Find the center and radius of the circle x^2+y^2-10x-12y+45=0.

Answers

Answer 1

Answer:

The center is (5, -6) with a radius of r

Step-by-step explanation:

First put the equation in Standard Form for a circle:

(x + a)² + (y + b)² = r²

Now, Group the term

x² + y² - 10x - 12y + 45 = 0

x² - 10x + y² - 12y = - 45

Then, The x and y terms must be perfect squares

x² - 10x + 25 + y² - 12y + 36 = - 45 + 25 + 36

add constant both sides we get,

x² - 10x + 25 + y² - 12y + 36 = 16

Now, Simplify

(x - 5)² + (y + 6)² = 16

√(x - 5)² + (y + 6)² = √16

x - 5 + y + 6 = 4

Here, (a,b) = (5, -6) and = 16, with r = 4

Thus, The center is (5, -6) with a radius of r

-TheUnknownScientist 72


Related Questions

which graph best describes the slope of the line in the graph? a) positive b) negative c) zero d) undefined
pleassseeeee

Answers

Ok, so you didn't put any picture to go along with the question but hey, thats ok because I can still help you.

In order for a graph to be positive, it has to be leaning to the right.

In order for a graph to be negative, it has to be leaning to the left.

In order for a graph to be zero, it has to be horizontal.

In order for a graph to be undefined, it has to be completely vertical.

You can look at the picture below if you still need help.

P.S. The picture with the yellow lines is the ones that are zero and undefined. The yellow line on the left is undefined, the yellow line on the right is zero.

A retailer plans to sell two models of earbuds at costs of $250 and 5400.
The $250 model yields a profit of $45 and the $400 model yields a profit of
$50. The retailer estimates that the total monthly demand will not exceed
250 units. Find the number of units each model that should be stocked in
order to maximize profit, given that the retailer is not investing more than
$70,000 in inventory

Answers

200 $ 250 earbuds and 50 $ 400 earbuds should be stocked.

Given that a retailer plans to sell two models of earbuds at costs of $ 250 and $ 400, and the $ 250 model yields a profit of $ 45 and the $ 400 model yields a profit of $ 50, and the retailer estimates that the total monthly demand will not exceed 250 units, to find the number of units each model that should be stocked in order to maximize profit, given that the retailer is not investing more than $ 70,000 in inventory, the following calculation should be performed:

250 x 250 + 0 x 400 = 62,500 200 x 250 + 50 x 400 = 70,000

Therefore, 200 $ 250 earbuds and 50 $ 400 earbuds should be stocked.

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What is the slope of the proportional relationship, and how can I graph it?

Answers

Answer:

I would say 5.2 .

Step-by-step explanation:

if I’m wrong, I’m sorry. If I’m right, mark me brainlest!

What is the experimental probability of spinning the given result? Round your answer to the nearest hundredth if necessary.

Outcome

A

B

C

D

Frequency

20

11

14

30



C

a.

0.14

c.

0.81

b.

1

d.

0.19

Answers

Answer:  Option 'c' is correct.

Step-by-step explanation:

Since we have given that

Number of times the spinner spun = 75

Outcomes     Frequency

A                          20

B                           11

C                           14

D                           30

We need to find the experimental probability of spinning an "A" :

so, Probability of spinning an A is given by

Probability of getting an A is 0.27.

Hence, Option 'c' is correct

please mark me brainiest i am almost an expert!!

B1
F
Ayesha plays hockey.
Last year Ayesha scored 8 goals.
This year Ayesha scored 13 goals.
Calculate the percentage increase
in for the number of goals
scored.

Answers

Answer:

60% Increase

Step-by-step explanation:

Ayesha scored 5 more goals over her previous goal count of 8.  That means:

(5/8) = 0.60 or 60% increase.

A 60% increase means a factor of 1.6 (1 + 0.6)

(8 goals)*(1.6) = 13 goals

Answer:

13 _18= 5

5/13×100%=38.46%

PLEASE I AM IN DESPERATE NEED OF HELP

Answers

Answer:

I think the 3rd one

Step-by-step explanation:

Hope its right

orignal price on a comb 0.99 discount 55%

Answers

Answer:

I think 5.45?  Sorry, not the best at math

Step-by-step explanation:

if you get a 55% discount off of 0.99 cents you pay 0.45 $

you're saving 0.54 $


Each batch of 24 cookies needs 2.25 cups of flour. If Stacy and her mom bake 3.5 batches, how much flour is
needed?
Show work !

Answers

Answer:

7 7/8 cups of flour

Step-by-step explanation:

2.25 times 3.5 equals 7.875

What is the equation of the line that passes through the point (-4,6) and has an undefined slope?

