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

Please please please please help me

Answers

Answer:

for # 1 the answer is B

for the second one i dont know

for the last one the answer is D

Step-by-step explanation:

Are the two flags similar? If so, which triangle similarity theorem did you use to make your conclusion?

Answers

Answer:

NO

Step-by-step explanation:

I THINK THE RIGHT ANSWER IS RHS THEOREM.

The bill at a restaurant is $32 before tax. The tax on the bill is 5%. How much is the final bill including tax?
O $30.40
O $33.60
o $37.00
O $48.00

Answers

Answer: $33.60(B)

Step-by-step explanation:

Short way:

100+5 = 105

Convert to decimal:

1.05

Multiply:

32(1.05) = $33.60

Answer: $33.60

Give the solution to the system

Answers

Answer:

f(x)=x+2g(x)=-1(x-4)

f(x) represents the red line

g(x) represents the green line

if the variable x = 1

1+2=-1(1-4)

3 = -1(1×(-3))

3 = -1×(-3)

3 = 3

How do I find central angle with coordinates (42.36,-71.06) (44.5,-73.11) in order (a,b) (c,d)

Answers

¿ SiNo no nosenkkknkkkkkk

A triangle has a perimeter of 13x-21 units. One side is 4x+3 units. The other side is 5x-8 units. Write an expression to find the missing side.

Answers

Answer:

4x - 16

Step-by-step explanation:

A triangle is a three sided polygon with three edges and three vertices. the sum of angles in a triangle is 180 degrees

the perimeter of a triangle = sum of the side lengths

let the unknown length be represented with y

13x  - 21 = 4x + 3 + 5x - 8 + y

13x- 21 = 9x - 5 + y

Make y the subject of the formula

13x - 21 - 9x + 5 = y

4x - 16 = y

the side length = 4x - 16

how to graph 2x + 6y = -8

Answers

this is how this should help.

i need help ASAP ill give u brainliest ! WORTH 20 POINTS ! any silly guess gets reported

Answers

Answer:

for volume you multiple l*w*h so 2)432 4)1,216

The equation y= 1.56x + 8.36 models the approximate height of a tree in feet after x weeks. Which statements are true about the linear model? Select all that apply.

A. The plant grows a total of 1.56x feet.
B. The initial height of the plant is 1.56 feet.
C. The initial height of the plant is 8.36 feet.
D. The plant grows about 1.56 feet each week.
E. The plant grows about 8.36 feet each week.

Answers

Answer and Step-by-step explanation:

C. The initial height of the plant is 8.36 ft.

When you plug 0 in for x, we get the value of 8.36. When x is 0, that means that 0 weeks have gone by, thus the plant starts at a height of 8.36 feet.

D. The plant grows about 1.56 ft. each week.

We see that the number 1.56 is with the x, so for every week that goes by, the growth will be changed by 1.56, thus making the plant grow 1.56 feet each week.

#teamtrees #PAW (Plant And Water)

Amy’s dog weighs 14 pounds.

What is the dog’s weight in ounces?


30


64


210


224

Answers

Answer:

64

Step-by-step explanation:

thats all my answer...

Answer:

16 ounces in a pound

14 x 16= 224 ounces

SOMEONE !!! I’ll mark brainliest !!

Answers

Answer:

60

Step-by-step explanation:

45/9=5 an 12x5=60

jus trust

Answer:

60

Step-by-step explanation:

45÷9=5, and 5×12=60

I.e. he can buy 5 sets of 12 jars, which is 60 jars in total

PLSSSSSS HELPPPPP ASAPPPP

Answers

Answer:

I believe its C

Step-by-step explanation:

If you take the coordinates of each point then you will realize all of them went 1 unit up and 9 units to the left.

Yep pls ASAP


Fifufhucuwhhciw

Answers

Answer:

10 2 28

9 3 30

8 4 32

7 5 34

6 6 36

An isosceles triangle has an angle that measures 90 degrees. Which other angles could be in that isosceles triangle? Choose all that apply. (90), (45), (25), or (80)

Answers

Answer:

45°

Step-by-step explanation:

90 + 2(45) = 180

90 + 2(25) ≠ 180

90 + 2(80) ≠ 180

90 + 2(90) ≠ 180

Sean bought a laptop and a printer. He sold both items for £1,500 getting £1,300 just for the laptop. Sean made a 46% profit on the cost of the printer. What was the cost of the printer? Give your answer to 2 decimal places.

Answers

Answer: £137

Step-by-step explanation:

Since Sean sold both items for £1,500 getting £1,300 just for the laptop, the slave price of the printer will be:

= £1500 - £1300

= £200

Since we are informed that Sean made a 46% profit on the cost of the printer, the cost of the printer goes thus:

= £200 /(1 + Profit percent)

= £200 / (1 + 46%)

= £200 / 1.46

= £136.99

= £137 approximately

A dolphin jumps from the water at initial velocity of 16 feet per second. The equation h= -16t^2+80t models the dolphin's height at any given time, t. what is the maximum height the dolphin jumps?

a) 1 foot
b) 5 feet
c) 96 feet
d) 100 feet

Answers

Answer:

d) 100 feet

Step-by-step explanation:

The x value of the vertex (highest point in this case) is found via -b/2a:

-80/-32 = 2.5

Plug 2.5 into the function:

h(2.5) = -16(2.5)² + 80(2.5)

= - 100 + 200 = 100

You pick a card at random.
3 4 5 6
What is P(4)?
Write your answer as a fraction or whole number.

