A circle has a diameter with endpoints (-7, 1) and (-3, 7).

What is the equation of the circle?

r2 = ( x - 3) 2 + ( y + 4) 2
r2 = ( x + 3) 2 + ( y - 4) 2
r2 = ( x + 5) 2 + ( y - 4) 2
r2 = ( x - 5) 2 + ( y + 4) 2

Answers

Answer 1

Answer: (C) r² = (x+5)²+(y-4)²

Solution:-

The given endpoints are (-7,1) and (-3,7)

so the center will be at the mid point of the line connecting these two points.

hence, center ={ (-7+-3)/2, (1+7)/2 }

hence, C= (-5,4)

so, the equation of the circle is:-

⇒ (x-(-5))²+(y-4)²=r²

or, (x+5)²+(y-4)²=r²


Related Questions

the number of sides of regular polygon if the measure of its interior angle is 150 degree​

Answers

Answer:

12 sides

Explanation:

[tex]\sf interior \ angle = \dfrac{(n-2) \times 180}{n} \quad (where \ n \ denotes\ number \ of \ sides)[/tex]

Solving Steps:

[tex]\sf \dfrac{(n-2) \times 180}{n} = 150[/tex]

[tex]\sf (n-2) \times 180} = 150n[/tex]

[tex]\sf 180n-360 = 150n[/tex]

[tex]\sf 180n-150n = 360[/tex]

[tex]\sf 30n = 360[/tex]

[tex]\sf n = 12[/tex]


A sum of money is divided among three girls, Rheanna, Kerisha and Anne, in the ratio 2:3:7, respectively. If Anne gets $15
more than Kerisha, what is the value of the total sum that was shared?

Answers

Using proportions, it is found that the value of the total sum that was shared was of $45.

What is a proportion?

A proportion is a fraction of a total amount, and the measures are related using a rule of three.

Considering the rates, Anne's and Kerisha's proportions, out of the total value N, are given by:

[tex]A = \frac{7}{2 + 3 + 7}N = \frac{7N}{12}[/tex][tex]K = \frac{3}{2 + 3 + 7}N = \frac{3N}{12}[/tex]

The difference is of $15, hence:

[tex]A - K = 15[/tex]

[tex]\frac{7N}{12} - \frac{3N}{12} = 15[/tex]

[tex]\frac{4N}{12} = 15[/tex]

[tex]\frac{N}{3} = 15[/tex]

N = 15 x 3 = 45

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3.5 decimals to mixed numbers

Answers

1 2/3
It’s one and two thirds written out

Given parallelogram ABCD and AB || CD, if mAB = -5 then mCD must be:
A)-5
B)
- 1
——
5

C) 5

D) 1

5

Answers

The slope of CD, which is parallel to AB must be: A. -5.

What is the Slope of Parallel Segments?

If two line segments are parallel to each other, their slope value (m) would be equal to each other.

Side AB and CD in the parallelogram are parallel segments, therefore, their slope (m) would be the same.

Slope (m) of AB = -5, therefore, the slope of CD must be: A. -5.

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the area of square ABCD is 10cm2 show that x^2+6x=a where a is a constant to be found

Answers

The value of a is 1 if the area of square ABCD is 10 cm² showing that x²+6x=a where a is a constant.

What is the area of the rectangle?

It is defined as the area occupied by the rectangle in two-dimensional planner geometry.

The area of a rectangle can be calculated using the following formula:

Rectangle area = length x width

The question is incomplete.

The question is:

The area of square ABCD is 10 cm² showing that x²+6x=a where a is a constant to be found.

The missing figure is attached; please refer to the picture.

As we can see in the figure we have given a rectangle.

Area of rectangle = (3 + x)(3 + x)

10 = (3 + x)(3 + x)

or

10 = (3 + x)²

10 = 9 + 6x + x²

After rearranging:

x² + 6x = 1

We have equation:

x² + 6x = a

After comparing:

a = 1

Thus, the value of a is 1 if the area of square ABCD is 10 cm² showing that x²+6x=a where a is a constant.