Answers

answer: x=-4

Explanation: it is undefined so it will be x=…

(34.23 x 2.3) + 432.15​

Answers

Answer:

The answer is 510.879

Step-by-step explanation:

Multiply parentheses first:

34.23×2.3=78.729

Add to 432.15

=510.879

1 Which of these expressions is equivalent to 32 + 48? A 8(4 + 8) B 16 (2 + 3) C 4(8 + 16) D 16 (16 + 32)​

Answers

Answer:

B)16(2+3) is equivalent to 32+48

How do you work out the problem x+3=4+x

Answers

Answer:

No solution

Step-by-step explanation:

Since both x's are positive, there's no way to put to x on either side, because when you transfer sides, you add/subtract the opposite, so there can't be a value for x

heather is a hairdresser and her customers pay $5 to reserve an appointment time and $12 for every hour heather works on their hair style.as back to school special she offers to lower her price per hour by $5 what equation represents the total amount paid to heather,y,after x hours of hair styling​

Answers

Answer:

y = 5 + 7x

Step-by-step explanation:

So 5 is going to be a constant factor. So Y is gonna equal 5 plus something. 12 dollars for every hour is 12x and there is a 5 dollar discount. 12-5 = 7 and so it is 7 dollars per hour.

So the total cost Y equal the constant 5 and 7x

Y = 5 + 7x

12 circles to 8 squares simplified is what

Answers

The ratio of circles to squares is 3:2 that means for every 3 circles there will be 2 squares all you have to do to find this answer is divide 12 and 8 by 4.

how many would juile see?

Answers

Answer:

12

Step-by-step explanation:

4*4*__=48

16*__=48

48/16=3

3*4=12

Answer:

12 boxes on the right side

Step-by-step explanation:

4 going across and 3 rows so 12 boxes

48 divided by 3 is 16 but divided by 4 is 12

since there are 16 boxes at the top its a good inference that there's

only 3 flat rows meaning per every flat there would be 4 boxes and 3 rows

there would be 12 boxes on the right side.

Which number is an integer?
-34 -0.4 0.4 3.4 PLS HELP I'M TIMED EDGE 2020

Answers

Answer:

Step-by-step explanation:         The four numbers:  - 34, -0.4, 0.4, 3.4

so if you look at it it  The answer is -34

Answer:

-34

Step-by-step explanation:

this is because an integer is a negative or positive whole number, and in this case, -0.4, 0.4 and 3.4 are decimal numbers

N/2-11<-7 solve the 2 step inequality

Answers

Answer:

N<6

Step-by-step explanation:

Add 11 to both sides then multiply by 2

Pls help I'm falling behind

Answers

this would be 2.7•10^5

Ivan is taking a 179 mile trip by car.If he drives for two hours with an average speed of 65 miles per hour, how many miles will he still need to drive to complete his trip?

Answers

Answer: 40 is the answer

Explanation: He is driving 65 miles an hour so 65+65=130 and you subtract that from 179, so 179-130 and it equals 40

Answer:

you should take notes

Step-by-step explanation:

why you should know this your teacher probally already taught you this already you should go back and take notes = )

What is the greatest common factor of 8, 28, and 48?

Answers

[tex] \: \: \: \: \: \: \: [/tex]

the GCF of 28,48 are

GCF OF 28

1 , 2, 4, 7, 14, 28

GCF OF 48

1 , 2, 3, 4, 6, 8, 12, 16, 24, 48

hope it helps

The greatest common factor of 8, 28, and 48 is 4.

Greatest Common Factor

The largest common factor out of all the numbers in the given set is known as Greatest Common Factor.

How to evaluate Greatest Common Factor?

Factors of 8, [tex]8=2\times 2\times 2[/tex]

Factors of 28, [tex]28=2\times 2\times 7[/tex]

Factors of 48, [tex]48=2\times 2\times 2\times 2\times 3[/tex]

The common factors in the above set of numbers are 2and 2.

So, the Greatest Common Factor of 8, 28, and 48 is  [tex]2\times 2=4[/tex].

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Which of the following sets of points are vertices of a right triangle?
O AC-1, 1), B(3,5), C(4, - 4)
O None of the other answers are correct
O A(-1, 3) B(-4, -3) C(-4,1)
O A(-1, -3) B(4, - 3), C(2, - 1)
A(-2, 2) B(1, - 4). C(4, 2)

Answers

Please find the picture for your triangle.We know, area of a ∆ = 1/2 × base × heightHere, base = ( 1 + 7 ) units = 8 unitsHeight = ( 7 - 1 ) units = 6 unitsTherefore, area of the ∆ = (1/2 × 8 × 6) square units= 24 square units.

Answer:

24 square units

Hope you can get an idea from it.

Carry on learning.

Doubt clarification - use comment section.

ABCD is a parallelogram. What is the measure of ∠ACD?

Answers

Step-by-step explanation:

Here

5x+16+7x-3+6x+5 = 180(being sum of triangle)

or, 18x=180-18

or, x= 162/18

so, x = 9

now,

here,

<ACD = <ACB(diagonals of parallelogram bisect eachother)

or, <ACD = 7x-3

or, <ACD = 7×9-3

or, <ACD = 63-3

So, <ACD = 60°

Harlene tosses two number cubes. If a sum of 8 or 12 comes up, she gets 9 points. If not, she loses 2 points. What is the expected value of the number of points for one roll? Negative two-thirds Negative one-sixth one-sixth Two-thirds.

