How do you find the equation of the circle given center at (1,-3), and radius 10?

Answers

Answer 1

Answer:

note: all the twos are to the power

100=(x−1)2(y+3)

Step-by-step explanation:

Suppose the centre of the circle was at the origin (where the x axis crosses the y axis). Then the equation would be:

r2=x2+y2

The reason for this format is that the length of the radius (which is of fixed length) can be related to x and y by Pythagoras. However, the circle centre is not at the origin. It is at

(x,y)→(1,−3)

So we can mathematically make this work by 'theoretically' moving the actual centre to a new centre located at the origin.

Thus we would have:

r2=(x−1)2+(y−(−3))2

r2=(x−1)2+(y+3)2

But the radius is 10 so we have

(10)2=(x−1)2+(y+3)2

100=(x−1)2+(y+3


Related Questions

Solve the following equation for x give your answer in simplified form 1/4x +3y =8

Answers

x= 2 - 3/4y. if you do the equation, you would start by subtracting 3y from both sides. now you would have 1/4x= 8-3y. then you would divide both sides by 4, to get x= 2-3/4y.

hope this helps:)

factor the expression using the GCF 8x+20y= ( x+ y)

Answers

9514 1404 393

Answer:

  4(2x +5y)

Step-by-step explanation:

The variables x and y have no common factors. The coefficients 8 and 20 have a common factor of 4. So, the expression can be written ...

  4(2x +5y)

The answer is that the top comment is very correct so

a researcher is studying the effects of playing chess on memory improvement. he identifies 50 people who play chess and 50 people who do not. each of the 100 people is given a questionnaire designed to determine memory level. none of the 100 people who participated in the study knew they were part of a study. which statement is true.

Answers

Answer:

Observational study

Step-by-step explanation:

Just took the test

The half-life of a substance is the amount of time it takes for half of the amount of substance to decay. The half-life of a pesticide is 2 years. Initially there are 500 grams of pesticide. How much pesticide is left after 10 years? Round to the nearest hundredth.

Answers

Answer:

15.625 grams

Step-by-step explanation:

The decay is First order reaction

The half life of the first order reaction is given by

T(1/2)  = ㏑2/K

where K is the reaction constant for the first order reaction

T(1/2) = 2

2 = ln 2 /K

K = ln2/2

The equation of the first order reaction is given by

Kt = ln ([tex]\frac{Ro}{R}[/tex])

where

t = time = 10years

Ro = initial concentration

R = amount left after time t

upon substituting the values

[tex]\frac{ln2}{2}*10 = ln( \frac{500}{R})[/tex]

5ln2 = ln (500/R)

ln [tex]2^5[/tex] = ln (500/R)          (a*lnb = ln[tex]b^a[/tex])

[tex]2^5 = 500/R[/tex]

R = 500/32  = 15.625grams

Therefore the amount of pesticide left after 10 years is 15.625grams

Help me out plssss!!!!

Answers

Answer: m=6.2t, 148.8 miles

Step-by-step explanation:

to figure out the equation we do 93/15=6.2 and we make it into a equation which is m=6.2t. since we know the butterfly travels 6.2 per hour we do 6.2 x 24 = 148.8

sorry if it's wrong

How do I solve for x

Answers

22\10=(7x-1)\(3x+1)

66x+22=70x-10

4x-32=0

4x=32

X=8

The two right triangles below are similar. What is x,
the missing side length in triangle DEF?
10
3.75
12
9.75

Answers

Answer:

13/12 = x/9

Cross mulitply.

X=9.75

Step-by-step explanation:

Which expression can be used to determine 50% of 42? 42 minus 2 42 divided by 2 42 divided by 10 42 minus 10

Answers

Answer:

We know that 50% of 42 will be = 21

i.e. 50% of 42 = 50/100 = 21

The correct answer should be: 42 divided by 2

Step-by-step explanation:

We know that 50% of 42 will be = 21

i.e. 50% of 42 = 50/100 = 21

Also, when we divide 42 by 2, we get the answer 21.

i.e. 42/2 = 21

Therefore, the correct answer should be: 42 divided by 2

Answer:The Answer is b

Step-by-step explanation: i did this the other guy can get brainlyest.

Have a nice day! :D

If u are at a store and the original price of a product is $28.95 and the sales tax is %6.5 what is the final price

Answers

Answer:

$30.83

Step-by-step explanation:

Before Tax Price: $28.95

Sale Tax: 6.50% or $1.88

After Tax Price: $30.83

Hope this helped :)

Answer:

$30.83

Step-by-step explanation:

[tex]x^2+8x+11=0[/tex]

Answers

Answer : what’s the question ?
If you are looking for it to be solved in quadratic equation then it is x=−4±√5

9: The perimeter of a rectangle is 46 m. The width of the rectangle is 2 more than half the length. Find the length and the width of the rectangle.​

Answers

Answer:

our width is 9 and our length is 14

Step-by-step explanation:

need of help please!!!
Michelle wants to start saving for a new car. She has $500 already saved and she plans to save an additional $50 per month.

