Find the center of the circle given by this equation:

Find The Center Of The Circle Given By This Equation:

Answers

Answer 1

Answer:

center is (5,3)

Step-by-step explanation:

[tex]x {}^{2} - 10x + y {}^{2} - 6y - 30 = 0 \\ x {}^{2} - 10x + y {}^{2} - 6y = 30 \\ add \: \: \: 25 \: \: and \: \: 9 \: oneach \: side \: to \: make \: perfect \: square \\ x {}^{2} - 10x + 2 + y {}^{2} - 6y + 9 = 25 + 30 + 9 \\ (x - 5) {}^{2} + (y - 3) {}^{2} = 64 \\ (x - 5) {}^{2} + (y - 3) {}^{2} = 8 {}^{2} [/tex]


Related Questions

which expression is equivalent to 35m2-63

Answers

An expression is formed of numbers, variables, and mathematical operations. The expression that is equivalent to 35m²-63 is 7(5m²-9).

What is an Expression?

In mathematics, an expression is defined as a set of numbers, variables, and mathematical operations formed according to rules dependent on the context.

Given the expression 35m²-63, which can be written as,

[tex]35m^2-63\\[/tex]

Taking 7 as common from both the terms,

[tex]= 7(5m^2-9)\\[/tex]

Hence, the expression that is equivalent to 35m²-63 is 7(5m²-9).

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Natalie just rented an apartment for $900 a month for the first year. She was told that the rent will increase by $50 each year. About how much will her rent be in the 7th year

Answers

Answer:

The correct answer is $75,900.

Step-by-step explanation:

find the rule
5. 11
6. 13
8. n
10. 21​

Answers

Answer:

n = 17

Step-by-step explanation:

Method 1

The difference between the 5th and 6th terms is 13 - 11 = 2

Therefore, the next term can be found by adding 2 each time.

If we continue with this sequence, we get:

5 = 11

6 = 13

7 = 13 + 2 = 15

8 = 15 + 2 = 17

9 = 17 + 2 = 19

10 = 19 + 2 = 21

So n = 17

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

Method 2

Arithmetic sequence

General form of an arithmetic sequence: [tex]a_n=a+(n-1)d[/tex]

where:

[tex]a_n[/tex] is the nth terma is the first termd is the common difference between terms

Given terms of the sequence:

[tex]a_5=11\\a_6=13\\a_8=n\\a_{10}=21[/tex]

The common difference can be found by subtracting one term from the next term:

[tex]d=13-11=2[/tex]

To find a, substitute the found value of d into the equation for one of the given terms:

[tex]\begin{aligned}a_5 =a+(5-1)2 & =11\\ a+8 & =11\\ a & = 3\end{aligned}[/tex]

Therefore, the formula to find the nth term is:

[tex]\implies a_n=3+(n-1)2[/tex]

[tex]\implies a_n=2n+1[/tex]

So, the 8th term is:

[tex]\implies a_8=2(8)+1=17[/tex]

Lets form a equation

(5,11)(6,13)

Slope:-

m=13-11/6-5=2

Equation:-

y-11=2(x-5)

So

Put x=8

n-11=2(8-5)n-11=2(3)n-11=6n=17

Choose the factor pairs of 25.
1 and 25, 3 and 10, 5 and 6
1 and 25, 3 and 9
1 and 25, 2 and 11
1 and 25, 5 and 5
anyone also want to be friends?

Answers

Answer:

1 and 25, 5 and 5, and i'll be ur friend ^w^

Step-by-step explanation:

5 and 5 is the only mutiplication beside one to get to 25, and i can be ur friend ^w^

The equation of line p is y+7= – 1/2 (x–5). Line q is parallel to line p and passes through (4,8). What is the equation of line q? Write the equation in slope-intercept form. Write the numbers in the equation as simplified proper fractions, improper fractions, or integers.

Answers

Answer:

y = -1/2 x + 10.

Step-by-step explanation:

The line q has the same slope (-1/2) as line p as the 2 lines are parallel.

Equation of the line q:

y - 8 = -1/2(x - 4)

y - 8  = -1/2x + 2

y = -1/2 x + 2 + 8

y = -1/2 x + 10.

What is the relationship between the radius and the diameter?

Answers

Step-by-step explanation:

The radius of a circle is half of the diameter. The diamter is a straight line from one end of the circle to the other which must intersect the origin.

in a circle the radius is half the length of its diameter or in other words in a circle the diameter is twice the length of its radius.

have a great day!

