Find the coordinates of the circumcenter of the triangle with the vertices A (4, 12), B (14, 6), and C (-6, 2)

Answers

Answer 1

Answer:

Step-by-step explanation:

Determine the perpendicular bisector of AB:

Slope of AB = (12-6)/(4-14) = -0.6

Midpoint of AB: ((4+14)/2, (12+6)/2) = (9, 9)

Perpendicular bisector: y = -0.6x + 14.4

Determine the perpendicular bisector of AC:

Slope of AC = (12-2)/(4+6) = 1

Midpoint of AC: ((4-6)/2, (12+2)/2) = (-1, 7)

Perpendicular bisector: y = x + 8

Circumcenter is the intersection of the perpendicular bisectors.

x + 8 = -0.6x + 14.4

1.6x = 6.4

x = 4

y = x + 8 = 12

(4,12)


Related Questions

During a sale a shop allows 20% discount off the marked price of clothing. What will a costomer pay for a dress with marked price of $30?

Answers

Answer:

Customer will pay $24 for a dress.

Step-by-step explanation:

Marked price of clothing in a shop = $30

Discount on the clothing = 20% off the marked price

Selling price of the clothing = Original price - discount

                                              = $30 - (20% of $30)

                                              = $30 - [tex](\frac{20}{100}\times 30)[/tex]

                                              = $30 - $6

                                              = $24

Therefore, customer will pay $24 for a dress.

Data yang sesuai dengan diagram dibawah ini adalah ...*

a. 123456
b. 24466633331111
c. 12345
d. 112222333334445

please help mee​

Answers

Jawaban:

D. 1122223333334445

Penjelasan dengan langkah-langkah:

Sumbu y = Frekuensi = berapa banyak pekerjaan

Sumbu x = Jenis Pekerjaan = pekerjaan nomor n

(maka)

Ada

2 buah pekerjaan nomor 1 = 11

4 buah pekerjaan nomor 2 = 2222

6 buah pekerjaan nomor 3 = 333333

3 buah pekerjaan nomor 4 = 444

1 buah pekerjaan nomor 5 = 5

maka hasilnya

1122223333334445 (d) ✅

_____________

#Jenius - kexcvi

Nyasar soalnya brainly di indo lagi mode ujian haha

Help I need this fast!

Answers

Answer: curve 60 angle 90

Step-by-step explanation:

y= 5x-9

domain = {1, 3, 7}

whats the range?

Answers

Answer:

Y= 5 - 9

Domain: {1,3,7}

Range: 6

Step-by-step explanation:

Subtract the minimum data value from the maximum data value to find the data range, In this case the data range is 7- 1 = 6. So the range is 6.

I have answered have a good day.

Do you solve for area

Answers

Answer:

I need a picture or something else so that I can help you!

Step-by-step explanation:

Smart people don't have to say "I'm smart" b/c they already know!

So you can post another question and I can help you!

simplify 4(q + 7) + 2

Answers

Answer:

The answer to this problem is 4q+30

First you would distribute the 4 into (q+7), which results in;

4q+28+2

Then you would simplify from here, and get;

4q+30

^^^ This is the final and correct answer.

Write an exponential regression equation for the data, rounding all values to the nearest thousandth.

Please help I will mark brainliest

Answers

f(x)= 39.59(1.09)




Hope this helps!!

Kiara said the line with equation 28x - y = -20 has a slope of 28. . What mistake did Kiara make?​

Answers

Therefore, the mistake Kiara made was to take the absolute value of the slope instead of correctly identifying the slope as a negative value.

What is equation?

An equation is a mathematical statement that shows that two expressions are equal. It consists of two sides separated by an equal sign (=). The expressions on both sides of the equal sign can contain variables, constants, coefficients, and mathematical operations such as addition, subtraction, multiplication, division, exponentiation, logarithms, etc. Equations can have different types of solutions, including real solutions, complex solutions, and no solutions. Equations can be used to model a wide range of mathematical and scientific problems, and they are an essential tool for problem-solving in many fields.

Here,

The equation 28x - y = -20 is in the form of the standard linear equation Ax + By = C, where A, B, and C are constants, and x and y are variables.

