which equation represents a circle with a center at (-3,5) and a radius of 6 units

Answers

Answer 1

Answer:

(x+3)^2 +(y-5)^2 = 36

Step-by-step explanation:

We can write the equation of a circle as

(x-h)^2 +(y-k)^2 = r^2  where (h,k) is the center and r is the radius

(x- -3)^2 +(y-5)^2 = 6^2  

(x+3)^2 +(y-5)^2 = 36


Related Questions

After leaving camp for a three-day journey into the frozen tundra, Daniela has just returned to camp. The
three days of her journey can be described by displacement (distance and direction) vectors d , d), and dz.
where each vector indicates Daniela's displacement from the start of her day to the end of her day.
di = 8i +3
d, is not given
az = i +47
(Distances are given in kilometers, km.)
What distance did Daniela travel on day two?
kilometers
(Round your final answer to the nearest tenth.)
In what direction did Daniela travel on day two? Assume 0° is the rightward direction.
(Round your final answer to the nearest degree. Your answer should be between 0 and 360°.)

Answers

Answer:

  a) 8.7 km

  b) 187.6°

Step-by-step explanation:

Given

Travel vectors (distance)∠(direction) ...

d₁ = 8∠3°d₂ = unknownd₃ = 1∠47°total travel was a round trip

Find

(Rounded to the nearest tenth ...)

  a) |d₂|

  b) ∠d₂

Solution

In order for the sum of the three travel vectors to represent a round trip, their sum must be zero. That is, the value of d₂ must be the opposite of the sum of the other two vectors. A vector calculator can find the desired value easily. Here, we will show the calculation using the law of cosines and the law of sines.

__

a) A diagram can be helpful. Since we want to find the opposite of the sum of the given vectors, we can start by drawing their sum. In our diagram, d₁ is segment AB, and d₃ is segment BC. Their sum is the segment AC.

The internal angle ABC is the supplement of the difference of the angles for d₁ and d₃, so is 180° -(47° -3°) = 136°. Then the law of cosines gives length AC as ...

  AC² = AB² +BC² -2AB·BC·cos(B)

  AC² = 8² +1² -2·8·1·cos(136°) = 65 -16cos(136°) ≈ 76.5094

  AC ≈ √76.5094 ≈ 8.747

The distance traveled on day 2 is about 8.7 km.

__

b) Given the side lengths of a triangle and one angle, the law of sines can be used to find the other angles. Here, it is convenient to find the internal angle at A. The law of sines tells us ...

  sin(A)/BC = sin(B)/AC

  sin(A) = BC/AC·sin(B)

  A = arcsin(BC/AC·sin(B)) = arcsin(1/8.747·sin(136°)) ≈ 4.555°

The direction angle from C to A will be the sum of the 3° direction angle of AB and the internal triangle angle A we just found, added to 180°. That sum is ...

  ∠CA = 180° +3° +4.6° = 187.6°

  ∠d₂ = 187.6°

Answer:

Distance traveled 8.6 kilometers on day two

Daniela traveled in a direcrion of 234degrees on day two

Step-by-step explanation:

I had the same exact question and found the answers after having it incorrect

Amir stands on a balcony and throws a ball to his dog, who is at ground level. The ball's height (in meters above the ground), x seconds after Amir threw it, is modeled by h(x)=-(x+1)(x-7), left parenthesis, x, right parenthesis, equals, minus, left parenthesis, x, plus, 1, right parenthesis, left parenthesis, x, minus, 7, right parenthesis How many seconds after being thrown will the ball reach its maximum height?

Answers

When we graph the function, it has a vertex of (3, 16).

The maximum of the graph is the highest "x" value on the graph which is 3.

Since the maximum is 3, it will take 3 seconds for the ball to reach its maximum height.

A graph will be shown below showing the function and vertex.

Best of Luck!

Answer:

3 seconds

Step-by-step explanation:

We need to find where the maximum i.  The maximum or minimum  is at the vertex.  We know where the zero are because the equation is written in the zero form

We know the vertex is 1/2 way between the zeros

h(x)=-(x+1)(x-7)

Using the zero product property

x+1 = 0  x-7 =0

The zeros are at -1 and 7

Adding the two together and dividing by 2

(-1+7)/2 = 6/2 =3

The maximum is at 3.  We know it is the maximum because the equation is pointing down because of the negative out front.

