algebras on either side of an equal (=) sign. The expressions on the left and right are shown to be equal to one another, demonstrating this relationship. L.H.S. = R.H.S. (left-hand side = right side) is a fundamental simple equation.

As per the provided information in the question,

Use the equation of a circle,

(x -a)² + (y - b)² = r²

Here, a and b represent the center of the circle and r is the radius of the circle.

A center can be anywhere along the y-axis if it is (0, 3).

(x -0)² + (y - 3)² = 6²

x² + (y - 3)² = 36

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Related Questions

What is the minimum temperature?
STEM AND LEAF
I will appreciate your help!!

Answers

7) The minimum temperature is 31⁰F. So, the answer is option B.

What is stem and leaf plot?

The frequency of various types of values can be easily observed using a stem and leaf plot, also known as a stem and leaf diagram. This graph displays numerical data that is arranged in chronological order. There is a stem and a leaf for each piece of data.

Each first or second digit of the data value is divided into a stem, and the last digit is represented by a leaf, in a stem and leaf plot, which is represented by a particular table. The stem and leaf plot key is the "|" symbol that is used to indicate the values of the stem and the leaf. In the case of 46, the stem is 4 and the leaf is 6.

7) The minimum value in the stem is 3

And the minimum value in the leaf is 1

So, according to the given key 4|3=43°F

Here | denotes the key symbol.

So, in this solution the minimum value of stem is 3 and the minimum value of leaf is 1

Therefore, it must be 3|1

Hence, from the given key

This can be written as 31⁰F

Therefore, the answer is option B.

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What is the largest possible product of two positive integers whose sum is 9?

Answers

Answer:

The largest possible product of two positive integers whose sum is 9 is achieved when the two integers are as far apart as possible, which occurs when one integer is the largest possible integer and the other is the smallest possible integer. The largest possible integer is the one that is closest to but less than 9, which is 8, and the smallest possible integer is 1. The product of 8 and 1 is 8, so the largest possible product of two positive integers whose sum is 9 is 8.

Bro someone help me with this math pls fast ​

Answers

Answer:

Step-by-step explanation:

Can You Please Send Me A Clearer Picture I Can Help

Simplify the expression: 5x + 8 – 13y – 4x – 18 + 16y A. x + 3y – 10 B. x – 3y + 10 C. 3y + 10 D. x – 3y

Answers

Answer:

(A) x + 3y - 10

Step-by-step explanation:

Algebraic Expressions

This Questions tests on the concept of solving algebraic expressions.

Eg. 7x + 4y + 3y + 9x = 16x + 7y

(Note that BODMAS rule applies to algebraic expressions as well.)

Solution

Given from the question:

5x + 8 - 13y - 4x - 18 + 16y

= 5x - 4x - 13y + 16y + 8 - 18 (Regroup the terms)

= x + 3y - 10 (A)

May someone explain this?

Answers

m<A = 112.5

m<B = 67.5

m<C = 67.5

m<D = 112.5

Consider the provided information.

The sum of all interior angle of a polygon is: (n-2)*180

Substitute n = 8.

(8-2)*180 = 1080

Thus, the measure of each angle is:

∠B and ∠C are congruent and their sum is 135°

∠B+∠C=135°

∠B=67.5°

Hence, the m angle B and m angle C is 67.5°.

The sum of all angles of a quadrilateral is 360°.

∠A+∠D+∠B+∠C=360°

∠A+∠D=360°-135°

∠A+∠D=225°

∠A and ∠D are congruent and their sum is 225°

∠A+∠D=225°

∠A=∠D=112.5°

Hence, the m angle A and m angle D is 112.5°.

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You have $3456 in your account. You just earn interest for this period. You deposited $67 into your account from a yard sale you did. You withdrew some cash to buy a small tv for your kitchen. The Tv was listed for $155 and had a discount of 11% and a sales tax of 6% In the end you have a balance of $3618. What percent interest did you earn this period on your account? ​

Answers

Answer:

$7307

Step-by-step explanation:

you need to add them together okay got.

