Convert the circle to standard form.
[tex] {9x}^{2} + {9y}^{2} + 18x + 9y - 36 = 0[/tex]

Answers

Answer 1

Answer:

(x + 1)² + (y + 1)² = (√6)²

Step-by-step explanation:

Group the x- and y- terms together:

9x^2 + 18x + 9y^2 + 9y = 36

Factor out the coefficient 9:

x^2 + 2x + y^2 + y = 4

Complete the square of x^2 + 2x and then do the same for y^2 + 2y:

x^2 + 2x + 1 - 1 + y^2 + 2y + 1 - 1 = 4

Rewrite x^2 + 2x + 1 as the square of the binomial x + 1:

(x + 1)^2 + (y + 1)^2 - 2 = 4

Collect the constant terms on the right side:

(x + 1)^2 + (y + 1)^2 = 6

Rewrite 6 as (√6)^2:

(x + 1)² + (y + 1)² = (√6)² is the equation in standard form (x - h)² + (y - k)² = r²

Completing the square is done as follows:  x^2 + 2x

Start with x^2 + 2x

1.  Take half of the coefficient of x, which results in 2/2, or 1

2.  Square this result and add it to, and subtract it from x^2 + 2x

     x^2 + 2x + 1 - 1

3.  Rewrite the first three terms as the square of a binomial:  

     x^2 + 2x + 1 - 1 = (x + 1)² - 1.

Do the same for y² + 2y.


Related Questions

Can anyone help me with this?

Answers

Answer:

307.5

Explanation:

First 65 x 10.50 then 990-682.5

HELP PLZ AGAIN. Same material. It is still timed. Will give 75 pts and brainly. This is vital to my math grade. Time is on the essence and my math grade is at stake if I do not pass this. I need Slope Intercept form for the equation. HELP HELP HELP PLZ.

Answers

Answer:

m= (-9+5)/5-3

Step-by-step explanation:

I just learned this and the equation is

m=(y2-y1)/x2-x1

so good luck brotha

Answer:

b(y-intercept)=(0,1) and M(slope)=-2

Step-by-step explanation:

use the slop formula and the slope intercept form to find the slope and y intercept. slope -2. y-intercept (0,1)

with that information, the equation would be y=mx+b. y=-2x+(0,1)

simplify √7/18 please help

√14/7

√14/6

√6/14

Answers

Answer:

14/6

Step-by-step explanation:

I need help pleaseee​

Answers

Answer:

x is 103 cause it is opposite angles and y is 77 180-103 hope this helps you

Answer: x=103° y=77°

Step-by-step explanation:

Opposite angles are always the same so, as x is opposite to 103°, it would be 103° too.

To work out what y is you would have to do 180-103=77°. The reason why is because angles on a straight line always add up to 180° and you can see that 103° and y are on the same line.

Hope this helps :)

Can someone please help

Answers

Answer:

b

Step-by-step explanation:

it might be wrong tho-

Can someone help me with this? But also explain how they got the answer so I understand

Answers

Answer:

(4,2)

Step-by-step explanation:

So proportional means that it is the same rate. I believe it is (4,2) because from 4 to eight is 4 and from 2 to 6 is also 4 and there for it is proportional.

PLEASE GEOMETRY HELP WILL MARK BRAINLIEST!!!

Answers

Answer:

Step-by-step explanation:

⅔n - 5 = ⅓n + 7

⅓n = 12

n = 36

please help with my geometry & a step by step

Answers

Answer: 42.53

Step-by-step explanation:

iok so because we are give the two sides 19 and 14 from here we need to determine what they are concidered. 19 is on the hypotenuse, and 14 is on the adjacent. from this, we can use Soh cah toa, we are looking for h and a which gives us cah which is cosine, now we imput this into our calculator

Cos-1(14/19) this should then give you 42.53 :) hope this helps

plssss help meeee it's due today​

Answers

Answer: use math papa.com

Step-by-step explanation:

Question

Find the difference. Type your answer in standard form

[tex](5n - 2) - (3n - 8) \\answer = 2n + 6[/tex]

You have the option to deposit $6500 into an account that pays 3.25% interest, compounded quarterly OR to deposit your money into an account that pays the same interest rate but compounds continuously. Which option yields you more money after 5 years and how much more?

Answers

Answer:

Step-by-step explanation:

Plug in the giving information, P = 4000, r = 0.06, n = 4,

and t = 5.

Use the order or operations to simplify the problem. If the

problem has decimals, keep as many decimals as possible

until the final step.

FV = 5387.42  Round your final answer to two decimals places.

Kaylee and her friends are going into a bakery. How much would it cost to buy 1 donut and 5 cookies if each donut costs $2.00 and each cookie costs $1.25? How much would it cost to buy 11 donuts and 55 cookies if each donut cost \$d$d and each cookie cost \$c?$c?