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Write the equation of the line that passes through the points (8,-1) and (2,-5) in standard form, given that the point-slope form is y+1=3/3(x-8)

Answers

The equation of the line that passes through the points (8,-1) and (2,-5) is 2x - 3y = 19.

The given coordinate are (8, -1) and (2, -5).

What is the slope of an equation?

In mathematics, the slope or gradient of a line is a number that describes both the direction and the steepness of the line.

The slope of the equation is [tex]m=\frac{y_{2}-y_{1} }{x_{2}-x_{1}}[/tex].

The standard form of an equation is Ax + By = C.

The given the point-slope form is [tex]y+1=\frac{2}{3} (x-8)[/tex].

Multiply each term by 3 of the equation.

[tex](y+1) \times3=\frac{2}{3} (x-8) \times3[/tex]

⇒3y + 3 = 2x - 16

Subtract 2x from both sides of a equation.

That is, -2x + 3y + 3 = - 16

Subtract 3 from both sides of a equation.

That is, -2x + 3y = - 19

Multiply each term by - 1 from both sides of an equation.

That is, 2x - 3y = 19

Therefore, the equation of the line that passes through the points (8,-1) and (2,-5) is 2x - 3y = 19.

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Identify the method that will be used to solve for x for each equation.
4x = 20
x 119
5x + 6x = 22
5(x - 2) = 30

Answers

The solution of the equation 4x = 20, x – 11 = 9, 5x + 6x = 22, and 5(x – 2) = 30 will be 5, 20, 2, and 8.

What is the solution of the equation?

The solution of the equation means the value of the unknown or variable.

The equations are given below.

4x = 20

 x = 5

x – 11 = 9

      x = 20

5x + 6x = 22

       11x = 22

         x = 2

5(x – 2) = 30

   x – 2 = 6

         x = 8

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red was rotated to form blue
describe the rotation

Answers

Red was rotated to form blue as the figure was turned in different directions.

What is rotation?

A rotation simply means a transformation that turns a figure about a fixed point called the center of rotation.

An object and its rotation are simply the same shape and size, but the figures may be turned in different directions. In this case, red was rotated to form blue.

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For any positive numbers a, b, and d, with b 1,


A.
logb a logb d

B.
logb a + logb d

C.
d logb a
done

D.
logb a - logb d

Answers

Answer:

D

Step-by-step explanation:

using the rule of logarithms

log x - log y ⇔ log ( [tex]\frac{x}{y}[/tex] )

then

[tex]log_{b}[/tex] ( [tex]\frac{a}{d}[/tex] ) = [tex]log_{b}[/tex] a - [tex]log_{b}[/tex] d

f(x) = 4x² + 7x-3
g(x) = 6x³ – 7x² - 5
-
Find (f + g)(x).

Answers

Answer:

(f + g)(x) = 6x³ - 3x² + 7x - 8  

Step-by-step explanation:

Another way of writing (f + g)(x) is f(x) + g(x). So, this question is asking you to combine both of the functions.

f(x) + g(x)                                          

(4x² + 7x - 3) + (6x³ - 7x² - 5)                      <----- Insert functions

-3x² + 7x - 3 + 6x³ - 5                                 <----- Combine 4x² and -7x²

-3x² + 7x - 8 + 6x³                                       <----- Combine -3 and -5

6x³ - 3x² + 7x - 8                                       <----- Rearrange

What is the point-slope form of a line that has a slope of 3 and passes through point (1, 4)?

Answers

Answer:

(A). y - 4 = 3 ( x - 1 )

Step-by-step explanation:

