write the equation of the circle given a center of (1,3) and a point on the circle at (-2,7)

Answers

Answer 1

Answer:

Ecuación estándar de un círculo

(x−2)2+(y−2)2=25

Forma general de la ecuación de un círculo

x2−4x+y2−4y−17=0

Ecuaciones paramétricas de un círculo

x=5cosθ+2y=5sinθ+2

Step-by-step explanation:

Ecuación Estándar de un Círculo

La ecuación estándar de un círculo con el centro en (x_0, y_0) y radio r es

(x^2-x_0) + (y^2-y_0)=r^2

Ecuaciones Paramétricas de un Círculo

Las ecuaciones paramétricas de un círculo con el centro en (x_0, y_0) y radio r son

x=r cos \theta + x_0\\y=r sin \theta + y_0

Ecuación General de un Círculo

La ecuación general de un círculo con el centro en (x_0, y_0) y radio r es

x^2+ax+y^2+by+c=0,

donde

a=-2x_0\\b=-2y_0\\c=x^2_0+y^2_0-r^2


Related Questions

A 15 ft tall tree with shadow of 25 ft, What is the length from end of shadow to top of tree?

Answers

Answer: A 29.2

Step-by-step explanation:

Answer:

The answer is 29.155, rounded to 29.2! Good luck!

It is one more than the sum of the first three natural numbers, followed by the 24th letter of the alphabet. Please help

Answers

Answer:

The set of natural numbers is the set of all positive integers, then this set is:

{1, 2, 3, ...}

and the 24th letter of the alphabet is x

Now we want to write the expression given in the sentence "It is one more than the sum of the first three natural numbers, followed by the 24th letter of the alphabet"

We can "break" this in parts, so it is easier to understand.

Then:

"...the sum of the first 3 natural numbers..."

is:

1 + 2 + 3

Then:

"...the sum of the first 3 natural numbers, followed by the 24th letter of the alphabet"

This can be written as:

(1 + 2 + 3) + x

Now we can analyze the complete sentence:

"It is one more than the sum of the first three natural numbers, followed by the 24th letter of the alphabet"

This is equal to the expression we found above plus one, then we can write this as:

[(1 + 2 + 3) + x] + 1

[6 + x] + 1

6 + x + 1

7 + x

What are ALL the 100 digits of pi?

Answers

Answer:

3.1415926535897932384626433832795028841971693993751058209749445923078164062862089986280348253421170679

3.1415926535 8979323846 2643383279 5028841971 6939937510 5820974944 5923078164 0628620899 8628034825 3421170679

Hope this helps; have a great day!

Sam picked 48 oranges in 5 minutes. How many oranges could she pick in 2 minutes?

Answers

Step-by-step explanation:

48 oranges in 5 minutes means she picked 48 oranges in 300 seconds.

Divide 48 by 300 to get what she would pick in one second.

This equals 0.16

Multiply 0.16 by 120 seconds [how many seconds are in two minutes].

This equals 19.2 oranges in two minutes. As she cannot pick 0.2 of an orange, she could pick 19.

hello, last question about this assignment. please answer asap if you can and show work. thanks

Answers

Answer:

52 in^2

Step-by-step explanation:

If the diameter = 3 in, then the radius = 1.5 in.

To find the surface area, you need to find the area of the two circle areas (the base and the top of the cylinder) and the "sides" of the cylinder. If you look at the net shape of a cylinder, look at the picture below. That middle region aka the "side" of the cylinder is actually a rectangle. The length of the rectangle is also the circumference of the circle and the width is also the height of the can.

So:

2 * Area of the circle + rectangle = total surface area of the can

= 2(πr^2) + 2πrh

= 2π(1.5^2) + 2π(1.5)(4)

= 2π(2.25) + 12π

= 4.5π + 12π

= 16.5π

≈ 51.8

52 in^2

there are 90 chairs arranged for people to watch a band concert. if 75 chairs have people in them during the concert, what percentage of the chairs are fiilled​

Answers

Answer: 83.3%

Step-by-step explanation:

Simply you want to divide 75 by 90 and you will get 83.3%

HELP PLSSSSSS MATH :(

Answers

Answer:

1. (2,3)

2. (7,-2)

3. (-4,-1)

4. No solutions

Step-by-step explanation:

Solve using substitution or elimination.