Solve the following....
[tex]5x+3y=7\\3x-5y=-23[/tex]

Answers

[tex]\qquad\qquad\huge\underline{{\sf Answer}}[/tex]

let's solve ~

The given equations are :

[tex]\qquad \tt \dashrightarrow \:5x + 3y = 7 \: \: \: \: \: \: \: \: \: \: \: \: - (1)[/tex]

and

[tex]\qquad \tt \dashrightarrow \:3x - 5y = - 23 \: \: \: \: \: \: - (2)[/tex]

Now, let's multiply equation (1) by 5 and equation (2) by 3 ~

we will get the results as :

[tex]\qquad \tt \dashrightarrow \:25x + 15y = 35 \: \: \: \: - (3)[/tex]

[tex]\qquad \tt \dashrightarrow \:9x - 15y = - 69 \: \: \: - (4)[/tex]

Now, add equation (3) and (4) :

[tex]\qquad \tt \dashrightarrow \:25x + \cancel{ 15y} + 9x - \cancel{15y }= 35 + ( - 69)[/tex]

[tex]\qquad \tt \dashrightarrow \:34x = - 34[/tex]

[tex]\qquad \tt \dashrightarrow \:x = - 1[/tex]

Now, since we got the value of x, let's evaluate y~ by using equation (1) :

[tex]\qquad \tt \dashrightarrow \:5x + 3y = 7[/tex]

[tex]\qquad \tt \dashrightarrow \:5( - 1)+ 3y = 7[/tex]

[tex]\qquad \tt \dashrightarrow \:3y - 5 = 7[/tex]

[tex]\qquad \tt \dashrightarrow \:3y = 12[/tex]

[tex]\qquad \tt \dashrightarrow \:y = 4[/tex]

Hence, value of y is 4

I hope you understood the whole procedure ~

Hello ~

My name is Irxdscent, and I will be answering your question today! :D

[tex]\sf{5x \: + \: 3y = 7}[/tex]

⇢ Explanation :-

Subtract [tex]\bold{\underline{3y}}[/tex] from both sides.

        [tex]\bold{5x \: + \: 3y \: - \: 3y = 7 \: - \: 3y}[/tex]

Simplify

        [tex]\bold{5x = 7 \: - \: 3y}[/tex]

Divide both sides [tex]\bold{\underline{5}}[/tex]

        [tex]\bold{\frac{5x}{5} = \frac{7}{5} \: - \:\frac{3y}{5}}[/tex]

Simplify

        [tex]\bold{x =\frac{7 \: - \: 3y}{5}}[/tex]

[tex]\sf{3x \: - \: 5y = -23}[/tex]

⇢  Explanation :-

Add [tex]\bold{\underline{5y}}[/tex] to both sides.

        [tex]\bold{3x \: - \: 5y \: + \: 5y = -23 \: + \: 5y}[/tex]

Simplify

        [tex]\sf{3x = -23 \: + \: 5y}[/tex]

Divide both sides by [tex]\bold{\underline{3}}[/tex]

        [tex]\bold{\frac{3x}{3} = -\frac{23}{3} \: + \: \frac{5y}{3}}[/tex]

Simplify:

        [tex]\bold{x = \frac{-23 \: + \: 5y}{3}}[/tex]

Hope It Helps! ~

~ Learn With Lrxdscent ~

[tex]\underline{Answer :}[/tex]

ɪ ʀ x ᴅ ꜱ ᴄ ᴇ ɴ ᴛ

What is the slope of the line below

Answers

Answer:

y=.5x+1.5

Step-by-step explanation:

The slope is .5

17 The price of a game console that regularly
sells for $800 is
reduced to $616. By what
percentage is the price reduced?
A
23%
C
77%
B
30%
D
25%

Answers

Answer:

A

Step-by-step explanation:You can use a calculator also 1% of 800 is 8 .So  multiply 20 by 8 which is 160 and 8 times 3 is 24 and 160 plus 24 is 184.

Answer: 223%

Step-by-step explanation:

Deduct 616 from 800 to get the amount reduced. 800-616=184

184/800=0.23

convert to a percentage by multiplying by 100

A coin is flipped three times, and the following list shows the possible outcomes.

HHH, HHT, HTH, HTT, THH, THT, TTH, TTT

How many outcomes include exactly one head?

Enter your answer as a number, like this: 42

Answers

Answer:

3 outcomes

Step-by-step explanation:

question asks only 1 head therefore THT, TTH, HTT

What is the solution to the system of linear equations graphed below?