In your lab, a substance's temperature has been observed to follow the function T(x) = (x − 4)3 + 6. The turning point of the graph is where the substance changes from a liquid to a gas. Using complete sentences in your written answer, explain to your fellow scientists how to find the turning point of this function. Hint: The turning point of the graph is similar to the vertex of a quadratic function.

Answers

Answer:Look below

Step-by-step explanation:

f(x) = x^3

g(x) = f(x-4) which shifts f(x) 4 units to the right

g(x) = (x-4)^3

h(x) = g(x) + 6 shift g(x) 6 units up

h(x) = (x-4)^3 + 6

The turning point of f(x) is at (0,0),  then shift  4 units to the right and 6 units up, I got (4,6)

A DVD has a diameter of 34 centimeters. What is the area of the DVD? Round your answer to the nearest
hundredth. Use 3.14 for it.
The area of the DVD is about
cm

Answers

Answer:

907.46cm

Step-by-step explanation:

Area of Cirlce = πr^2

R= 17

R^2= 289

289 x 3.14 = 907.46

907.46cm

Answer:

Area of the circle = [tex]907.46\;cm^2[/tex]

Step-by-step explanation:

Diameter of the DVD = [tex]34\;cm[/tex]

[tex]Radius=\dfrac{34}{2}=17\;cm[/tex]

Area of the circle= [tex]\pi \times r^2[/tex]

      As,

         [tex]\pi =\dfrac{22}{7}=3.14[/tex]

Area is:

      [tex]=3.14\times 17\times 17\\\\=3.14\times 289\\\\=907.46\;cm^2[/tex]

Area of the circle is: [tex]907.46\;cm^2[/tex]

Write in equation that represents the line

Answers

Answer:

y = 6/5x -5

Step-by-step explanation:

Using the slope formula,

you can find the slope

or just divide the amount of units up by

the amount of units right.

Then find the y intercept which is (0,5)

Answer:

y = [tex]\frac{6}{5}[/tex]x -5

Step-by-step explanation:

Whenever we have a line such as this one, (A linear or straight line) we can write an equation with the form y = mx + b

m is the slope

b is the y-intercept

To calculate slope or "m" we see how many times the point goes up, and how many times it goes to the right, and then put it in a fraction.

(Units it goes up) / (Units it goes to the right)

The y-intercept is what number the line intersects on the y-axis.

On this line it intersects at the -5 point.

So the equation when you put in the values is y = [tex]\frac{6}{5}[/tex]x -5

Write the equation of the line that goes through the point (-5,3) and has a slope of -2

Answers

Answer:y=-2x+3

Step-by-step explanation:

the 3 is the y coordinate

the slope is -2

a gain of 180 feet is what?

Answers

Answer:

+180

Step-by-step explanation:

Which of the following polynomials is a difference of squares? *
10 points
x^2+16
x^2+6x+9
x^2+5x+4
x^2-9

Answers

Answer:

x² - 9

Step-by-step explanation:

A difference of squares has the form

a² - b²

Thus

x² - 9

= x² - 3² ← is a difference of squares

Which binomials are a difference of squares?

Choose exactly two correct answers.


y4 + 9


9x2 – 16


m6 – 25


p7 – 1

Answers

Final answer:

The binomials that are a difference of squares are [tex]9x^2 - 16[/tex] and [tex]m^6 - 25[/tex], as both can be factored into the form (a + b)(a - b).

Explanation:

The question asks which binomials are a difference of squares. A difference of squares is a binomial in the form [tex]a^2 - b^2[/tex], which can be factored into (a + b)(a - b). Analyzing the given options:

[tex]y^4 + 9[/tex]: This is not a difference, it's a sum.

[tex]9x^2 - 16[/tex]: This is a difference of squares because [tex]9x^2 = (3x)^2[/tex] and 16 = [tex]4^2[/tex].

[tex]m^6 - 25[/tex]: This is a difference of squares because [tex]m^6 = (m3)^2[/tex] and [tex]25 = 5^2[/tex].

[tex]p^7 - 1[/tex]: This is not a difference of perfect squares; [tex]p^7[/tex] is not a perfect square.