What kind of pattern do we see in this scenario? She plans to save $50 each month. For each month that goes by.

Michelle will increase her total savings by $ ____

Answers

Answer:

I believe the pattern is linear and for each month that goes by she earns $50

For each month that goes by, Michelle will increase her total savings by $50

How to describe the pattern?

The given parameters are:

Initial balance = $500

Savings = $50 monthly

This means that at the end of every month, her savings increases by $50.

This kind of pattern is a linear pattern

Read more about linear pattern at;

https://brainly.com/question/2097266

#SPJ6

PLEASE HELP ASAP
Louis earns a base monthly salary of $1,200 with 5% commission on sales. For a month with $25,000 in sales, what are Louis's total earnings?

Answers

Answer:

$2,450

Step-by-step explanation:

Since Louis earns 5% commission on sales, multiply the sales by 0.05:

25,000 × 0.05 = 1,250

Add that to the base salary:

1,250 + 1,200 = 2,450

Hope this helped!

1 Find the area of the Circle below: Чcm​

Answers

Answer:

A≈50.27

Or 16π

Step-by-step explanation:

Answer:

50.24cm

Step-by-step explanation:

Please help me with this question

Answers

Answer:

120

Step-by-step explanation:

Find the equation of the axis of symmetry of the following parabola algebraically.
y=-3x^2-6
y=−3x
2
−6

Answers

I have no idea sorry
Find the equation of the axis of symmetry of the following parabola algebraically.
y=-3x^2-6
y=−9x-6

A group of 5 friends ate lunch at a restaurant. The bill came to $42 and the friends agreed to split it equally. Which expression represents the number of dollars each person paid?

A.
42−5

B.
425

C.
5×42

D.
542

Answers

Answer:

c would be the right and its the best answer

Could someone help me with this?

Answers

Answer:

4

Step-by-step explanation:

m = 4

6th grade math help me pleaseeee

Answers

Answer:

-27

Step-by-step explanation:

10. What is the value of x in the solution to the system of equations?
x – 2y = 7
3x + 2y = 21
+/-

Answers

Solve for x in first equation:

x-2y=7

Add “2y” to both sides

x=2y+7

Put this in to second equation:

3(2y+7)+2y=21

Solve for y:

Distribute the 3 into the ()

6y+21+2y=21

Combine the like y terms

8y+21=21

Subtract 21 from both sides

8y=0

Divide by 8 on both sides

y=0

Put this into the first solved equation:

x=2(0)+7

Solve for x:

Multiple 2(0)

x=0+7

Add 0 and 7

x=7

So the value of x is positive 7.

30 greater than 1/2ₓ

Answers

Answer: True.

Step-by-step explanation:

The answer is : true
Good luck
God bless you

can someone tell me how to do this????

Answers

Question: Reflective symmetry over y = (3/5)x ?  

Answer:  No

-------

Question: Reflective symmetry over y = (5/3)x ?  

Answer:  No

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

Explanation:

For any parallelogram that's a square, we'll have four lines of symmetry: The two diagonals and two extra lines of symmetry for the opposite pairs of sides.

In this case, we don't have a square (we can prove this by finding the lengths of each side of the parallelogram), so we move on.

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

If the parallelogram is a rectangle, then we'll have two lines of symmetry: one for each pair of opposite sides.

However, we don't have a rectangle either. We can prove this by finding the slopes of the blue lines of the parallelogram, and finding they are not perpendicular slopes.

So we move on.

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

The last case is a parallelogram that isn't a rectangle. So it's not a square either. That's what we have here. For parallelograms of this nature, there are no lines of symmetry. We cannot fold it along any line to have it match up with itself.

So that's why the answer is "no" to both of these questions.

Answer:

No and No.

Step-by-step explanation:

11
Find the arc length of the semicircle.
Either enter an exact answer in terms of toruse 3.14 form and enter your answer as a decimal
units
Show Calculator

Answers

Answer

The arc length of the semicircle is  5[tex]\pi[/tex] units or 15.7[tex]\pi[/tex] units

The arc length of the semi-circle will be equal to 11π.

What is the arc length of a semicircle?

The arc length of the semicircle is defined as the length of the curved path of the circle.

The arc length will be calculated as follows:-

Arc = π x r

Arc = π x 11

Arc = 11π

Therefore the arc length of the semi-circle will be equal to 11π.

To know more about the arc of the circle follow

https://brainly.com/question/2005046

#SPJ2

Solve this math problem first you get a free crown!