Answers

Answer:

x = 0.5

y = 4

Step-by-step explanation:

Find the point of intersection.

Find p(b|c). p(b|c) = startfraction 9 over 34 endfraction = 0.26 p(b|c) = startfraction 9 over 24 endfraction = 0.38 p(b|c) = startfraction 9 over 70 endfraction = 0.13 p(b|c) = startfraction 9 over 58 endfraction = 0.16

Answers

The expression P(B|C) is an illustration of probability, and the value of P(B|C) is 0.38

How to determine the value of the probability expression?

From the question, we have the following highlights:

n(B and C) = 9

n(C) = 24

The equation to calculate the probability expression is:

P(B|C) = n(B and C)/n(C)

Substitute known values

P(B|C) = 9/24

Evaluate the expression

P(B|C) = 0.38

Hence, the value of P(B|C) is 0.38

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Answer:

the second one

Step-by-step explanation:

i just did  the assignment

A marksman fires at a target and the ratio of hits to misses is 11:4. He fires 90 times. How many hits does he score?​

Answers

Answer:

66

Step-by-step explanation:

11 + 4 = 15

90 / 15 = 6

6 * 11 = 66

Gloria is painting a wall in her bedroom. The dimensions of the wall measure 14 feet by 11 feet.
The gallon of paint that she purchased will cover 400 square feet. Does she have enough paint
to do two coats on the wall? Justify your answer.

Answers

Answer:

yes she does

Step-by-step explanation:

14*11=154

for 2 coats you need twice that which is 308 square feet

she purchased enough paint to cover 400 square feet so she would have plenty of paint to do 2 coats

In a lab experiment, the decay of a radioactive isotope is being observed. At the beginning of the first day of the experiment the mass of the substance was 1400 grams and mass was decreasing by 12% per day. Determine the mass of the radioactive sample at the beginning of the 8th day of the experiment. Round to the nearest tenth (if necessary).

Answers

Answer:

572.1 gm   will be left

Step-by-step explanation:

seven  days of decay to find how much is still there on the 8th day

1400 ( 1 - .12)^7 =

please help im so confused

Answers

Answer:

X=35

Step-by-step explanation:

all angles on a straight line equal 180 degrees

there fore the equation for x will be,

180= 40+(2X+30)+40

180=40+ 2X +30+40

180 =2X+110

180-110=2X

70=2X

70/2=X

35=X

The correct answer would be X=35 hope this helps!

A movie distributor found that the relationship between the amount it spends on advertisements for a particular movie and the amount of money the movie takes in can be modeled by the equation y = 1.2x + 24, where x is the amount spent on advertisements in millions of dollars and y is the amount taken in by the movie in millions of dollars. According to the model, how much should the movie distributor spend on advertisements if it wants the movie to take in $36,000,000?

A $10,000,000

B $20,000,000

C $30,000,000

D $50,000,000

Answers

Answer:

i believe the answer is B, im not 100% though

Step-by-step explanation:

Mila invested $82,000 in an account paying an interest rate of 4 % compounded
annually. Chase invested $82,000 in an account paying an interest rate of 5%
Compounded quarterly. To the nearest dollar, how much money would Mila have in
her account when Chase's money has tripled in value?

Answers

Answer:

Step-by-step explanation:

Consider the problem: 1/2 ÷ 5. Which model correctly represents this expression? How do you know?

Answers

Answer:

[tex]\frac{1}{10}[/tex]

Step-by-step explanation:

Solve the equation. Simplify all irrational solutions. x^2-9x

Answers

Answer:

x(x−9)

Step-by-step explanation:

x2−9x

=x(x−9)

Consider the following incomplete deposit ticket where "x" represents an unknown number: a deposit ticket. the amounts deposited were 520 dollars and 15 cents, 57 dollars and 68 cents, 40 dollars and 25 cents. the cash received was 213 dollars and 51 cents. the total deposited is 498 dollars and 1 cent. how much did kay deposit in cash and coins? a. $404.57 b. $213.51 c. $93.44 d. $284.50

Answers

The net amount that was deposited  by Kay both  cash and coins is $284. 50.

What is the net amount ?

The can be explained as difference between total deposited and the cash received.

This can be expressed as[ total deposit- total cash received]

Since the  total deposited = 498 dollars and 1 cent.

This can be converted to dollar as[tex]( $498.01)[/tex]

The amount received is 213 dollars and 51 cents.

