Write the equation in standard form for the circle passing through (2,6) centered at the origin.

Answers

Answer 1
Answer:  x^2 + y^2 = 40

==========================================================

Explanation:

The center is the origin, so (h,k) = (0,0).

The point (x,y) = (2,6) is on the circle's edge. We'll use these four values to find the value of r^2

(x-h)^2 + (y-k)^2 = r^2

(2-0)^2 + (6-0)^2 = r^2

2^2 + 6^2 = r^2

4 + 36 = r^2

40 = r^2

r^2 = 40

We don't need to solve for r itself. If you wanted to, you'd get the radius to be r = sqrt(40) = 2*sqrt(10) = 6.324555 approximately.

------------------

Since h = 0, k = 0, and r^2 = 40, we can say:

(x-h)^2 + (y-k)^2 = r^2

(x-0)^2 + (y-0)^2 = 40

x^2 + y^2 = 40


Related Questions

Priya's family exchanged 250 dollars for 4,250 pesos. Priya bought a sweater for 510 pesos. How many dollars did the sweater cost? Pesos dollars 4,250 250 25 1 3 510

Answers

Answer:

$30

Step-by-step explanation:

since they exchanged them we can assume they are worth the same

250=4250

First find how many pesos is worth 1 dollar

4250/250= 17

Then divide the amount the sweater costs by how much 1 dollar would be

510/17= 30

The sweater would cost 30 dollars.

Use the graph of the polynomial function to find the factored form of the
related polynomial. Assume it has no constant factor.
A. (x + 1)(x-7)
B. (x + 1)(x + 7)
C. (x - 1)(x-7)
D. (x - 1)(x + 7)

Answers

The factored form of the related polynomial function is  (x - 1)(x - 7).  

What is polynomial function ?

Polynomial function is a function that involves non-negative integer powers or positive integer exponents of a variable in an equation like the quadratic equation, cubic equation.

We have,

In the graph given in question, we can see that x - intercepts the axis twice.

And graphs behave differently at various x - intercepts. Sometimes the graph will cross over the x-axis at an intercept and other times the graph will touch the x-axis and bounce off.

Now, in graph;

The intercept at x = 1 ,

i.e. the solution of the x - 1 = 0  and passes through the axis.

Now,

The x - intercept at x = 7,   is the solution of x - 7 = 0 and again passes through the axis.

So, from the above statements we can say that the factored form of the related polynomial is  (x - 1)(x - 7)

Thus, we can say that the factored form of the related polynomial function is  (x - 1)(x - 7).

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What is the position
number of the term
125 in the sequence
f(n) = 2n+3?



Answers

Answer:

61st term in the sequence

Step-by-step explanation:

125 = 2n + 3

122 = 2n

n = 61

From his home Craig would have to walk due north to get to his friend Devon's house and due east to get to his friend Dereks house.it is 4 miles from Craigs house to derricks House and a straight line distance of 5 miles from devon house to derricks House how far is Craig's house from Devon's house

Answers

Answer:

3 miles

Step-by-step explanation:

This is because Derek would be your right angle of the corner of the right triangle. And since the distance is both of those houses from Derek’s house, you would have to use the Pythagorean Theorem to find the difference of the hypotenuse and the leg

Given that the perimeter of the equilateral triangle below is 63 , solve for x

Answers

An equilateral triangle has 3 equal sides with 3 equal angles.

Let x be the length of a equilateral triangle.

x + x + x = 63

3x = 63

x = 63/3

x = 21

Hope it helps! Make me brainliest if it’s correct!

every angle of a equilateral triangle is_____.​

Answers

Every angle of an equilateral triangle is 60°

help...........................

Answers

Answer:

Could you please repeat the question?

Answer:

Answer:

Step-by-step explanation:

What help!

Thanks for free points!

Have a nice day!

HELP ASAP!!

drag each expression into the correct category according to its sum or product.

Answers

Answer:

Here are the answers. Hope this helps you!

Step-by-step explanation:

11/12*9/22 = rational         (as the solution is 33/88 which is in p/q form with                                    q not equal to 0 and p and q as integers.)

√5 *8 = 8√5 = irrational

3 + √17 = irrational                               (sum of a rational and irrational     number is always irrational)

√3*√12 = √36 = 6= rational number

π - 2π = -π = irrational                                   (since π is irrational)

-3/8 + 3/5 = -15+24/40 = 9/40 = rational

√6/2  - 1/2 = 1/2*√6 - 1 * 1/2 = 1/2 (√6 - 1) = irrational      (in this case difference is irrational and the product is clearly irrational as well).

The boys' basketball team at Washington High School has been doing really well so far this year. In the past six games, they've scored the following points.

84, 67, 74, 87, 67, 73

What is the mean of their scores?

20
67
73.5
75.3

Answers

Answer:75.3

Step-by-step explanation:

Add all the numbers then divide by how many numbers their are

Answer:

75.3

Step-by-step explanation:

You add all the numbers together and you get 452. Then you you divide 452 by how many numbers are in the set which is 6 and you get 75.2 but since there is 75.3 but no 75.2, 75.3 is your anwser.