Help me plssssssssssssssssssss

Answers

Answer:

(2,0)

Step-by-step explanation:

5x + 9y = 10

4x -3y = 8  If I multiple this second equation all the way through by 3, then the y's would cancel out when I add the equations together.

12x -9y = 24  multiplied the second equation through by 3

5x + 9y = 10  Add the 2 equations together

17x         = 34  Divide both sides by 14

x = 2

Plug 2 in for x for either of the two original equations and solve for y

5x + 9y = 10

5(2) + 9y = 10

10 + 9y = 10  Subtract 10 from both sides

9y = 0  Divide both sides by 0

y = 0

(2,0)

39 is 0.3​% of what​ number? Use pencil and paper. Would you expect the answer to be a lot less than 39​, slightly less than ​39, slightly greater than ​39, or a lot greater than ​39? Explain.

Answers

39 is 0.3​% of 13,000.

What is Algebra?

A branch of mathematics known as algebra deals with symbols and the mathematical operations performed on them.

Variables are the name given to these symbols because they lack set values.

In order to determine the values, these symbols are also subjected to various addition, subtraction, multiplication, and division arithmetic operations.

Given:

let the number be x

So, 0.3% of x= 39

0.3/ 100 x= 39

0.3 x = 3900

x= 3900/ 0.3

x= 13000

Hence, 39 is 0.3​% of 13,000.

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Given
f
(
x
)
=

5
x
+
2
f(x)=−5x+2, find
f
(

4
)
f(−4).

Answers

Answer: 22

Step-by-step explanation:

f(x) = -5x + 2

Substitute the x for -4

f(-4) = -5(-4) + 2

f(-4) = 20+2

f(-4) = 22

PLEASE HELP ASAPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPP

Answers

Answer: yes

Step-by-step explanation: there’s a pattern of 2, as we can see from the first equation. 5+2 is 7, so therefore the answer is yes.

brainliest + ten points to first correct answer! word problem.

A high school soccer team has 18 players. There are 16 years, for juniors, four sophomores, and the rest are freshman. What is the ratio of seniors to freshman?

Answers

                                             Incomplete question

What’s the value of r in the equation -4/3(r+3)= -2

Answers

Answer:

-4 = -6(r+3)

r+3 = 2/3

r = -1/2/3

Answer: -3/2

Why:

First we are going to want to distribute the -4/3 into (r + 3)

This gives us: -4/3r -4 = -2

Next let’s get rid of the denominator of 3 on the fraction -4/3 we can do this by multiplying everything on both sides of the equation by 3

This gives us: -4r - 12 = -6

Next let’s add 12 to both sides to cancel out -12:

-4r = 6

Finally let’s divide both sides by -4 to cancel it out as well:

r = 6/-4 which can simplify into -3/2

Pythagorean Theorem On Coordinate Systems-Independent Worksheet

Find the distance between all the points listed below

Help me people please

Answers

Answer: The distance between the points (3, 4) and (0, 0) is 5.

Step-by-step explanation: The Pythagorean Theorem states that in a right triangle, the square of the length of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the lengths of the other two sides. This theorem can be used to find the distance between two points in a coordinate system.

To find the distance between two points in a coordinate system, you can use the following steps:

Identify the coordinates of the two points.

Calculate the difference between the x-coordinates and the y-coordinates of the two points.

Use the Pythagorean Theorem to find the distance between the two points.

For example, to find the distance between the points (3, 4) and (0, 0), you would do the following:

Identify the coordinates of the two points: (3, 4) and (0, 0).

Calculate the difference between the x-coordinates and the y-coordinates of the two points: 3 - 0 = 3 for the x-coordinates and 4 - 0 = 4 for the y-coordinates.