13/19 - (-1/9)
A. -12/19
B. -14/19
C. 14/19
D. 12/19

Answers

Answer:

C. 14/19

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

Could I have crown...? Trying to level up....

how to do my homework in math

Answers

Answer:

By doing it

Step-by-step explanation:

LOL

What is an equation of the line that passes through the point (6,-4) and is perpendicular to the line 2x-y=5​

Answers

2x+y=8

this equation is perpendicular to 2x-y=5 and passes through the point (6,-4)

identify and measure six items in the home that are measured in imperial units ​

Answers

Answer:

Step-by-step explanation:

1. a 12 inch ruler

2. a set of measuring spoons (tablespoon, teaspoon ...)

3. a measuring cup that is calculated in pints and quarts not the cup defined by a liter.

4. Though not in the home, an imperial gallon is larger than the American gallon and a liter is smaller than the imperial quart.

5. A cup for a cup of copy is sometimes an imperial cup.

How do you do this ? Need some help ASAP!

Answers

Answer:

On what

Step-by-step explanation:

Someone did something stupid in the other question

Answers

Answer:

[tex]m=-2[/tex]

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Algebra I

Slope Formula (Rate of Change): [tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]

Step-by-step explanation:

Step 1: Define

Find points from graph.

Point (-1, 0)

Point (-3, 4)

Step 2: Find slope m

Substitute:                    [tex]m=\frac{4-0}{-3+1}[/tex]Subtract/Add:               [tex]m=\frac{4}{-2}[/tex]Divide:                          [tex]m=-2[/tex]

Answer: i see you got the answer already, but I was wondering if you could give me brainliest to help me level up. I would really appreciate it.

Step-by-step explanation:

IMPORTANT!!!


Combine Like Terms. 2 + 3
a. 8x
b. 16x
c. 5x

5. Combine Like Terms. 9 + 4 + 4
a. 13x+4
b. 93x+2
c. 12x+4

Answers

C & A I believe because 2+3 is 5 so that’s 5x
Other Questions
Ramon earns $1,625 each month and pays $53.80 on electricity. To the nearest tenth of a percent, whatpercent of Ramon's earnings are spent on electricity each month?Ramon spends% of his earnings on electricity each month. What is the difference between a saturated solution and an unsaturated solution? I NEED HELP ASAP IN THE PICTURE ABOVE A telephone marketer earns a 14% commission on their sales each week. In one week, their sales amounted to $920.1aFirst, find 10% of their total sales. Read the sentence.Anish is researching the history of the Olympics and finds a government report that has information he can cite in his essay.This type of source is consideredan academic source.an internal source.a popular publication source.a news publication source. what city is most likely to be a desert climate? (B, E or D)what climate factor makes the city so dry? How are SAE programs expanded and/or diversified? Luis uses 1.6 liters of gasoline each hour he spends mowing lawns. How much gas does he use in 5.8 hours?can someone please help me? I'm really not a fan of the subject math, and I'm currently struggling and my math grade isn't good at the moment AND grade book closes next week friday :( What determines a persons independence? You have 0.672 L of 4.78 M aqueous AlCl3 solution in a glass. If you gently heat the solution until only 0.380 L is left, what is the new molarity of the AlCl3 solution? if 4(x-1)=8(x-2),then x= What are ionic compounds The answer. X=7 Ik that What is a transgenic organism?A an organism that is an exact cloneB an organism that has no dna C and organism that has a mixture of dnaD an organism with dna from another organism Miguel bought a shirt for $13.95, a pair of pants for $16.87, and a hat for $7.79. What was the total amount of money Miguel spent? please help meeeeeeeeeeee SERIOUS ANSWERS ONLY PLEASE!Compare and contrast the terms culinary precisions and culinary definitions. How do either of these terms relate to molecular gastronomy? Use specific examples to illustrate your explanations.Is molecular gastronomy an important advancement in the culinary arts that will stick around for the long haul or a trend that will quickly fade? Why? Explain your answer.As you learned in the unit, molecular gastronomy explores the chemical reactions that take place during cooking. What are some examples of these chemical reactions? Briefly explore this concept further with some online research. Then, use both the information from the unit and what you find online to compare and contrast the different chemical reactions and their impact on the foods they are in. Compare and contrast at least two different chemical reactions and explain.Imagine that you are an entrepreneur interested in opening a baking business. What lessons could you take away from the story of Crumbs Bakery? How would these help your potential baking business venture? Explain.Why do you think that the cake pop has not become as popular as the cupcake? Explain your reasoning. A .cache is made up of _____ , each of which stores a block along with a tag and possibly a valid/dirty bit Question 9 of 10A person with obsessive-compulsive disorder:A. will often try to overcome the feeling of hopelessness..B. cannot help being afraid of certain things.C. needs to take medication in order to feel happy again.D. repeats actions and thoughts even though the person may realizethat they make no sense.SUBMIT Is the following not a function ?