The point (- 3, 6) is on a circle with a center at (2, 3) What is the equation of the circle?

Answers

Answer 1

Answer:

[tex](x - 2)^{2} + (y - 3)^{2} = 36[/tex] is the equation of the circle

Step-by-step explanation:

[tex](x - h)^{2} + (y - k)^{2} = r^{2}[/tex]   where (h, k) is the center and r is the radius

In this case h = 2 and k = 3 and r = 6 (see below)

r adius =

[tex]\sqrt{(2 + 3)^{2} + (3 - 6)^{2} } \\= \sqrt{5^{2} + (-3)^{2} } \\= \sqrt{25 + 9\\}\\ = \sqrt{36} = 6[/tex]

Therefore,  [tex](x - 2)^{2} + (y - 3)^{2} = 36[/tex] is the equation of the circle

Answer 2

The point (- 3, 6) is on a circle with a center at (2, 3) So, the equation of the circle will be (x-2)^{2} +(y-3)^{2}= 6^{2}.

What is the general equation of a circle?

The general equation of a circle of radius represents all the points that lie on the circumference of the given circle.

The general equation of a circle is:

[tex]\rm (x-h)^{2} +(y-k)^{2}= r^{2}[/tex]

where (h, k) is the center and r is the radius

The point (- 3, 6) is on a circle with a center at (2, 3).

here, h = 2 and k = 3

[tex]\sqrt{(2+3)^{2} +(3-6)^{2}} \\\\\sqrt{5^2+3^2} \\\\\sqrt{36} \\\\6[/tex]

therefore, the radius is 6 units.

Now, the equation of a circle is:

[tex]\rm (x-h)^{2} +(y-k)^{2}= r^{2}[/tex]

[tex]\rm (x-2)^{2} +(y-3)^{2}= 6^{2}[/tex]

Learn more about the equation of a circle;

https://brainly.com/question/10618691


Related Questions

what has two sides but can sometimes look like a line

Answers

Answer:

A string

Step-by-step explanation:

A plane will look like a line when viewed from a certain angle.

What is a plane?

A plane is a two-dimensional, Euclidean, infinitely long surface in mathematics. A plane is a point's (zero dimensions), a line's (one dimension), and space's (three dimensions) two-dimensional equivalents.

A plane may appear as a subspace of a higher-dimensional space, such as the infinitely long wall of a room, or it may exist independently in its own right, such as in the context of two-dimensional Euclidean geometry. The terms hyperbolic plane and elliptic plane are two examples of two-dimensional surfaces that can sometimes be described more widely by the word plane.

A plane has two sides but when observed from a certain angle it can look like a line.

learn more about planes here :

https://brainly.com/question/1962726

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15 = 0.25x
What is the value of x?

Answers

Answer:

x = 60

Step-by-step explanation:

15 = 0.25x

x = 15/0.25 = 60

Answer:

[tex]15 = 0.25x \\ \frac{15}{0.25} = x \\ \frac{15}{ \frac{1}{4} } = x \\ 15 \div \frac{1}{4} = x \\ 15 \times \frac{4}{1} = x \\ 15 \times 4 = x \\ 60 = x[/tex]

Value of x is 60.

[tex] \infty \infty \infty \infty \infty [/tex]

if the side of a traingular fiels is in ratio of 6:9:10. if it perimeter is 2500m what is the area of that field​

Answers

Answer:

266634.11 m^2

Step-by-step explanation:

The following information is given in the question

The ratio of the side of the triangular fields is 6:9:10

And, the perimeter is 2500m

We need to find the area of that field

So

Let us assume the 3 sides be x

Here so the sides be 6x,9x, 10x

Now the perimeter = sum of the length of all sides

2500 = 6x + 9x + 10x

2500 = 25x

x = 100

The three sides would be 600,900 and 1000

Now the area of that field would be

As we know that

The Area of the triangle as per the Heron Formula is

[tex]= \sqrt{s(s-a)(s-b)(s-c)} \\\\= \sqrt{1250(1250-600)(1250-900)(1250-1000)} \\\\= \sqrt{1250(650)(350)(250)} \\\\= \sqrt{71093750000}[/tex]

=  266634.11 m^2

Please fill in will give brainiest to first answer ddddddddddddddddddddddddddddddddddddddddddd

Answers

Democratic: 133 | 17 | 150
Republican: 18 | 142 | 160
Total: 151 | 159 | 310

help help help help helph helph epl

Answers

A: 7.2

B: 14.1

C: 9.5

D: 3.7

E: 8.1

pls help me!!
i will give brainliest!!