To find the slope of a line from an equation in this form, we need to rearrange the equation into slope-intercept form, which has the form y =mx + b, where m is the slope of the line, and b is the y-intercept.

To do this, we need to isolate y on one side of the equation:

28x - y = -20

-y = -28x - 20

y = 28x + 20

Now we can see that the equation is in slope-intercept form, with a slope of 28, not -28 as Kiara thought.

Kiara made a mistake in identifying the slope of the line.

To know more about equation,

https://brainly.com/question/649785

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Six friends share 2 pumpkin pies equally. What fraction of a pumpkin pie does each friend get?

Answers

Answer:

1/3 of the pumpkin pie

Step-by-step explanation:

2 pies can equal 6 pieces, 3 pieces a pie

If their are 6 friends and 3 pieces a pie then then they will have a 1/3 of the pie each

1/3 times 6 equals  6/3, which equals 2 pies

Find the coordinates of the intersection of the diagonals of the parallelogram with the vertices Q(-1,3), R(5,2), S(1, - 2), and
T(-5, -1)
Find the coordinates of the intersection.​

Answers

Answer:0,0.5

Step-by-step explanation:

The coordinates of the intersection of the diagonals of the parallelogram will be (0, 0.50).

What is the equation of a line passing through two points?

Let the equation of the line pass through (x₁, y₁) and (x₂, y₂).

Then the equation of the line is given as,

[tex]\rm (y - y_2) = \left (\dfrac{y_2 - y_1}{x_2 - x_1} \right ) (x - x_2)[/tex]

The coordinates of the parallelogram are given below.

Q(-1,3), R(5,2), S(1, - 2), and T(-5, -1)

The equation of the QS diagonal line is given as,

(y - 3) = [(3 + 2) / (- 1 - 1)](x + 1)

y - 3 = - 2.5 x  - 2.5

y = - 2.5 x + 0.5       ...1

The equation of the RT diagonal line is given as,

(y - 2) = [(2 + 1) / (5 + 5)](x - 5)

y - 2 = 0.3 x  - 1.5

y = 0.3 x + 0.50       ...2

From equations 1 and 2, then we have

0.3 x + 0.50 = - 2.5 x + 0.50

x = 0

Then the value of y is calculated as,

y = 0.3 (0) + 0.50

y = 0.50

The coordinates of the intersection of the diagonals of the parallelogram will be (0, 0.50).

More about the line passing through two points link is given below.

https://brainly.com/question/12740817

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If 48X^2,64x^4 ,x 36x^2 are in proportion , find the value of x​

Answers

Answer:

The value of x = 27

Step-by-step explanation:

Given:

48x² : 64x⁴ ::: x : 36x²

Find:

The value of x

Computation:

(a)(d) = (b)(c)

(48x²)(36x²) = (64x⁴)(x)

(1,728x⁴) = (64x⁵)

x = 27

The value of x = 27

Following are the solution to the given expression:

Given:

[tex]\to 48x^2 : 64x^4 :: x : 36x^2[/tex]

To Find:

x=?

Solution:  

[tex]\to 48x^2 : 64x^4 :: x : 36x^2[/tex]

[tex]\to \frac{48x^2}{ 64x^4} =\frac{ x}{ 36x^2}\\\\[/tex]

cross multiply:

[tex]\to \frac{48x^2 \times 36x^2}{ 64x^4} =x\\\\\to x= \frac{48x^2 \times 36x^2}{ 64x^4} \\\\\to x= \frac{48 \times 36}{ 64} \\\\\to x= \frac{6 \times 9}{ 2} \\\\\to x= 3 \times 9\\\\\to x=27[/tex]

Therefore, the answer is "27".

Learn more:

brainly.com/question/12149603

Write an equation in slope-intercept form of the
line with slope -1/3 that contains the point (-3,-5).

Answers

The equation would be y = -1/3x -6

What is the solution to the equation below?


14x=12

Answers

Answer:

Step-by-step explanation:

hello :

14x=12

x=12/14

x=6/7

I BET NO ONE KNOWS THIS y varies jointly as x and z. y=20 when x=2 and z=5 . Find y when x=3 and z=6

Answers

Hello!

If y varies jointly with x and z, it'll mean that x and z are being multiplied by a factor "k", to equal y.

To give you a visual, this is what I mean.