I need the work as well

Answers

Answer:

$90.75

Step-by-step explanation:

$2 (for each donut) x 11 (the number of donuts they want

=22

Then

$1.25(for each cookie) x 55 (the number of cookie they want)

=$68.75 +$22

=90.75

Michelle wrote a total of 12 pages over 3 hours. How many hours will Michelle have to spend
writing this week in order to have written a total of 20 pages? Assume the relationship is
directly proportional.
hours

Answers

Answer:

5 Hours

Step-by-step explanation:

12/3 = 4 . 3/3 = 1

4,8,12,16,20

1,2,3,4,5

1 Hour = 4 Pages

2 Hours = 8 Pages

3 Hours = 12 Pages

4 Hours = 16 Pages

5 Hours = 20 Pages

What is the circumference of the following circle when diameter = 9 cm

Answers

Answer:

The answer is C≈28.27cm

Step-by-step explanation:

Using the formulas

C=2πr

d=2r

Solving for C

C=πd=π·9≈28.27433cm

Answer:

diameter of 9

radius 4.5

4.5 x 3.14= 14.13

ignore this- the other person got it right. I messed up and can't delete it. Sorry!

Find the value of x and y in the given parallelogram

Answers

Answer:

Step-by-step explanation:

9y-4 = 50

9y = 54

y= 6

9y-4+7x+xy = 180

9(6)-4+7x+6x= 180

54-4+13x = 180

13x+50 = 180

13x = 130

x = 10

I need help. Please give THE RIGHT ANSWER

Answers

the answer is in the pic

I need help on this homework

Answers

Linear, 4 is added each time.
Line 4
Explanation
Period

1. 2x - 8 when x = 3





2. 45 - (4 . y) when y = 5





3. 32 + 2g -7 when g = 4

Answers

Answer:

2(3)-8

=-2

45-4.5

=40.5

32+2(4)-7

=33

Answer:

1.x37

2.66y

3.59g

Step-by-step explanation:

so you divied and subtract

you do the same

but add for the last

Kendra washes windows in an office building. She washes 25 of the windows on Monday. She washes 13 of the windows on Tuesday. What fraction of the windows remain for Kendra to wash?

Answers

Answer:

4/15

Step-by-step explanation:

please help me I'm really behind​

Answers

Answer:

50.24

Step-by-step explanation:

4 = radius

To get the diameter you need to multiply the radius by two  4 x 4 = 16 use 3.14 =  3.14 x 16 =  50.24 THERE IS THE ANSWER!!!!

Catch up btw

Answer:

rtgfg

fdudh. just ucufjvivifiicuj. 8 coccucicciciu I o


What is the volume of the cone in the diagram

Answers

It would be 28 Correct me if wrong

what's a real world scenario that would use sine to solve?

Answers

Answer:

Radio waves, tides, musical tones, electrical currents

Sine and cosine functions can be used to model many real-life scenarios – radio waves, tides, musical tones, electrical currents.

What is the solution set for x > -1

Answers

Answer:

Whole number set

Step-by-step explanation:

x > -1 means grater than (-1)

x = {0 ,1,2,3 ......}

EXPLAIN YOUR WORK PLZ

AJ worked 48 hours last week. He earns $15.40 per hour plus overtime, at the usual rate, for hours exceeding 40 hours. What was his gross pay?
A $644.80
B$739.20
C$800.80
D$1,108.80

Answers

Answer:

D

Step-by-step explanation:

It will be $1,108.0 Because if you devide 40 by the hours, Plus the pay which is 15.40 You will get D

Rectangle A'B'C'D' is a dilation of rectangle ABCD.'
What is the scale factor?
Enter your answer in the box.
I need help ASAP!

Answers

Answer:

4 is your answer

Step-by-step explanation:

£250 in the ratio 3 : 5​

Answers

Answer:

Let 3x and 2x are divided into 250.

Step-by-step explanation:

3x + 2x = 250

⇒ 5x = 250

⇒ x =  = 50

∴ 3x = 3 × 50 = 150 and

2x = 2 × 50 = 100

Thus, the required numbers are 150 and 100.

solve the following equation -3(3 + 6b) = 36 +3b

Answers

Answer:

Exact Form:

b=-5/7

Decimal Form:

b=-2.142857

Mixed Number:

b=-2 1/7

PLS HELP DUE IN 5 MINS
Write an equation in slope intercept form for the line that passes through (-2,3) and is parallel to the graph of y=-3/4x+4

Answers

Answer:

When the equation parallel the graph then the measure of the equation is - 3/4

Then the equation is y=-3/4x+c

By using the point(-2,3)

[tex] y = \frac{ - 3}{4} x + c \\ 3 = \frac{ - 3}{4} \times - 2 + c \\ 12 = 6 + 4c \\ 4c = 6 \\ c = \frac{3}{2} [/tex]

Then the equation is

[tex]y = \frac{ - 3}{4} x + \frac{3}{2} [/tex]

Step-by-step explanation:

If you need any explanation in it or anything on math you can communicate with me on Whats on this number +201557831028 or in email or face or anything

Please Help ! ill give you brainlist pleaseeee i don't wanna fail I wanna make my mom proud please .

Answers

Answer: 1) 8x + 2 = 90 1a. 11 2. 13x-10= 133 2a. 11

Both solve for 11.

Step-by-step explanation: 1) they’re both the same measure so they equal each other

Subtract 2 from each side 8x = 88 and x is 11

13x - 10 = 133 they’re both the same measures so they equal each other.

Add 10 to both sides because it’s already negative and 13x = 143 and you get 11

Answer:

11 for both

Step-by-step explanation:

What are the distances from the point (x,y) to the focus of the parabola and the directrix, select two answers

Answers

Answer:

3,5

Step-by-step explanation:

axis

Solve for g
–0.3g + 2.86 = –7.41 − 8.2g

Answers

Answer:

g= -1.3

hope this helps

Answer:

g= -1.3

Step-by-step explanation:

Includes pics

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