Hope this explains a lot!!!!!!!!!!!!!!

What percent is 50% of 50% of x? Please help.

Answers

25% is 50% of 50.

Explaination is on the picture.

50% of 100 is 50.

A value or ratio that may be stated as a fraction of 100 is referred to as a percentage in mathematics. If we need to calculate a percentage of a number, we should divide it by its entirety and then multiply it by 100.

Let x be a number such that

50% of x is 50

This forms an equation in one variable which can be solved by transposition.

[tex]50/100\times x = 50[/tex]

x/2=50

On multiplying 2 both sides,

[tex]X/2\times 2 =50\times 2[/tex]

X=100

Thus, 50% of 100 is 50.

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Correct question:

50% of what is 50.

Please help me I'll give you the crown if its right

In the figure below, mROP = 125°.
Find the measure of each arc. For each arc, write two or more complete sentences explaining which theorem or postulate you used to find your answer. Include your equations and calculations in your final answer.

Answers

Step-by-step explanation:

first we notice that the line RS makes a diagonal in the circle.Since we are given ROP we can find SOP by:

180⁰-125⁰=55⁰

since they are in each others opposite point they are equal so that means that if we try the equation we did before: SOQ =ROP and QOR=SOP

Step-by-step explanation:

step 1. mPOS = 180 - 125 = 55°. (supplementary angles)

step 2. mQOS = 125° (vertical angles)

step 3. mQOR = 180 - 125 = 55° (supplementary angles).

b) ¿Cuál es la relación entre el diametro y el radio?

Answers

Answer:

La circunferencia es una línea curva, y su longitud depende del radio o del diámetro. La relación matemática entre el radio (o diámetro) y la circunferencia se da por la siguiente fórmula: C = 2πr = πD. Donde C es la circunferencia y π=3.14.

Step-by-step explanation:

Answer:

Él radio mide la mitad de lo que mide él diámetro

Step-by-step explanation:

Espero te ayude la respuesta :)

Can someone help me please. I have to show my work.

Answers

Answer:

Step-by-step explanation:

1. P = (width + lengh) * 2 = (23 + 10) * 2 = 33 * 2 = 66

  A = width * lengh = 23 * 10 = 230

2. width = 7

 P = (width + lengh) * 2 = ( 7 + 9) * 2 = 16 * 2 = 32

Answer:

4. area= 230cm^2 perimeter= 66cm

5. width= 7m  perimeter= 32m

Step-by-step explanation:

4. a = w*l

23cm*10cm=230cm^2

p= add all sides

23cm+23cm+10cm+10cm=66cm

5. w= a/l

63m^2/9m=7m

p= add all sides

7m+7m+9m+9m=32m

Chad likes to play Bingo at the nearby American Legion Hall. One day he goes into the hall with $14 in his pocket. When he comes out, he has no money left and owes his friend Greg $3.

1. How much money did Chad lose that night?

2. At home, Chad finds $5 in the kitchen drawer. If you include the $3 he owes Greg, how much does Chad have, total?

Answers

Answer:

1. $17

2.$2

Step-by-step explanation:

Answer:

1)14+3=17

2)5-3=2

Solve the following equation by using the QUADRATIC FORMULA
x2 – 5x – 12 = 0

Show how you got that answer

Answers

Answer:

x=(5+√73)/2 or x=(5-√73)/2

Step-by-step explanation:

a=1 b=-5 c=-12

x= (-b+/-√b^2-4ac)/2a

x= (-(-5)+/-√(5)^2-4(1)(-12))/2(1)

x= (5+/-√25-4(-12))/2

x= (5+/-√25+48)/2

x= (5+/-√73)/2

x=(5+√73)/2 or x=(5-√73)/2

√: This symbol represents the square root if you get confused.

y=x/3+2.
Its a benchmark pls help

Answers

Answer:

Slope:

y= 1/3

The following box plot shows points awarded to dance teams that competed at a recent competition:

Which dot plot best represents the box plot data?

(answer choices are in order btw) Answer choices:

Answers

Answer:

The following box plot shows points awarded to dance teams that

Step-by-step explanation:

Which dot plot best represents the box plot data?

(answer choices are in order btw) Answer choices:

1. Which of the points below
is a solution to the system:
y = 3x + 2 and y = 5x - 6?
A. (3, 11)
B. (4, 14)
C. (2, 4)
D. (18, 60)

Answers

Answer:

B

Step-by-step explanation:

I found this out my pluging in the points from B into the two each equation

[tex]14 = 3(4) + 2[/tex]

[tex]14 = 5(4) - 6[/tex]

Hope this helped

If the ratio of milk cartons to juice boxes is 13:x and there are 39 milk cartons
and 18 juice boxes, what is the value of x?