Slope "m" and ( [tex]x_{1}[/tex] , [tex]y_{1}[/tex] ) ⇒

Slope-point form of linear equation is y - [tex]y_{1}[/tex] = m( x - [tex]x_{1}[/tex] )

~~~~~~~~~~~~~

m = 3 and point with coordinates ( 1 , 4 )

y - 4 = 3 ( x - 1 )

_______________ is the value of the best alternative given up when a choice is made.

Answers

Opportunity Cost

Please hit the thanks button :)

N
O O
What is the slope of the line represented by the equation y = --- 5x?
0-5
4 ~/m ~/m
+
O 5
O

Answers

Yup that’s it ^jjjjjjjjjjkkkkkkk

A response variable, Price, is defined as the selling price of a used car. Three predictor variables include, Age, the age of the car in years, Mileage, the mileage of the car in thousands of miles, and Cylinders, the number of engine cylinders. The estimated regression equation is: Price

Answers

The estimated regression equation is Price = bo +b1Age+ b2Mileage + b3Cylinders

How to determine the regression equation?

We have:

Predictor variables = 3Variable 1 = AgeVariable 2 = MileageVariable 3 = Cylinders

The regression equation is estimated using:

Price = bo +b1 * Variable 1+ b2 * Variable 2 + b3 * Variable 3

Substitute the variable parameters

Price = bo +b1Age+ b2Mileage + b3Cylinders

Hence, the estimated regression equation is Price = bo +b1Age+ b2Mileage + b3Cylinders

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2(2x – 1) + 7 < 13 or –2x + 5≤-10

Answers

Answer:

2, 7.5

Step-by-step explanation:

2(2x - 1) + 7 < 13

4x - 2 + 7 < 1

4x + 5 < 13

4x < 8

x < 2

-2x + 5 ≤ -10

-2x ≤ -10 - 5

-2x ≤ -15

x ≤ -15 / -2

x ≤ 7.5

(This is an Edge question)

Question:
Which expression is equivalent to negative 3 minus 3 times a number minus 1 plus a number.
[tex] - 3 - 3x - 1 + x[/tex]


Answer Choices:
A.
[tex]2x - 4[/tex]

B.
[tex] - 2x + 4[/tex]

C.
[tex] - 2x - 4[/tex]

D.
[tex]4 - 2x[/tex]


I will verify the answer and give Brainlyest for fastest and most accurate answer and 15 pts.

Answers

Answer:

The answer is C. -2x -4

Step-by-step explanation:

Your given information.

-3 - 3x - 1 + x

Combine and simplify common numbers/variables.

(-3x + x) + (-3 - 1)

-2x - 4

La siguiente operación 147.3 = 441 es una:
División b- Sustracción c- Multiplicación
plis necesito la respuesta ahora dare estrellas lo juro

Answers

La operación que representa 147.3 = 441 es dada por una multiplicación, por eso opción c es correcta.

¿Qué operación está representada por 147 . 3 = 441?

El resultado del producto entre 147 y 3 es de 441, por lo que se hace una operación de multiplicación.

Así, hay que la opción c es correcta.

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Zippy company manufactured 10,000 units in december with a total product cost of $22,900 they had zero finished goods inventory at the start of december. in december zippy sold 7,796 units at a unit price of $5.54. period expenses were $4,723. what is the amount of zippy's gross profit (otherwise know as gross margin).? round any intermediate calculations to four decimal places

Answers

The amount of zippy's gross profit (otherwise know as gross margin) is: $25,337.

Gross profit

Sales revenue $43,189.84

(7,796 units × $5.54)

Less Cost of goods sold $17,852.84

[($22,900/10,000)×7,796]

Gross profit $25,337

( $43,189.84-$17,852.84)

Therefore the amount of zippy's gross profit (otherwise know as gross margin) is: $25,337.

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what is the answr to -5(b + 1) = 8

Answers

[tex] - 5(b + 1) = 8 \\ - 5b - 5 = 8 \\ - 5b = 8 + 5 \\ - 5b = 13 \\ b = \frac{ - 13}{5} [/tex]

PLEASE GIVE BRAINLIEST

\\\///\\\///\\\///\\\///\\\///\\\///\\///\\\///\\\///\\\///\\\///\\\//\\//\\//\\//\\\///\\//\\\///\\\///\\\///\

                                      [tex]\Rsh[/tex] Hey! [tex]\Lsh[/tex]

[tex]\Rsh[/tex]Let's solve this! We can do this! [tex]\Lsh[/tex]

>>> First, let's multiply -5 by b and 1. Then we obtain

[tex]\pmb{-5b-5=8}[/tex].

>>> Now we add 5 to both sides.

[tex]\pmb{-5b=13}[/tex]

>>> And then, divide both sides by -5.

[tex]\pmb{b=-\dfrac{13}{5}}[/tex]

>>> That is the value of b.