Therefore, the binomials that are a difference of squares are [tex]9x^2 - 16[/tex] and [tex]m^6 - 25[/tex].

Points and their residual values are shown in the table. A 3-column table with 5 rows. The first column is labeled x with entries 1, 2, 3, 4, 5. The second column is labeled y with entries 2, 3.5, 5, 6.1, 8. The third column is labeled residual value with entries negative 0.4, 0.7, negative 0.2, negative 0.6. Which residual value is the farthest from the line of best fit?

Answers

Answer:

The residual value is the farthest from the line of best fit is 0.7.

Step-by-step explanation:

A simple linear regression line is given by,

[tex]\hat y = \alpha + \beta X + \hat e[/tex]

Here,

α = constant,

β = slope

e = residual.

The difference amid the observed value of the dependent variable (Y) and the predicted value (y) is known as the residual (e).  

The formula to compute the residual is,

[tex]\hat e=y-\hat y[/tex]

The information provided is:

x           y           e

1          2.0       -0.4

2         3.5         0.7

3         5.0        -0.2

4         6.1         -0.6

5         8.0         0.0

The residuals are the difference between the actual value and the predicted value.

They can also be defined as the distance between the line of best fit and the actual value of the dependent variable.

The data point that is the farthest from the line of best fit is, y = 3.5.

The residual value of y = 3.5 is 0.7.

In terms of units distance, this value of y is the farthest from the line of bet fit.

Thus, the residual value is the farthest from the line of best fit is 0.7.

What value of g makes the equation true?
(xt7)(x-4)=x2+gx-28

Answers

Answer:

g = 3

Step-by-step explanation:

If you distribute (x+7)(x-4) you get:

x²+3x-28

Compare it to the question:

x²+gx-28

and it becomes obvious that g = 3

The solution is, the value of g makes the equation true is, g = 3.

What is equation?

An equation is a  mathematical statement that is made up of two expressions connected by an equal sign.  In its simplest form in algebra, the definition of an equation is a mathematical statement that shows that two mathematical expressions are equal. For instance, 3x + 5 = 14 is an equation, in which 3x + 5 and 14 are two expressions separated by an 'equal' sign.

here, we have,

from the given information we get,

If you distribute (x+7)(x-4) you get:

x²+3x-28

Compare it to the question:

x²+gx-28

and it becomes obvious that g = 3

Hence, The solution is, the value of g makes the equation true is, g = 3.

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Please helppppp
Consider the function f whose graph is shown above

Answers

Answer:

It is C. Just look at the farthest points, and those are the numbers in your inequality.

Final answer:

To analyze a function's graph, identify the domain and range, find the intercepts, assess whether the function is increasing or decreasing, and locate the extrema points.

Explanation:

Without the graph, I can't provide a specific analysis. However, I can guide you on how to analyze a function graph. A function graph can give specific details such as the function's domain and range, its intercepts, whether it's increasing or decreasing, and any extrema points (maxima or minima).

To find the domain, you need to identify which 'x' values are included on the graph. The range refers to the 'y' values covered by the graph. The intercepts are points where the graph crosses the 'x' axis (x-intercepts) and 'y' axis (y-intercepts).

By checking if the function is rising (increasing) or falling (decreasing), and spotting the highest and lowest points (maxima and minima), you can explore the behavior of the function.

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April has a sheet of paper that is 2 feet long. She cuts the length of paper into halves and then cuts the length of each of these 1/2 pieces into thirds. How many pieces does she have? How many inches long is each piece?

Answers

April has a total of 6 pieces of paper, with each piece being 4 inches long after she cuts the 2-foot paper into halves and then into thirds.

To solve this problem, we need to perform two cuts. The initial length of the paper is 2 feet. When April cuts the length of paper into halves, she now has two pieces each of 1 foot in length. Then, she cuts each of these halves into thirds. To find out how many pieces she has in total, we multiply 2 halves by 3, resulting in 6 pieces of paper in total.

To determine the length of each piece in inches, we start with the original measurement in feet. Since 1 foot is equivalent to 12 inches, we convert the 1-foot pieces to inches by multiplying by 12. Then, we divide by 3 to represent the three cuts that April makes:

1 foot = 12 inches

Each cut piece = 12 inches / 3

Each piece is 4 inches long.