Use the Pythagorean Theorem to find the distance between the two points: the square of the length of the hypotenuse is equal to the sum of the squares of the lengths of the other two sides, so the distance between the points is equal to the square root of 3^2 + 4^2 = 9 + 16 = 25 = 5.

Therefore, the distance between the points (3, 4) and (0, 0) is 5.

The length of the picture is mixed number six and three fourths inches. There should be a length of fraction one half inch of wood on either side of the picture. What is the total length of wood required? a 7 inches b the mixed number seven and three fourths inches c 8 inches d the mixed number eight and one half inches

Answers

Answer:

b)  The mixed number seven and three fourths inches.

Step-by-step explanation:

Given:

Length of picture = 6³/₄ inMargin either side of the picture = ¹/₂ in

To find the total length of the wood, sum the length of the picture and two margins:

[tex]\implies \sf Total\;length=6\frac{3}{4}+\dfrac{1}{2}+\dfrac{1}{2}[/tex]

Two halves equal 1:

[tex]\implies \sf Total\;length= 6\frac{3}{4}+1[/tex]

When adding a mixed number to a whole number, simply add the whole numbers together:

[tex]\implies \sf Total\;length= (6+1)\frac{3}{4}[/tex]

[tex]\implies \sf Total\;length= 7\frac{3}{4}[/tex]

Therefore, the total length of the wood required is:

7³/₄ inches

Graph the linear equation y = 2x + 1.​

Answers

x = 2 y = 1 (2,1)
That is the answer I hope I havent done this in years

is 40 miles in 3 hours faster then 50 miles in 4 hours

Answers

Answer:

Step-by-step explanation:

To find which one is faster, it would be distance/speed.

40m/3 = 13.33 repeating

50m/4 = 12.5

You would be traveling faster at 40 miles in 3 hours since you are going at 13.33 miles per hour

pls solve with solution(s)^^

1.) 2.25 divided by 2.5 =

2.) 35 divided by 0.05 =

3.) 45 divided by 0.15 =

4.) 630.21 divided by 0.07 =

5.) 0.29 divided by 9.28 =​

Answers

The solutions for the given division are explained below:

What is meant by division?

One of the four fundamental operations of arithmetic, or how to mix numbers to create new ones, is division. Addition, subtraction, and multiplication are the other operations.

In its most basic form, the division of two natural numbers involves counting the instances in which one number is contained inside another, among other possible applications. It is not required that this number be an integer. When two natural numbers are divided with a remainder, or in the Euclidean method, the result is an integer quotient, or the number of times the second number is entirely included in the first, and a remainder, or the portion of the first number.

1) 2.25/2.5=0.9

2) 35/0.05=700

3) 45/0.15=300

4) 630.21/0.07=9003

5) 0.29/9.28=0.03125

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Solve the following matrix equations .
with full explanations and working please

Answers

The matrix equations are solved as

a) The value of matrix X is   [tex]X = \begin{pmatrix}-2&0&4\end{pmatrix}[/tex]

b) The value of matrix X is  [tex]X=\begin{pmatrix}-5&1\end{pmatrix}[/tex]

What is multiplication of matrices?

The product of two matrices A and B is defined if the number of columns of A is equal to the number of rows of B. The first matrix must have the same number of columns as the second matrix has rows. The number of rows of the resulting matrix equals the number of rows of the first matrix, and the number of columns of the resulting matrix equals the number of columns of the second matrix

Given data ,

a)

Let the value of the matrix be X

Now , the equation is

[tex]2X = \begin{pmatrix}-4&0&8\end{pmatrix}[/tex]

Now , on simplifying the equation , we get

Divide by 2 on both sides of the equation , we get

[tex]X = \begin{pmatrix}-4&0&8\end{pmatrix} / 2[/tex]

Now , the value of matrix X is

[tex]X = \begin{pmatrix}-2&0&4\end{pmatrix}[/tex]

Therefore , the value of matrix X is   [tex]X = \begin{pmatrix}-2&0&4\end{pmatrix}[/tex]

b)