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Hope the answer - and explanation - assisted you!

Happy studies! :)

3.)3 * (2x - 6)
4.)2x * (5x + 11)

Answers

3) [tex]3(2x-6)=\boxed{6x-18}[/tex]

4) [tex]2x(5x+11)=10x^{2}+22x[/tex]

suppose your household income increased to $2,000.00 and your energy bill came from $180.00 how many percent of your household income is being spent on electricity​?​

Answers

hi brainly user! ૮₍ ˃ ⤙ ˂ ₎ა

⊱┈────────────────────────┈⊰

[tex]\large \bold {ANSWER}[/tex]

[tex]\implies \boxed{\underline{\huge{\tt{\orange{\: \: 9\% \: \: }}}}}[/tex]

9% of the family income is being spent to pay the energy bill.

[tex]\large \bold {SOLUTION}[/tex]

HOW TO FIND OUT THE PERCENTAGE?

If your income is now $2,000.00 and you have withdrawn $180.00 from the value, then we say that the $2,000.00 is equivalent to 100% of the value, that is, the total amount. And the amount that was withdrawn will be X because we still don't know how much percent is equivalent to $ 180.00 of this value.

To solve, we will use the simple rule of three like this:

[tex]\frac{2000}{180} = \frac{100}{x}[/tex]

With this we will multiply the denominator of one with the numerator of the other, being:

2000 * X and 180 * 100Where: 2000 * x is equal to 2000xAnd 180 * 100 is equal to 18,000

Knowing this, we will solve it this way:

2000x = 18,000

To start we will isolate the unknown(x) from the values taking the 2000 to the other side of the equality turning it into the denominator of 18,000.

[tex]x = \frac{18000}{2000}[/tex]

And to finish, we cut the 3 zeros of the numerator with the d 3 zeros of the denominator getting 18 / 2. Now it's just dividing.

[tex]\begin{gathered}x = \frac{18}{2} \\ \\ x = 9\end{gathered}[/tex]

We can conclude that the amount spent to pay the energy bill is equivalent to 9% of the family income.

5(b)
Joe has a bucket containing 1370cm³ of water measured to the nearest 10 cm³.
Joe Says
"If I tip my bucket of water in the cuboid container, it will never overflow"
Is Joe correct?
You must explain your answer

Answers

If the side length is greater than 11.11 cm then it will not overflow.

Otherwise, it will overflow.

If Joe tips the bucket of water in a cuboid container and the water is not overflowing then the cuboid container must be of volume greater than 1370 cm³.

We find the cube root of 1370 cm³.

[tex]\sqrt[3]{1370} \approx11.11[/tex]

Then the cuboid container should have a side of length greater than 11.11 cm.

Here the statement  "If I tip my bucket of water in the cuboid container, it will never overflow" is correct or wrong based on the information that the container has a side length lesser or greater than 11.11 cm.

If the side length is greater than 11.11 cm then it will not overflow.

Otherwise, it will overflow.

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I need help please :3

Answers

Answer:

32ounces

Step-by-step explanation:

24/3=8pounds

8pounds=8x16=128ounces

but each 8 pounds is split into quarters so

8/4=2pounds=32ounces

32 ounces

24 divided by 3 is 8,
8 divided by 4 is 2,
So 2 times 16 is 32 ounces

If = 12 –3 a,find the value ofxwhen a= 8

Answers

Answer:

-12

Step-by-step explanation:

x = 12-3a

When a=8:

x = 12-3(8)

x = 12 - 24

x = -12

Which inequality represents all the solutions of
9(4x-8) < 4(6x + 9)?

Answers

Answer:

x < 9

Step-by-step explanation:

Our original inequality:

[tex]9(4x-8) < 4(6x+9)[/tex]

Firstly, let's expand the brackets on both sides:

[tex]36x - 72 < 24x + 36[/tex]

Now, we add the 72 over to isolate the [tex]x[/tex]:

[tex]36x < 24x + 108[/tex]

Next, we take away the [tex]24x[/tex] to isolate the [tex]x[/tex]:

[tex]12x < 108[/tex]

Finally, we divide both sides by 12 to convert the [tex]12x[/tex] to [tex]x[/tex]:

[tex]x < 9[/tex]

This means our final answer is [tex]x < 9[/tex].

The table below shows the earnings, in thousands of dollars, for three different commissioned employees.

Who had the largest dollar amount in sales for the month of December?
a.
The salary plus commission employee.