HELP HELP ASAP ASAP WILL GIVE EXTRA POINTS
*the system of equations are “y=-6x+10
7x-5y =24”

Answers

the answer is (2,-2)

Which is an equation of the line through (-8,-4) and (4, 5)?

Answers

Answer:

the right answer is A :)

80% of x is 40. What is the value of x?

Please help hurry!!

Answers

Answer:

The answer would be 50

Step-by-step explanation:

True or false: Every sequence is either arithmetic or geometric. If this is true, explain. If false, give a counterexample to illustrate.​

Answers

Answer:

No false

Step-by-step explanation:

Theres the fibonacci sequance 1,1,2,3,5,8...

A car museum wants to increase its collection by 20%. Currently the museum has 120 cars in its collection. How many cars would the museum need to add over the next year to meet its goal?

Answers

Answer:

24

Step-by-step explanation:

Lamar needs to buy some pencils. Brand A has a pack of 18 pencils for 2.36 . Brand B has a pack of pencils 24 for 4.09 Find the unit price for each brand. Then state which brand is the better buy based on the unit price. Round your answers to the nearest cent.

Answers

Answer:

The unit price of brant A and brand B is 0.1311 and 0.1704 and brand A would be better

Step-by-step explanation:

The computation of the unit price for each brand is shown below:

For brand A, the unit price is

= 2.36 ÷ 18 pencils

= 0.1311

For Brand b, the unit price is

= 4.09 ÷ 24

= 0.1704

So here as we can see that brand A would be better as it has less cost as compared with brand B

(3x²-21x-24)take out the highest common factor​

Answers

Answer:

x = 8 or x = -1 is the answer

Step-by-step explanation:

3x² - 21x -24

divide with 3

x² - 7x - 8

Factorizing,

x² + x - 8x - 8

x(x + 1) -8 (x + 1)

(x - 8) (x + 1)

x = 8,-1

3(x-8)(x+1)
i need characters sjushsjsbs lol

Find the selling price of each item.
Original price of a comic book: $1.50
Discount: 20%

Answers

1.20$ is your answer
change 20% to 0.2
1.50 x 0.2 = 0.3
the price with the discount is $1.2

The figure is not drawn to scale. PQ and MN are straight lines.
Find ZZ
helpppp

Answers

180-135=45

45+z+87=180
132+z=180
z=48

(50pts) The distance covered and the time taken by a car are plotted in a graph.


a. Find the slope of the line in the graph.
b. Calculate the distance traveled by the car at the 20th second.
c. Calculate the speed of the car.

Answers

Answer:

a=2

b=40m

c=2m/s

Step-by-step explanation:

slope is rise over run so 10/5 simplified is 2/1 or 2

for b just look at the graph at the 20th second

for c you do distance over time so basically the same thing as a 10/5 which is 2m/s

Find the Volume (nearest integer):*

Answers

Answer:

the correct answer is 4) 1692

Tyler’s brother earns $15 per hour. The store offers him a raise—a 5% increase per hour. After the raise, how much will Tyler’s brother make per hour? i really need help

Answers

Answer:

$75per hour

Step-by-step explanation:

15×5=75 jshshhsbw

4=2/9x A) 6 B) 9 C) 15 D) 18

Answers

Answer:

D. 18

Step-by-step explanation:

multiply both sides by 9/2, the reciprocal of 2/9.

4×(9/2)=x

express 4×(9/2) as a single fraction.

4×9/2=x

multiply 4 and 9 to get 36.

36/2=x

divide 36 by 2 to get 18.

18=x

swap sides so that all variable terms are on the left hand side.

x=18

Answer:

D 18

Step-by-step explanation:

you devide 4 by 2/9 and get your answer

In Orlando Florida the high temperature was 85 degrees Fahrenheit on Saturday and 79 degrees Fahrenheit on Sunday what is the percent of change in the high temperature from Saturday to Sunday to the nearest whole percent

Answers

Answer:

[tex]7\%[/tex]

Step-by-step explanation:

Initial temperature = 85 degrees Fahrenheit

Final temperature = 79 degrees Fahrenheit

Percentage change in temperature is given by

[tex]\dfrac{|\text{Final temperature}-\text{Initial temperature}|}{\text{Initial temperature}}\times 100\%\\ =\dfrac{|79-85|}{85}\times 100\%\\ =7.05\approx 7\%[/tex]

The change in the high temperature from Saturday to Sunday is [tex]7\%[/tex].