Explain the relationship between a strategy, such as number sense, and a written method such as partial products or area models, for multiplying decimal numbers.

Answers

Final answer:

Number sense enhances a student's understanding of multiplication and helps them choose the most efficient written method. For example, 0.5 can be easily multiplied mentally, and this knowledge can be applied to written methods for multiplying decimals.

Explanation:

In mathematics, number sense refers to a person's understanding of numbers and their relationships. It involves the ability to perform mental calculations and estimate the magnitude of numbers. On the other hand, written methods such as partial products or area models are specific algorithms or procedures used to solve mathematical problems, including multiplying decimal numbers.

The relationship between number sense and written methods for multiplying decimal numbers is that number sense enhances a student's understanding of the concept of multiplication and helps them make connections between different strategies or methods. By developing number sense, students can choose the most efficient written method based on their understanding of the numbers involved and their relationships.

For example, if a student has a strong number sense, they may recognize the relationship between a decimal that can be easily multiplied mentally, such as 0.5, and other decimal numbers. They can then use this knowledge to apply a written method like area models or partial products to solve problems that involve multiplying decimals.

Can anyone answer this question for me?

Answers

Answer:

The answer is about 1.732, the exact form being [tex]\sqrt{3}[/tex].

Step-by-step explanation:

The square root of 12 is 3.4641. You then divide this by 2 and you get approximately 1.732. This in the exact form is [tex]\sqrt{3}[/tex].

A student uses 3.14 for π to calculate the approximate circumference of a circle, 150.72 meters. Given this, find the approximate area of the circle. Use 3.14 for π.

Answers

Answer:

area of a circle = 1808.64meters²

Step-by-step explanation:

given that ,

π = 3.14

circumference = 150.72meters

calculate the area of the circle.

to calculate the circumference of a circle

recall,

circumference of a circle = 2πr

circumference of a circle = 2 x 3.14 x r

circumference of a circle =  6.28r

150.72meteras = 6.28r

divide both sides by 6.26

150.72meters/6.28 = 6.28r/6.28

24meters = radius

radius = 24 meters

now to calculate the area of the circle

recall the formulae for finding the area of a circle is given to be = πr²

area of a circle = πr²

area of a circle = 3.14 x ( 24)²

area of a circle = 3.14 x 576meters²

area of a circle = 1808.64meters²

Please help solve this system of inequalities:

{2x-12>0
{3x<9

Thank you

Answers

Answer: 6,3

Step-by-step explanation: 3/3 and then 9/3=3 • 0+12=12, 12/2=6,

Please give brainliest

The system of inequalities consists of x > 6 and x < 3, which have no overlapping solution. No number can satisfy both conditions simultaneously; hence, there is no solution to the system.

To solve the given system of inequalities, let's solve each inequality separately:

For the first inequality 2x - 12 > 0, we add 12 to both sides to get:

2x > 12

Now, we divide both sides by 2:

x > 6

This inequality means that x must be greater than 6.

For the second inequality 3x < 9, we divide both sides by 3:

x < 3

This tells us that x must be less than 3.

If we look at both solutions, x > 6 and x < 3, there is no overlap between these two sets of numbers.

Therefore, there is no solution to the system, since no number can be both greater than 6 and less than 3 at the same time.

Six quarts of milk weigh 13 pounds .write three different proportions you could use to fin the weight of 10 quarts of milk

Answers

Answer:

1. 130/6

2. 65/3

3. 260/12

Step-by-step explanation:

The first thing is to calculate the weight of 10 quarts of milk, like this:

(13 pounds / 6 quarts) * 10 quarts = 130/6 pounds

The three fractions could be:

1. 130/6 pounds weigh 10 quarts of milk.

2. 65/3 pounds weigh 10 quarts of milk.

3. 260/12 pounds weigh 10 quarts of milk.

A package of balloons contains 5 green, 3 yellow, 4 red, and 8 pink balloons. Suppose you reach in the package and choose one balloon at random. What is the probability of choosing a PINK balloon?

Answers

Probability of choosing pink balloon is  [tex]\frac{2}{5}[/tex].

Step-by-step explanation:

Given,

Number of green balloons = 5

Number of yellow balloons = 3

Number of red balloons = 4

Number of pink balloons = 8

Total number of balloons = 5+3+4+8 = 20

To find the probability of pink balloon.