Answers

the answer is 6 because 39/13=3 and 18/3=6

Answer:

6

Step-by-step explanation:

Just write the amount of milk cartons and juice cartons as a fraction and simplify it

39/18 the biggest common divisor for this is 3 so we divide the fraction by 3

13/6 x = 6

hii please help i’ll give brainliest if you give a correct answer!

Answers

Answer:

8

Step-by-step explanation:

Which expression has a value of 15 when n= 7?
43-5
O 31-5
O on-28
28
019-
n

Answers

Answer:

19- 28 over N

Step-by-step explanation:

Ques

The set of values (63, 64, 65, 66} represents solutions of which inequality?

Answers

Answer: 63 < N ≤ 66

Step-by-step explanation:

We have the set:

(66, 64, 65, 66]

First.

When we have an end with the signs "(" or ")" means that the element near the sign does not belong to the set, this would be an "open" end. Usually used for the symbols > and <

While the sign "[" or "]" (in some cases the symbols { and } are used instead)

means that the value next to it are included in the set. Usually used for the symbols ≤ and ≥.

Then in the set: (63, 64, 65, 66} the value 63 does not actually belong, and value 66 does belong.

Then this set is written as:

63 < N ≤ 66

Such that N is an integer number.

CAN SOMEONE HELP ME PLEASE!!!

Answers

Answer:

i think this is right

Step-by-step explanation:

4

8x-7=-5x+19 denklemini sağlayan, x'in değeri kaçtır? ​

Answers

Answer: X=2

Step-by-step explanation:

8x-7=-5x+19

=> 8x+5x=19+7 [Transforms]

=> 13x=26

=> x=26/13

So, x=2

In an inverse variation, x = -6 when y = -1/2. What is the value of y when x = 4?

Answers

Answer:

[tex]9 \frac{1}{2} [/tex]

Step-by-step explanation:

just add 5.5 to each number and make it in fraction

hop it helps you

please mark me as brainlist

Solve for x. −9x+2>18 AND 13x+15≤−4

Answers

Answer:

-16/9

Step-by-step explanation:

I need help my brain is too small to answer this

Answers

Answer:

5/6 or 0.83

Step-by-step explanation:

5 ÷ 6 = 0.83 or 5/6

Cameron picked two pairs of shorts and three T-shirts’ for a weekend trip. What are some combinations of shirts and shorts that Cameron can wear while on his trip? How many days will he have a different outfit to wear?

Answers

Answer:

Step-by-step explanation:

(yellow shirt, green shorts),

(yellow shirt, blue shorts),

(white shirt, green shorts),

(white shirt, blue shorts),

(orange shirt, green shorts),

(orange shirt ,blue shorts)

There is six options so he will have six days to wear different outfits. pls give brainliest, im new.

Select the three inequalities that have n = 3 in the solution set
A. n + 5 < 9
B. 13 n < 1
C. 3n + 1 >7
D. 3n > 9.5
E. n-2<5

Answers

Answer:

Its just E

I'm sorry if I'm wrong

Answer: A, C, E

Solve for all the inequalitites.

n + 5 < 9

n < 9 - 5

n < 4

∴ n = 3 is a part of the solution set.

13n < 1

n < 1/13

∴ This definitely doesn't include n = 3.

3n + 1 > 7

3n > 6

n > 2

∴ n = 3 is part of the solution because n is larger than 2.

3n > 9.5

n > 9.5 ÷ 3

n > 3.16666666

∴ n = 3 is not part of the solution set.

n - 2 < 5

n < 5 + 2

n < 7

∴ n = 3 is a part of the solution set.

what are the values of AB and DE in parallelogram ABCD?

Answers

Answer:

AB equals 13 and DE equals 7.

Step-by-step explanation:

In a parallelogram, the opposite sides are equivalent, so AB will equal CD which equals 13. Based on this rule, you can infer that BC = AE + ED. Since BC equals 23 and AE equals 16, ED would be 7.

The solution is

The value of AB of the parallelogram is 13

The value of DE of the parallelogram is 7

What is a Parallelogram?

A parallelogram is a simple quadrilateral with two pairs of parallel sides. The opposite or facing sides of a parallelogram are of equal length and the opposite angles of a parallelogram are of equal measure

The four types are parallelograms, squares, rectangles, and rhombuses

Properties of Parallelogram

Opposite sides are parallel

Opposite sides are congruent

Opposite angles are congruent.

Same-Side interior angles (consecutive angles) are supplementary

Each diagonal of a parallelogram separates it into two congruent triangles

The diagonals of a parallelogram bisect each other

Given data ,

Let the parallelogram be ABCD

The value of side CD = 13

The value of side BC = 23

The value of side AE = 16

AD = AE + ED

And , Opposite sides are parallel in a parallelogram

Now , the value of side AB = CD

So , the value of side AB = 13

And , The value of side BC = AD

So , the value of AD = 23

AD = AE + ED

Substituting the values in the equation , we get

23 = 16 + DE

Subtracting 16 on both sides of the equation , we get

DE = 23 - 16

The value of side DE = 7

Hence , the value of side AB = 13 and value of side DE = 7

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