b.
The straight commission employee.
c.
The graduated commission employee.
d.
They each had the same dollar amount in sales.

Answers

The answer to the person with the largest dollar sales in December is d. They each had the same dollar amount in sales.

What were the sales amounts in December?

The sales of the salary + commission employee is:

= (4,400 - 2,000) / 3%
= $80,000

The sales of the straight commission employee is:

= 5,600 / 7%

= $80,000

The sales of the graduated commission employee is:

The amount earned on the first $40,000 is:

= 5% x 40,000

= $2,000

The rest of the sales is therefore:

= (5,200 - 2,000) / 8%

= $40,000

The total sales for this employee is:

= 40,000 for 5% commission + 40,000 for 8%

= $80,000

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cotpheta•sin2pheta=

1+cos2pheta
1+cospheta
1+sin2pheta ​

Answers

Answer:

Step-by-step explanation:

Did you mean.

[tex] = \cot( \theta) . \sin(2 \theta) [/tex]

[tex] = \frac{ \cos( \theta) }{ \sin( \theta) } .(2 \sin( \theta) \cos( \theta) )[/tex]

[tex] = \frac{2 \sin( \theta) \cos {}^{2} ( \theta) }{ \sin( \theta) } [/tex]

[tex] = 2 \cos {}^{2} ( \theta) [/tex]

[tex] = 2.(1 - \sin {}^{2} ( \theta) )[/tex]

[tex] = 2 - 2 \sin {}^{2} ( \theta) [/tex]

No option Solution.

Find the vertex and focus of the
parabola:
x² + 14x-8y + 65 = 0

I can’t figure this out!!!

Answers

Answer:

[tex]\boxed {Vertex = (-7, 2)}\\\boxed {Focus = (0, \frac{49}{8})}[/tex]

Step-by-step explanation:

Completing the square :

x² + 14x - 8y + 65 = 0

x² + 14x + 49 - 49 - 8y + 65 = 0

(x + 7)² - 8y + 16

(x + 7)² = 8y - 16

⇒ x = -7, y = 2 (Vertex)

Finding a :

⇒ x² = 4ay

⇒ (-7)² = 4(2)a

⇒ a = 49/8

Finding the focus :

⇒ (0, a)

⇒ (0, 49/8) (Focus)

John has 48 square centimeter tiles he wants to use to create a mosaic. He wants the mosaic to be rectangular with a length that is 2 centimeters longer than the width.

Which equation could John solve to find w, the greatest width in centimeters he can use for the mosaic?

w(w – 2) = 48
w(w + 2) = 48
2w(w – 2) = 48
2w(w + 2) = 48

Answers

The equation that could John solve to find w, the greatest width in centimeters he can use for the mosaic is option B: w(w + 2) = 48.

What is a system of equations?

A system of equations is two or more equations that can be solved to get a unique solution. the power of the equation must be in one degree.

The mosaic to be formed is rectangular in shape.

Area of a rectangle = length x width

The length is longer than the width by 2,

So, length = w+2

Area of a rectangle = (w+2) x w

The correct equation is B: w(w + 2) = 48

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Answer: B

Step-by-step explanation:

Please help!!!!
A triangular patch of grass in a park is bordered by walking paths. The longest path bordering the patch of grass measures 135 feet. The smallest path bordering the patch of grass measures 60 feet. The smallest angle formed by the paths measures 26°. What is the measure of the largest angle of the triangular patch of grass? Round your answer to the nearest degree. Show all your work.

Answers

The measure of the largest angle of the triangular patch of grass is 81 degrees

Application of sine rule

In order to determine the measure of the largest angle, we will use the expression below;

[tex]\frac{60}{sin26^0} =\frac{135}{sinx^0}[/tex]

Cross multiply

135sin26 = 60sinx

sinx = 135sin26/60

sinx = 59.18/60
sinx = 0.986

x = 80.5 degrees

Hence the measure of the largest angle of the triangular patch of grass is 81 degrees