[tex]y=kxz[/tex]

That means we'll want to find [tex]k[/tex] with the first point we're given: [tex](2,20,5)[/tex]

[tex]20=k(2)(5)[/tex]

[tex]20=10k[/tex]

[tex]k=2[/tex]

Which means our equation is:

[tex]y=2xz[/tex]

Now, let's plug in the [tex]x[/tex] and [tex]z[/tex] from the other point to find [tex]y[/tex].

[tex]y=2(3)(6)[/tex]

[tex]y=36[/tex]

Hope this helps!

Answer:

Hello!

If y varies jointly with x and z, it'll mean that x and z are being multiplied by a factor "k", to equal y.

To give you a visual, this is what I mean.

That means we'll want to find  with the first point we're given:

Which means our equation is:

Now, let's plug in the  and  from the other point to find .

Step-by-step explanation:

PLEASE HELP BRO ILL MARK BRAINLEST
What operation would you do to balance this equation.
In other words, what would you put in the clouds.
a-4 = 10
a
add 4 to both sides
subtract 4 to both sides
multiply 4 to both sides
divide 4 to both sides

Answers

Answer:

add 4 to both sides

Step-by-step explanation:

a-4+4=10+4

a=14

Tickets to a play cost $10 at the door and $8 in advance. The theatre club wants to raise at least $800 from the sale of the tickets from the play.
Write an inequality for the number of tickets the theatre club needs to sell.
If the club sells 40 tickets in advance, how many does it need to sell at the door to reach its goal?
Use x to represent the number of tickets sold at the door. Use y to represent the number of tickets sold in advance.

Answers

Answer:

Hi

Step-by-step explanation:

If P=(2,-1),find the image of P under the following rotation. 180 degrees counterclockwise about the origin

Answers

9514 1404 393

Answer:

  (-2, 1)

Step-by-step explanation:

Rotating a point 180° about the origin in either direction is equivalent to reflecting it across the origin. The effect is to negate both coordinates.

  (x, y) ⇒ (-x, -y) . . . . . rotation 180°

  (2, -1) ⇒ (-2, 1) . . . . . P' rotated 180° from P

The coordinates of the rotated point are (-2, 1).

How do you find the NUMBER OF SIDES from an angles sum of an IRREGULAR POLYGON?

Answers

Answer:

all the sides and corners have lengths may i have brainly

Step-by-step explanation:

12. Which trig function has no zeros?
A. sine
B. cosine
C. tangent
D. none

Answers

I think it’s letter D. none
cosecant, secant, and cotangent do not have real zeros. Therefore out of these options none would be the answer

A'B'C is a translation of ABC. what is the length?​

Answers

Answer:

6 units

Step-by-step explanation:

A translation is a rigid body motion, meaning that it is a type of transformation that doesn't change the length of any sides, or it is the same as the original image. Since A'C' corresponds to AC, it must be 6 units as AC is 6 units.

Answer: 6 units

Step-by-step explanation:

i need to find x, they're vertical angles​

Answers

Answer:

x = 16

Step-by-step explanation:

vertical angles are equal

3x = 2x+16

x = 16

Answer: x = 16

Step-by-step explanation:

Since they are vertical angles, we can set them up equal to each other:

3x = 2x + 16

Now, we simply solve for x by subtracting 2x on both sides of the equation.

3x = 2x + 16

x = 16

Kenny has $500 in a savings account. The interest rate is 4%, compounded annually.
To the nearest cent, how much will he have in 1 year?

Answers

Answer:

After one year Kenny will have $520.

Step-by-step explanation:

Answer:

$520

Step-by-step explanation:

500(0.04) = kenny's annual interest rate return= 20

500+20= total dollars kenny has in a year

DONTBANSWERBIF DONT KNOW PLEASE solve this system by ELIMINATION. show all of your work

2x+3y= -11
8x -2y= -2​​

Answers

Answer:

x = -1 and y = -3

Step-by-step explanation:

The given equations are :

2x+3y= -11 ...(1)

8x -2y= -2​​ ...(2)

We need to solve the equations.

Multiply equation (1) by 4.

8x+12y= -44 ...(3)

Subtract equation (2) from (3).

8x+12y-(8x -2y) = -44-(-2)

8x+12y-8x +2y = -42

14y = -42

y = -3

Put the value of y in equation (2).