Let the value of the matrix be X

Now , the equation is

[tex]3X\:-\:\begin{pmatrix}1&7\end{pmatrix}=\begin{pmatrix}-16&-4\end{pmatrix}[/tex]

On simplifying the equation , we get

Adding  [tex]\begin{pmatrix}1&7\end{pmatrix}[/tex]  on both sides of the equation , we get

[tex]3X=\begin{pmatrix}-16&-4\end{pmatrix}+\begin{pmatrix}1&7\end{pmatrix}[/tex]

Now , the value for 3X can be calculated as adding the 2 matrices

[tex]3X=\begin{pmatrix}-15&3\end{pmatrix}[/tex]

Divide by 3 on both sides of the equation , we get

[tex]X=\frac{1}{3}\begin{pmatrix}-15&3\end{pmatrix}[/tex]

So , [tex]X=\begin{pmatrix}-5&1\end{pmatrix}[/tex]

Therefore , the value of matrix X is  [tex]X=\begin{pmatrix}-5&1\end{pmatrix}[/tex]

Hence , the matrix equations are solved as

a) The value of matrix X is   [tex]X = \begin{pmatrix}-2&0&4\end{pmatrix}[/tex]

b) The value of matrix X is  [tex]X=\begin{pmatrix}-5&1\end{pmatrix}[/tex]

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Given (x – 7)2 = 36, select the values of x. x = 13 x = 1 x = –29 x = 42

Answers

Option A and B
Substitute x in equation
(13 - 7)^2 = 6^2 = 36.
(1-7)^2 = -6^2 = 36.
Hence value x = 13 and x = 1 is the answer

If 2x-18=-5 then what if x?

Answers

2x-18=-5
2x-18+18=-5+18
2x=13
x=6.5

Hope this helps
exact form: 13/2
decimal: x= 6.5
mixed number: 6 1/2

interval notation: -6.5 < x≤ 3

Answers

Answer:

(-6.5,3]

Step-by-step explanation:

below.
Enter your answer in the box below.
5432
2 3 4 5

Answers

Answer: 1/-4

Step-by-step explanation:

Find your initial y and x points (-2y and 0x) and then find another point that is equivalent (-1y and -4x) and use m=rise/run = y2-y1/x2/x1 to get your answer of 1/-4

The sum of three consecutive integers is 42. Which of the equations could represent this relationship? Select the two correct answers. x + (x + 1) + (x + 2) = 42 x + (x + 2) + (x + 4) = 42 (x minus 1) + x + (x + 1) = 42 (x minus 2) + x + (x + 2) = 42 x + 2 x + 3 x = 42

Answers

There are two ways to represent this equation: "x + (x + 1) + (x + 2) = 42" and "(x minus 1) + x + (x + 1) = 42".

What is equation?

The definition of an equation in algebra is a mathematical statement that demonstrates the equality of two mathematical expressions. For instance, the equation 3x + 5 = 14 consists of the two equations 3x + 5 and 14, which are separated by the 'equal' sign. A mathematical phrase with two equal sides and an equal sign is called an equation. An example of an equation is 4 + 6 = 10.

Here,

There are 2 ways,

x+(x+1)+(x+2)=42

(x-1)+x+(x+1)=42

This equation can be written as "x + (x + 1) + (x + 2) = 42" or "(x minus 1) + x + (x + 1) = 42," respectively.

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cos theta = 3/5 and sin theta < 0. Identify the quadrant of the terminal side of theta and
find sin theta

Answers

The angle is in 4th quadrant and the value of [tex]sin\theta[/tex] is -(4/5).

What is Trigonometry ?

One of the most significant areas of mathematics, trigonometry has a wide range of applications. The study of the connection between the sides and angles of the right-angle triangle is essentially the focus of the field of mathematics known as "trigonometry." Therefore, employing trigonometric formulae, functions, or trigonometric identities can be helpful in determining the missing or unknown angles or sides of a right triangle. Angles in trigonometry can be expressed as either degrees or radians.