3 cups, 3 ounces = ____ fl oz.

Answers

Answer:

27 fl oz.

Step-by-step explanation:

find the length of side a

Answers

Answer:

a = 4

Step-by-step explanation:

a² = 5² - 3²

a² = 25 - 9 = 16

√16 = 4

a = 4

Answer:

a = 4

Step-by-step explanation:

Using Pythagoras' identity in the right triangle.

The square on the hypotenuse is equal to the sum of the squares on the other 2 sides, that is

a² + 3² = 5²

a² + 9 = 25 ( subtract 9 from both sides )

a² = 16 ( take the square root of both sides )

a = [tex]\sqrt{16}[/tex] = 4

The solution to which system of equations has an x-value of 3?
(A) x + 2y =-1; y=3x + 3
(B) 3x – Y= 2; x + 2y=-1
(C) y= 3x + 3; 230 + 3y=0
(D) 2x + 3y=0; x + 2y=-1

Answers

Answer:

D)

Step-by-step explanation:

Plz help me Find the indicated information

Answers

That is a virus do not go to it

A school has 1200 students 1/3 are in the upper school. 2/5 in the middle school and the remainder in lower school. How many students are in lower school?

Answers

Answer:

257 students in the lower school

Step-by-step explanation:

you want to make the fractions have an equal denominator so make 1/3 5/15s and 2/5 to 6/15's, 5+6= 11/15s that leaves 4/15's for the lower part of the school

4 divided by 15 is 4.6 repeating so divide 1200 by 4.66 and boom

Can anyone please tell me if they did this page and found the answers????

Answers

Answer:

tor ba kita oisa kobic and yyio

a rectangle is 16 feet long and 8 feet wide find its area

Answers

The area of the rectangle is 128 square feet.

To find the area of a rectangle, you multiply the length by the width. In this case, the rectangle is 16 feet long and 8 feet wide.

Area = Length * Width

Substituting the given values:

Area = 16 feet * 8 feet

To perform the calculation, multiply the numbers:

Area = 128 square feet

Therefore, the area of the rectangle is 128 square feet.

The area of a rectangle represents the total amount of space enclosed within its boundaries. In this case, the rectangle measures 16 feet in length and 8 feet in width, so the area is calculated as 16 feet multiplied by 8 feet, resulting in 128 square feet.

The concept of area is fundamental in geometry and is used to measure the size of two-dimensional shapes. In the case of a rectangle, the area represents the product of its length and width, as every point within the rectangle contributes to its overall size.

Knowing the area of a rectangle can be useful in various situations. For example, if you want to determine how much flooring material is required to cover a rectangular room, you would need to know the area of the floor.

For more such questions on area visit:

https://brainly.com/question/25292087

#SPJ8

!!!Please help will give the brainliest, and please do not put in a silly answer because you want some points or I will report you!!! What are the properties of a kite, trapezoid, square, rectangle, parallelogram, rhombus?

Answers

Answer:

In short, they are all quadrilaterals.

Step-by-step explanation:

Rectangle:

- Every angle equals 90 degrees

- Opposite sides are equal and parallel

Square:

- Every angle equals 90 degrees

- Opposite sides are equal and parallel

- Diagonals within the square are perpendicular

Parallelogram:

- Opposite sides are equal and parallel

- Opposite angles are equal

- Any two angles next to each other have to equal 180 degrees, since it would be a line

Rhombus:

- Opposite angles are equal

- All sides are equal

- Opposite sides are parallel

- Diagonals within the square are perpendicular

- Any two angles next to each other have to equal 180 degrees, since it would be a line

Trapedzoid:

- There is only one pair of parallel lines

Kite:

- There are two pairs of equal signs

- There are two equal angles

- You can look at it like two equal triangles glued together

Really hope this helped you!

Please Help. Due Soon!

Answers

Answer:

yes

Step-by-step explanation:

They are correct because the reciprocal ( flipped or opposite) of -2/5 is 5/-2

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