8x -2(-3)= -2​​

8x+6 = -2

8x = -8

x = -1

So, the values of x and y are -1 and -3 respectively.

If the triangle on the grid below is translated by using the rule (x, y) right-arrow (x minus 2, y + 2), what will be the coordinates of A prime?

On a coordinate plane, triangle A B C has points (negative 2, negative 2), (negative 2, negative 4), (2, negative 4).
(–4, 0)
(0, 4)
(0, 0)
(–2, 2)

Answers

Answer:

A i think

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

PLEASE HELPP! geometric probabilities​

Answers

The answer to this is 5/20

HELP MATCHING EACH PROPORTION WITH ITS SOLUTION

Answers

no puedo ver el problema

18 percent of people in a city eligible to donate blood actually do. You randomly select four eligible blood donors and ask them if they donate blood. Complete parts​ (a) through​ (d) below.

Answers

Answer:

[tex]P(x = 1) = 0.3970[/tex]

[tex]P(x = 2) = 0.1307[/tex]

[tex]P(x = 3) = 0.0191[/tex]

[tex]P(x = 4) = 0.0011[/tex]

Step-by-step explanation:

Given

[tex]n =4[/tex]

[tex]p = 0.18[/tex]

Required

(a) - (d)

x | P(x)

0 | 0.452

1 |

2 |

3 |

4 |

To solve (a) to (d), we simply apply the following binomial probability formula

[tex]P(x) = ^nC_xp^x(1-p)^{n-x}[/tex]

Solving (a):

[tex]x = 1[/tex]

So, we have:

[tex]P(x = 1) = ^4C_1 * (0.18)^1 * (1-0.18)^{4-1}[/tex]

[tex]P(x = 1) = ^4C_1 * (0.18)^1 * (1-0.18)^{4-1}[/tex]

[tex]P(x = 1) = 4 * (0.18)^1 * (1-0.18)^3[/tex]

[tex]P(x = 1) = 0.3970[/tex]

Solving (b):

[tex]x = 2[/tex]

So, we have:

[tex]P(x = 2) = ^4C_2 * (0.18)^2 * (1-0.18)^{4-2}[/tex]

[tex]P(x = 2) = 6 * (0.18)^2 * (1-0.18)^2[/tex]

[tex]P(x = 2) = 0.1307[/tex]

Solving (c):

[tex]x = 3[/tex]

So, we have:

[tex]P(x = 3) = ^4C_3 * (0.18)^3 * (1-0.18)^{4-3}[/tex]

[tex]P(x = 3) = 4 * (0.18)^3 * (1-0.18)^1[/tex]

[tex]P(x = 3) = 0.0191[/tex]

Solving (d)

[tex]x = 4[/tex]

So, we have:

[tex]P(x = 4) = ^4C_4 * (0.18)^4 * (1 - 0.18)^{4-4}[/tex]

[tex]P(x = 4) = 1 * (0.18)^4 * (1 - 0.18)^0[/tex]

[tex]P(x = 4) = 0.0011[/tex]

Nathan will add -7 to -5 then multiply the sum by -2.

Which product should he find?



4


24


-4


-24

Answers

Answer:

its positive 24

Step-by-step explanation:

-7+(-5)= -12

-12×(-2)= 24

He should get 24

You get -12 when you add -7 and -5
And then you get 24 when you multiply -2 by -12

Hope this helps :)

A rectangular dance floor has an area of 96 square feet and a length of 8 feet.
What is the width of the dance floor?
Enter your answer in the box

Answers

Answer:

12 is the width

Step-by-step explanation:

1. To solve this problem we must first set up an equation:

96a=8l ×?w

2. this is what this equation means 96(area) equals 8(length) times what(width)

3. so we must find out what we must multiply by 8 to get 96

4. to do this we will divide 96 by 8

which equals 12!

136 oz is how many pounds
A.6.8 pounds
B.8.5 pounds
C.1088 pounds
D.2,176 pounds​

Answers

Answer:

B 8.5 Pounds

Step-by-step explanation:

I hope this helps!

Answer: 8.5

Step-by-step explanation:

16 ounces is a pound

so we divide 136 by 16 and get 8.5

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