There are two other sub-branch classifications for trigonometry. The two varieties of trigonometry are as follows:

Plane TrigonometrySpherical Trigonometry

Everything is normal in Quadrant I, and Sine, Cosine, and Tangent are all positive.

However, the x direction is negative and the cosine and tangent become negative in Quadrant II.

Sine and cosine have negative values in Quadrant III.

Sine and tangent are negative in Quadrant IV.

since,

[tex]cos\theta = 3/5 (+ve)\\\ sin\theta\ is\ ( -ve)[/tex].

So the angle is in 4th Quadrant.

we know,

[tex]sin^{2}\theta + cos^{2}\theta = 1[/tex]

⇒ [tex]sin^{2}\theta = 1 - (\frac{3}{5}) ^{2}[/tex]

⇒[tex]sin^{2}\theta = 1 - \frac{9}{25} = \frac{16}{25}[/tex]

⇒ [tex]sin\theta = -\frac{4}{5}[/tex]     (since The angle is in 4th Quadrant)

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What is the area of AUVW?
-10 -8
-6
W
-4
V
2
104
B
56
2
0
2 $
-6
-8
-10
U
A
6
6
8
00
10

Answers

The area of ΔUVW is 21 units.

What is the area of the triangle?

The total area bounded by a triangle's three sides is referred to as the triangle's area. In essence, it is equal to 1/2 of the base times the height, or A = 1/2 b x h. As a result, we need to know the triangular polygon's base (b) and height (h) in order to calculate its area.

From given figure we can see that WV is the height of the triangle and WU is the base.

W = (-3, 6), V = (-3, -8) and U = (0, 6).

To find the distance WV and WU by using the distance formula.

[tex]d = \sqrt{(x_2-x_1)^2 + (y_2-y_1)^2}[/tex]

So,

[tex]WV = \sqrt{(-3+3)^2 +(-8-6)^2} = \sqrt{(-14)^2} = 14\\ WU = \sqrt{((0+3)^2+(6-6)^2} = \sqrt{3^2} = 3[/tex]

Hence, the height is 14 units and the base is 3 units.

Area of triangle = 1/2 x base x height

                           = 1/2 x 3 x 14

Area of triangle = 21 units

Hence, the area of ΔUVW is 21 units.

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P(A) = 0.80, P(B) = 0.60. What is P(B | A)

Answers

Answer:

[tex]\sf P(B|A)=0.60[/tex]

Step-by-step explanation:

Given:

P(A) = 0.80P(B) = 0.60

If events A and B are independent then:

[tex]\boxed{\begin{aligned} \sf P(A \cap B)&=\sf P(A)P(B)\\\sf P(A|B)&=\sf P(A)\\\sf P(B|A)&=\sf P(B)\end{aligned}}[/tex]

Therefore:

[tex]\implies \sf P(B|A)=P(B)=0.60[/tex]

question 3 a data analyst is working with the world happiness data in tableau. what tool do they use to select the area on the map representing finland?

Answers

Pan tool do the data analyst use to select the area on the map representing Finland.    

What is data analyst?

A data analyst is working with the world happiness data in table. To use Pan tool to select the area on the map representing Finland.

A data professional examines data to uncover critical insights about a company's consumers and how the data may be utilized to address problems. They also share this information with corporate executives and other stakeholders.

Pan allows us to shift the map to focus on it or present the areas in the way we wish. Simply pick the Pan Option and move the map around to suit your needs. Alternatively, you may move the map by holding down the Shift key.

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Match each of the expressions to the right point.

Answers

Match each of the expressions to the right point:

[tex]-\sqrt{18}[/tex] = c

[tex]-\frac{17}{3}[/tex] = b

[tex]-2\pi[/tex] = a

Answer:

Given below in the picture

I hope my answer helps you.