Answers

Answer:

D

Step-by-step explanation:

Select the correct answer. Which expression is a prime polynomial?
A. x^3 - 27y^6
B. x^4 + 20x^2 - 100
C. 3x^2 +18y
D. 10x^4 - 5x^3 + 70x^2 +3x

Answers

The expression is a prime polynomial is [tex]x^3 - 27y^6[/tex]

What is a prime polynomial?

An irreducible polynomial is a polynomial (of degree greater than zero) that cannot be factored into polynomials of lower degrees. The irreducibility property depends on the nature of the coefficients that are accepted for the possible factors, that is, the field or ring to which the coefficients of the polynomial and its possible factors should belong.

In this way we have that:

[tex]x^3 - 27y^6[/tex]

See more about prime polynomial at brainly.com/question/17489661

21 years 8 months =
months?

Answers

Answer:

260 months.

Step-by-step explanation:

Since there are 12 months in per year,

12 ⋅ 21 = 252.

There are 252 months in 21 years.

Then add the months left over.

252 + 8 = 260.

There are 260 months in 21 years, 8 months.

Plzzz help!!! ill givee brainliest!!!!

A student attempted to generate an equivalent expression using the distributive property, as shown below: 2(x + 5) = 2x + 5 What was the mistake made? (5 points) a 2 was not multiplied by x b 2 was not multiplied by 5 c Incorrect sign was used for the first term d Incorrect sign was used for the second term

Answers

Answer:

b) 2 was not multiplied by 5

Step-by-step explanation:

Correct answer: 2x + 10

If 300 students were surveyed in Mrs. Morton's class, how many chose badminton as their elective?

Answers

Answer:

150

Step-by-step explanation:

300/2 = 150

50%, or half, of 300 is 150

find the value of x and y​

Answers

Answer:

how do we find the value of x and y if there's no equation so please write your question

Answer:

Since, I could not answer your last question, I have tried to explain WHY SUM OF CO INTERIOR ANGLE IS 180°

Step-by-step explanation:

Blah blah blah...

Just answer these ig

Answers

Answer:

(d). 1/14

(e). -2 11/14

(f). -6.315

Step-by-step explanation:

Answer:

d). 1/14  e). -59/24  f). -6.315

Step-by-step explanation:

d). 1/14

e). -59/24

f). -6.315

Which of these is a statistical question?

A.How tall is the Willis Tower?
B.How many times has Mark visited the Willis Tower?
C.How many people visit the Willis Tower each day?
D.How tall is Mark?

Answers

Answer:

C

Step-by-step explanation:

jim has 6 apples, he gave away 2 apples, how many apples does jim have left

Answers

Answer:

Jim has 4 apples left.

Step-by-step explanation:

If you subtract 6 minus 2 you will get 4.

Answer: 4

Step-by-step explanation:

6-2=4

i know it’s a troll don’t worry

3x+3 gbggggggggggggggggggggg

Answers

Answer:

I think it is 3(x+1) not sure but try it(it is a graph answer)

Which numbers are perfect squares 1,2,16,18,32,44,94,100

Answers

Answer:

1, 16, 100

Step-by-step explanation:

1 = 1^2

16 =4^2

100 = 10^2

Answer:

1, 16, 100

or

A, C, H

Step-by-step explanation:

0.38x < 25 -10.81 - 10

Answers

Answer:

x=<15.28947

Step-by-step explanation:

0.38x<25-20.81

0.38x <5.81

0.38x÷0.38 < 5.81÷0.38

x <15.28947

Solve for x round your answer to the nearest tenth 13 18 x

Answers

Answer:

x=24.9

Step-by-step explanation:

Use pythagoras theorem to find half of x which is 12.45 then multiply by 2 to get x

This net represents an unfolded box.
What is the total surface area, in square inches, of this box.