This can be converted to dollar as  ($213.51)

Therefore, Net amount [tex]= [498.01 - 213.51]=$284.5[/tex]

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Answer: C. 93.44

Explanation:

I just got a 100 on edge

What is the answer
1^32

Answers

Answer:

1^32=1

Step-by-step explanation:

The answer to the question is 1

What were the factors that led Germany to agree to an armistice?


The military situation was turning against the Germans.
Wilson's 14 points gave Germany hope for a fair peace.
Russia had successfully launched a new offensive.
German allies had withdrawn.

Answers

Answer:

A, C, D

Step-by-step explanation:

Germany was losing WW1, even though they were the 3rd country to be in it.  Russia was starting to conquer back lost land, the Ottoman Empire had fallen, Austria-Hungary had surrendered.  The Germans were at a loss, so they had to surrender.

Ed buys a box of eggs costing £1.90, two packs of bacon for £3.10 each and two tins of baked
beans.
He pays with a £10 note and gets 50p change.
How much does a tin of beans cost in pounds

Answers

Answer:

tin of beans = .70 pound

Step-by-step explanation:

 10 =  1.90  + 2 * 3.10  +  .50   + 2b

b = .70

The area of the figure is
square units.? (HELP NOWWW) (PLS AND TY!!)

Answers

Answer:

I think it's 50....

Step-by-step explanation:

I added 21 for the base plus 9 for one side, 8 for the other side plus another 9 for the top and added 3

So 21 + 9 + 8 + 9 + 3 = 50

I hope it's right

classify the following random variables as Discrete or Continuous

1Shoe size
2foot length
3Students in a class
4distance travelled to school
5children per family
6the height of a horse
7the number of TV sets in a home
8time to complete a task
9the outdoor temperature at noon
10the speed of a car on route 3​

Answers

. Answer:
1 discrete
2 continuous
3 discrete
4 continuous
5 discrete
6 continuous
7 discrete
8 continuous
9 continuous
10 continuous

PLEASE CHOOSE CORRECT OPTION AND WITH EXPLANATION 25 POINTS

Answers

Answer:

  B.  (x, y) ⇒ (x, -y)

Step-by-step explanation:

When a point is reflected over the x-axis, it is moved along a vertical line to the same distance on the other side of the x-axis.

The x-coordinate of a point identifies its distance from the y-axis--the vertical line it is on. The y-coordinate identifies its distance from the x-axis. Changing the sign of the y-coordinate moves the point to the same distance on the other side of the x-axis--reflecting it over the x-axis.

__

The given points ABC and A'B'C' all match the pattern ...

  (x, y) ⇒ (x, -y)

  A(-1, 7) ⇒ A'(-1, -7)

  B(6, 5) ⇒ B'(6, -5)

  C(-2, 2) ⇒ C'(-2, -2)

so the image points represent a reflection over the x-axis of the original points.

Calculate your monthly payments and total amounts paid. Use the formula for loan amortization below to figure out how much each payment will be. “Amortization” means paying off the loan in a series of equal installments. You’ll need to know the amount of the loan, the monthly interest rate, and the number of months you’ll be making payments in order to make the calculation.
A=P*(r(1+r)^{n})/((1+r)^{n}-1).

1) A=46,998(6.75(1+6.75)^{36}/((1+6.75)^{36}- 1)
2) A=46,998(4.75(1+4.75)^{48}/((1+4.75)^{48}- 1)
3) A=46,998(5.99(1+5.99)^{48}/((1+5.99)^{48}- 1)

Thank you in advance!!!

Answers

1 because ya I know it is right sorry if it’s not

Jack bought 5 pounds of halloween candy. he gave out 3 pounds of the candy to trick or treaters and ate 10 ounces of the candy . how many ounces of halloween candy does jack have left

Answers

Answer:

1 pound 6 ounces

Step-by-step explanation:

The average daily inchworm moves foot in 10 seconds. At this current rate, how long
will it take an earthworm to move 24 inches? Show your calculations. (Give your answer
in seconds)
ve won to anolleo I no slim as
os asb 'TOL
anonicolso to wore on Del 6

Answers

Answer:

20 seconds

Step-by-step explanation:

1ft in 10 seconds = 12 in / 10 sec

to get 24 inches, or 2 feet, we simply multiply that by 2:

(12 in /10 sec) * 2

24 in /20 sec

Answer:

20 seconds!

Step-by-step explanation:

A foot is equal to 12 inches meaning you take 12 and divide it by 24 to get 2 meaning its 2 feet. and if it took 10 seconds for one foot, then it will take 20 seconds for 2 feet

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