Put the following equation in slope-intercept form:
y=1/5x + b

Answers

Answer: y=1/5x + b

Step-by-step explanation:

The slope intercept for the equation is y=mx +b

Your equation is already in the slope-intercept form!

DETERMINE WHICH ORDERED PAIRS ARE SOLUTIONS TO THE LINEAR INEQUALITY: 2x - 3y < 15


1: ( 2 , 5 )

2: ( -1 , -7 )

3: ( 3 , -4 )

4: ( 0 , 0 )

Answers

The two ordered pairs that are solutions of the inequality are:

( 2 , 5 ) and  ( 0 , 0 )

Which ordered pairs are solutions of the inequality?

Here we have the linear inequality:

2x - 3y < 15

To check which ordered pairs are solutions, we just need to evaluate these points on the inequality and see if it becomes true or not.

For example, with the first pair (2, 5) we will get:

2*2 - 3*5 < 15

4 - 15 < 15

-11 < 15

This is true, so (2, 5) is a solution.

The other solution is the fourth option (0, 0), so we get:

2*0 - 3*0 < 15

0 < 15

(0, 0) is also a solution.

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a restaurant wants to gather data about a new dish by giving out free samples and asking for feedback. who should the restaurant give samples to? 1 point all diners diners who are willing to pay for the samples 80% of diners diners who spend the most money on their meal Write a linear function f with f (0)7 and f(3) = 1.f(x) = My meage to Beatty world about cenorhip i to not be one of thoe people who happily let the government control them and their life try to be unique a poible without the book and don't ee the fire a bright and clean the government could be uing that a one of the wav to control it' ociety and Beatty hould take lead to try and get many people in ociety to be unique depite the government. It eem a the ociety i eaily corrupted by ignorance and cenorhip and he hould take a different route and bring a many people with her to ignore it Evaluate this expression when c = -2 and d = 2:(c^2+d^2) -2 (c^2-d^2)A. 0 B. 8 C. -8 D. 16 These are used for balance and pushing in skiing.A. polesB. ski bootC. skisD. bindings The common currency that was initially adopted by eleven member states of the European Union is thea. continental.b. euro.c. maastricht.d. francmark.e. freipence. Which branch of the US military was critical to winning the Battle of Iwo Jima?the US Armythe US Navythe US Air Forcethe US Marine Corps GIveing 100 points!!!!!!!!! if a car engine has a thermal efficiency of 50% and it does 500 j of work in one cycle, how much energy input does it require each cycle? which exspression shows 50+30 written as a product of two ffactors How much energy does a wave with a frequency of 3.78 x 1010 Hz have? what did michael rutter find in the study of the association between family adversity and externalizing disorders? group of answer choices there was no association between family problems and externalizing disorders there were no externalizing problems if there were no family problems the presence of two adversity factors was associated with a much higher rate of externalizing disorders the presence of one adversity factor was associated with a much higher rate of externalizing disorders [tex]-16x^{\frac{-3}{2}[/tex] What is the range of the function f(x) = -2(x+1)-2, when the domain is {-5, 0, 5}?A {-5,0,5}B {-11,-1,9}C {-14,-4,6}D {-10, 0, 10} based on the information in this animation, select the organisms that would utilize this ormonal pathway more often.a. kangaroo rat which inhabits the arid regions of western North America b. river otters in northern North America c. the Dromedary camel of the Middle East d. the manatee from the Caribbean a.they have too many possibilities for how they will spend their time b.they will miss their coworkers and the routine of going to work c.they are worried about their finances d.they do not have as close of a relationship with others outside of their work hi if someone wouldnt mind doing this that would be great!!! 100 points im just desperate i need a whole bunch of stuff done tomorrow, thank you! :) A nucleotide deletion early in the coding sequence of a gene would most likely result in __________. Write asystem of equations with the solution (4, -3). Which type of stimulus will maximally activate the sensory receptors within the semicircular ducts?.