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SWhich triangle is similar to ABC if sin(A) = cos(A)=15, and tan(A)=1R51213TD312f315O2K15.MO3L6 NX615NO246 The first term of an arithmetic sequence is 1 and the sum of the first four terms is 100. Find the first four terms Predicate Logic The following is a snippet of pseudocode designed to produce an array (similar to a matrix). The variables m and n are integer variables and the variable A is a two-dimensional array with 10 rows (indexed from 1 to 10) and 8 columns (indexed from 1 to 8). \array.pas\ For m:=1to * 10do For n:=1to * 8do forall m bullet forall n bullet A[m, n]in mathbb Z . (d) The entries in each row of the array A are sorted into strictly decreasing order. You will also be asked to decide whether each statement is True or False. For example, the above statement is True. As an example, the statement "All entries in the array A are integers." can be expressed as (e) Some of the entries of the array A are greater than 30. (b) All entries in the array A are positive and less than 70. 1. Express each of the statements below in predicate logic. (a) All entries in the array A are positive. In the code above, A[m.n] refers to the entry in row m and column n Your task is to express the various statements bel Question: Should We Keep Animals in Zoos?Take time your time, and think about it, I dont want any correct answer, just your opinion.And give your opinion dont give any evidence from the text, just answer what you think is the answer Yes or no, and the reason. What is one similarity among the ways minority groups, such as Hispanics, American Indians, gays, lesbians, the elderly, and Asian-Americans gained their civil rights?-They used the tactics of the civil rights movement to seek their own rights and protection in the 1960s and '70s.-The United States Supreme Court declared them ineligible to sue the federal government.-They gained equal rights and opportunities in the decades before the civil rights movement.-They were active with African Americans in the civil rights movement of the 1950s. Judge ford discovers that grace wexler is related to another heir. who is it? the westing game Write functions for each of the following transformations using function notation. Choose a different letter torepresent each function. For example, you can use R to represent rotations. Assume that a positive rotation occurs inthe counterclockwise direction. translation of a units to the right and b units upreflection across the y-axis reflection across the x-axis rotation of 90 degrees counterclockwise about the origin, point O rotation of 180 degrees counterclockwise about the origin, point O rotation of 270 degrees counterclockwise about the origin, point O Which of the following is NOT a recommended response to aggression in the heat of the moment?A. Recognize the emotions that are involved in the situation.B. Focus on the victim of the aggression first.C. Respond with body language and tone of voice that is threatening and serious.D. Attempt to talk to both parties intmediately to resolve the conflict. Mr. Harry had 4 daughters, each daughter had a brother. How many Children does Mr. Harry have? Given the following equation of a circle in general form, find the equation in standard form by completing the square.4x + 8x + 4y + 32y +52 = 0Provide your answer below: 2. where does the speaker take the child in windigo Carta de opinin de Irma Chvez Which of the following is a double replacement reaction? K2S + CoCI2 -> 2KCI + CoSCa + 2H2O -> Ca (OH)2 + H2CaO + H2O -> Ca(OH)2 2KCIO3 -> 2KCI + 3O2 You hide three worksheets in a workbook and need to unhide them. What is an accurate statement about this process? What is 0.000345 expressed in scientific notation?3.45 1023.45 1043.45 1023.45 104 A bag contains Red, Green or Yellow balls. A ball is taken at random from the bag. The probability that it is Red is 0.4 and the probability that it is Green is 0.375.What is the possible number of balls in the bag? How did poverty in England change Jamestown? o It caused people in Jamestown to go back to England to help spark the economy. It kept the colony from prospering without help from England. O It created an oversupply of tobacco because people in England stopped buying it. O It led many English people to seek better lives in America. which assessment provides the best information about possible fetal distress? Which anaesthetic has a STRONG ANALGESIC effect? Honey bees beat their wings, making a buzzing sound at a frequency of 2.3 102 hertz. What is the period of a bee's wing beat?