Answers

We want to get the expected value for the given experiment, we will see that it is equal to -1/6 points, so the correct option is "negative one-sixth"

For an experiment with events {x₁, x₂, ..., xₙ}, each one with probability {p₁, p₂, ..., pₙ}, the expected value is given by:

EV = x₁*p₁ + ... + xₙ*pₙ

Here we have two events:

x₁ = she gets 9 points.x₂ = she loses 2 points.

Let's find the probabilities of each one of these.

She gets 9 points if the sum of the two dice is equal to 8 or 12.

Each dice has 6 outcomes.

Then a combination of two dice has a total of 6*6 = 36 outcomes.

The outcomes that add to 8 or 12 are:

dice 1   dice 2  sum

2           6            8

3           5            8

4           4            8

5          6             8

6           2            8

6           6            12

So 6 out of the 36 outcomes, then the probability of this event is:

p₁ = 6/36 = 1/6

And the other event is for all the other outcomes, so the probability is just:

p₂ = 5/6

Then the expected value is:

EV = (+ 9 points)*(1/6) + (-2 points)*(5/6)  = -1/6 points.

So the correct option is negative one-sixth.

If you want to learn more about expected value, you can read:

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Answer:

-1/6

Step-by-step explanation:

If IK and LN are parallel lines and M

Answers

Answer:

40°

Step-by-step explanation:

Both angles are opposites so together they equal 180.

180 - 140 = 40

I hope this helps!!

The measure of angle IJM is 40°.

What are Angles?

Angles are the figure formed by the intersection of two lines or rays by sharing a common point. This point is called the vertex of the angle.

Angles are usually measured in degrees or radians.

Given are two parallel lines IK and LN.

From the figure, OH is a transversal line that intersects the given parallel lines.

We have m ∠IJH = 140°

We have to calculate the measure of ∠IJM.

Since ∠IJH and ∠IJM are the pair of linear angles, the sum of their angles is 180°.

m ∠IJH + m ∠IJM = 180°

140° + m ∠IJM = 180°

m ∠IJM = 180° - 140°

m ∠IJM = 40°

Hence 40° is the measure of angle IJM.

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Select the correct answer.
Which equation best models the set of data shown in this table?
Х
0
2
4
6
00
8
10
12
14
16
18
11
19
у
27
35
37
40
44
45
48
52
OA. y = 11v– 0.3 + 4.3
OB.y = 1177 + 0.3 – 4.3
O c.
y = 23 + 17
OD. y = 2.3 – 17

Answers

Answer: The answer is B.

Explanation: The explanation is in the image.

Answer:

The correct answer is B. y=11 sqrt x+0.3-4.3.

Step-by-step explanation:

I got it right on the Edmentum test.

Shelly sleeps for 7 hours 30 minutes in a day. For how many hours did she sleep in the month of January?

Answers

Answer:

Shelly slept 232 hours and 30 minutes in the month of January

Step-by-step explanation:

31 days in January, so the equation will be

31 x 7.5  ( I wrote 0.5 because 30 minutes is half a day)

= 232.5 hours

Shelly slept 232 hours and 30 minutes in the month of January

Answer:

232.5 hours

Step-by-step explanation:

Well, the month of January has 31 days.

If shelly sleeps for 7.5 hours a day, and she sleeps 31 days, we need to do multiplication!

7.5*31=232.5 hours!

I need help with this please

Answers

Answer:

False

Step-by-step explanation:

Angle S is 6.75

Angle R is 6.8

Angle Q is 10.54

As a result, the answer is False since Angle Q is the greatest among the three angles and Angle S is least.

27.81 + (-13.97) please help

Answers

Answer:

13.84

Step-by-step explanation:

Answer:

13.84

Step-by-step explanation:

 im always here to help...

This recipe makes 6 pancakes. Sanjay follows the recipe but wants to make 30 pancakes. How much of each ingredient does he need? Recipe: Makes 6 135 g flour 1 teaspoon (tsp) baking powder 2 tablespoons (tbsps) sugar 130 ml milk 1 egg 2 tablespoons (tbsps) oil

Answers

Answer:

30 pancakes/6 pancakes = 5, so Sanjay needs to multiply the recipe by 5 (make batches of 6 pancakes 5 times for 30 pancakes in total)

flour: 135g*5=675g

baking powder: 1 tsp*5=5 teaspoons

sugar: 2 tbsps*5=10 tablespoons

milk: 130ml*5=650ml

eggs: 1 egg*5=5 eggs

oil: 2 tbsps*5=10 tablespoons

CAN SOMEONE HELP ME PLEASE ASAP!?

Answers

Answer:

27.2 ft

Step-by-step explanation:

similar triangles

51/90=x/48

x=27.2 ft

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