Answers

Answer:

The answer is C. Which is 248 square inches.

Step-by-step explanation:

This is the answer to Jo question

Answers

Answer:

Kindly check explanation

Step-by-step explanation:

The following mistakes could be explained observed from the plotted bar chart presented in the attachment :

1.) The numeric label of the y-axis which shows the number of text messages isn't well scaled, the numbering did not start from 0, hence this is a defect in the scaling of the bar chart.

2.) Looking closely, the plotted bars do not ALIGN well in terms of spacing as the interval between each bar isn't consistent.

3.) Both the x and y axis of the graph are t labeled thus failing to add a good and meaningful description to the plot especially for first time viewers.

Kevin is making trail mix for his hike tomorrow. He has 9
cups of candy coated peanuts, and 2 cups of granola.
How many bags can he make without having any
ingredients left over, but with every bag having the exact
same ratio of peanuts to granola?

Answers

Answer:

2

Step-by-step explanation:

A rectangle has an area of 35 square meters what could the length and width be

Answers

Answer:

7 and 5

Step-by-step explanation:

7 times 5 = 35

sorry if i got it wrong

Answer:

Step-by-step explanation:

Factors of 35 are 1,5,7 and 35

width 5m ,  length 7m

  or

width 1 m ,  length 35m

4-13 writing exponential equations

Answers

Answer:

[tex]y=2(\frac{1}{3})^x[/tex]

Step-by-step explanation:

Let the equation of the given exponential function is,

y = a(b)ˣ

Graph of the given exponential function passes through (0, 2) and (-1, 6)

For a point (0, 2),

2 = a(b)⁰

a = 2

For another point (-1, 6),

6 = 2(b)⁻¹

3 = b⁻¹

b = [tex]\frac{1}{3}[/tex]

Therefore, equation of the exponential function will be,

[tex]y=2(\frac{1}{3})^x[/tex]

Find x to the nearest tenth

Answers

Answer:

Answer is C

Step-by-step explanation:

Sin67°=x/20

x=20sin67°

x=18.4

A box contains 3 red pencils, 4 blue pencils, and 8 green pencils. Picking a yellow pencil from the box is

Answers:
Likely
Unlikely
certain
Impossible

Answers

Picking a yellow pencil is Impossible.

Which fractions are equivalent to the fraction below check all that apply 12/21 ?

Answers

B & C I believe, not too sure about the “B” but ik C for sure

Alyssa has 216 large sprinkles she divided them equily beetwen a dozen cupcakes. How many sprinkles does Alyssa have to put on each cupcake

Answers

Answer:

18

Step-by-step explanation:

216/12

Answer:

18 sprinkles per cupcake

Step-by-step explanation:

Find the "unit rate."    That's (216 sprinkles) / (12 cupcakes), or

18 sprinkles per cupcake.

According to the 2010 census, 11.7% of the people in the state of Oregon were Hispanic or Latino. A political party wants to know how much impact the Hispanic and Latino vote will have, so they wonder if that percentage has changed since then. They take a random sample of 853 adults in Oregon and ask, among other things, their race. 113 of the people surveyed were Hispanic or Latino. Can the political party conclude that the Hispanic proportion of the population has changed since 2010? Test an appropriate hypothesis.

Answers

Answer:

A political party wants to know how much impact the Hispanic and Latino vote will have, so they wonder if that percentage has changed since then. They take a random sample of 853 adults in Oregon

(b) Scott added 8 fish to his pond each day for 64 days. What was the total change in the number
of fish in the pond?
fish

Answers

Answer:

512

Step-by-step explanation:

8 fish per day x 64 days

512 fish

Which of the following functions translates the graph of the parent function f(x) = x2 horizontally left 8 units?
Ah(x) = x2 + 8
B. h(x) = (x – 8)
C. h(x) = x2 - 8
D. h(x) = (x + 8)2

Answers

answer is c h(x)=x2-8
It’s C, h(x)=x^2-8
Here is the process;
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