Formula

Probability of an even = number of outcomes ÷ total number of outcomes

So,

Probability of choosing pink balloon = [tex]\frac{8}{20}[/tex] = [tex]\frac{2}{5}[/tex]

There is a 40% chance of picking pink
(5+3+4+8=20) 8 balloons divided by 20 is 0.4. So there’s a 40% chance

Find the value of each expression.
2h – 4 + 5 if h = 8


Answers

Answer:

2 times 8 is 16. 16 minus 4 is 12 plus 5 is 17. answer is 17.

Step-by-step explanation:

since h=8

The steps of the value of the expression:

2(8)-4+5

16-4+5

12+5

17

5. Gina bought 8 bags of 32 animal
crackers and 8 bags of 48 animal
crackers. She says she bought
8 X (32 + 48) animal crackers in all.
Do you agree? Explain.

Answers

Answer:

Yes I agree, because 32 times 8 plus 48 times 8 equals 8x(32+48)

Step-by-step explanation:

How do you write twenty five increased by six in a numerical expression

Answers

Answer:

25 + 6 = 31

Step-by-step explanation:

First question: A groundskepper needs grass seed to cover a circular field, 380 feet in diameter. A store sells 50 pound bags of grass seed. One pound of grass seed covers about 400 square feet of field. What is the fewest number of bags the groundskeeper must buy to cover the circular field?
I WILL MARK BRAINLIEST WHOEVER ANSWERS FIRST AND IS ACCURATE!

Answers

Answer: 165 bags

Step-by-step explanation:

Please help —> What is the value of X?

Answers

I attached a picture with my answer


3. What is the volume of the figure?
A. 15 cm
B. 33 cm
C. 45 cm
D. 54 cm

Answers

The answer is a. 15cm

Answer:

a

Step-by-step explanation:

Un empleado recibe una comisión
equivalente a 5% de su salario, X. ¿Cuál
expresión representa el total de dinero que
recibirá el empleado?
4 1.5x
B 1.05x
C 0.5x
D 0.05x​

Answers

Answer:

B

Step-by-step explanation:

English translation:

An employee receives a commission  equivalent to 5% of your salary, X. What

expression represents the total money that  will receive the employee?

Solution:

We have to find the expression that gives us the total money of the employee. His total money is what he gets, the salary, PLUS the commissions.

His salary is "x"

and his commissions is 5% of his salary.

5% = 5/100 = 0.05

So,

Commissions = 0.05x

Total Money = Salary + Commission = x + 0.05x = 1.05x

Correct answer is B

what is the answer to this?

Answers

Answer:

s = -18

b is correct option

Step-by-step explanation:

[tex]\frac{4}{s} =\frac{-2}{9}[/tex]

By cross multiplication

4×9 = -2×s

0r

-2×s = 4×9

s = 36 ÷ -2

s = -18

I need help again lol....

A.) SSS Postulate


B.) ASA Postulate


C.) AAS Theorem


D.) SAS Postulate

Answers

Answer: C) AAS Theorem

Check out the diagram below. Note how for the left triangle, the side ZW is not between the marked angles V and W. So we do not use ASA and instead go with AAS. The order matters. If for instance, we knew that VW = WY, then we would go with ASA.

What does 15x represent in this equation?

Answers

Answer:

I believe the answer is A

What is the solution set of {x | x > -5} u {x | x < 5}?

A) all numbers except -5 and 5
B) the numbers between -5 and 5
C) the empty set
D) all real numbers

Answers

Answer:

The answer is D

Step-by-step explanation:

The solution set of {x | x > -5} u {x | x < 5} is given by all real numbers. so option D is correct.

What is a solution set to an inequality or an equation?

If the equation or inequality contains variable terms, then there might be some values of those variables for which that equation or inequality might be true. Such values are called solutions to that equation or inequality. A set of such values is called a solution set to the considered equation or inequality.

We need to find the solution set of the following inequalities:

A set of {x | x > -5} u {x | x < 5} has the solution of all values of x greater than -5.

The solution is all values of x greater than -5.

This is the union of both the inequalities, therefore all the real numbers will justify the inequalities.

Then, the solution set of {x | x > -5} u {x | x < 5} is given by all real numbers. so option D is correct.

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