Answers

Answer:

im in paine from doing ixl so here is the answer its 1/3 bye

Step-by-step explanation:

paine

The required probability of picking a 4 from 3 4 5 6 is 1/4.

What is probability?

Probability is a measure of the likelihood or chance of an event occurring. It is a mathematical concept used to quantify the chance of a particular outcome or event happening, based on the total number of possible outcomes. Probability is usually expressed as a number between 0 and 1, with 0 indicating that an event is impossible, and 1 indicating that an event is certain to occur.

Here,
There are four cards in total, with one of them being a 4. Therefore, the probability of picking a 4 is:

P(4) = number of ways to pick a 4 / total number of cards

P(4) = 1/4

So the probability of picking a 4 is 1/4.

Learn more about probability here:

https://brainly.com/question/30034780

#SPJ2

help plz, will mark brainliest

Answers

Answer:

option c.........it should be tan(20)=x/15.035

Answer:

d

Step-by-step explanation:

Help plzzzzzzzzzzzzz

Answers

90 x 0.9 (90%) = 81 students

This means 81 students are enrolled in health.

Hope this helps :)

Answer:

OK

Step-by-step explanation:

Can someone pleaseee help me

Answers

Answer:6

Step-by-step explanation:

Vertical angle proof. 4x is equal to 24 so 24/4=6 and x is 6

A trader bought 20 cups of rice at 5 cups for 100 naira and sold them at 4 cups for 100naira . what was his profit

Answers

Answer:

He is making 20 naira profit for every 4 cups that he sells for 100 naira

Therefore, if he selled all this cups for 100 naira per 4 cups he made a total profit of 100 naira

Given right triangle HJK, which of the
following ratios is equivalent to cosH?

Answers

Answer:

cosH = JH/KH

Step-by-step explanation:

coa refers to base by hypotenuse

for H,

the base is JH and the hypotenuse is KH.

In the given right angled triangle cos H is equivalent to sin K

What is right angled triangle?

A triangle in which one of the interior angles is 90° is called a right triangle

Here,

Cos H =  Adjacent side / Hypotenuse = [tex]\frac{JH}{KH}[/tex]

In the given option

sin K = Opposite side / Hypotenuse[tex]=\frac{JH}{KH}[/tex]

Therefore Cos H is equivalent to the sin K

Hence, sin K is equivalent to the cos H

Learn more about right angled triangle here

https://brainly.com/question/3770177

#SPJ2

60 points!!! pls help

Answers

Answer:

im answering so the other guy can get brainliest...

hv a great day!!! :)

Step-by-step explanation:

PLEASE HELP 15 POINTS
Find m RS
S
(6x-28)
(4x+ 20)

Answers

Answer:

arc RS = 116°

Step-by-step explanation:

Since the 2 chords are congruent then their minor arcs are congruent, that is

SR = TU, substitute values

6x - 28 = 4x + 20 ( subtract 4x from both sides )

2x - 28 = 20 ( add 28 to both sides )

2x = 48 ( divide both sides by 2 )

x = 24

Then

arc RS = 6x - 28 = 6(24) - 28 = 144 - 28 = 116°

Write a function that represents the total cost of your family's outing to the soccer game after x hours.

Answers

Answer:

Please attach an image.

f(x) = (cost)x

Answer:

c=s*x

Step-by-step explanation:

C will be the total cost of our family's outing to the soccer game

While x will be the hours

and S will be the soccer game

So s*x will equal the cost

Making c=.

Hope this helps!

:D

the midpoint between -1/11 and 9/11



[tex]-\frac{1}{11}and\ \frac{9}{11}[/tex]

Answers

4/11


Hope this helps:):)

Answer:

4/11

Step-by-step explanation:

-1/11+9/11=8/11

mid=(8/11)/2

=4/11

There are 10 marbles in a bag : 5 red and 5 blue she draws a marble from the bag at random. The marble is red. She put the marble back into the bag. What is the probability that next marble she draws at random is red ?

Answers

Answer:

1/ 2

Step-by-step explanation:

Given that:

Number of marbles, = 10

Number of Red marbles = 5

Number of Blue marbles = 5

Probability, p = required outcome / Total possible

Probability of picking a red marble :

Required outcome = number of red marbles = 5

Total possible outcomes = total number of marbles = 10

Hence,

Probability of picking a red marble, P(picking a red marble) = 5 / 10 = 1/2

PLS HELP WILL GIVE BRAINLIEST TY

Answers

Answer:

A. x=3

Step-by-step explanation:

Write the number in the exponential form with an exponent of 3.... therefore x=3 that’s your answer

What is the total surface area??Please help me I’m so confused i have a test tomorrow

Answers

214 is the correct answer

Answer:

216 :)

Step-by-step explanation:

There are five sides in total. To find the total surface area we have to find the area of each side.

Let's start off easy with the rectangle at the base. The width and length are 7 and 6, which gives us an area of 42.

The rectangle with dimensions of 8 as the length and 7 as the width gives us an area of 56.

The rectangle with a length of 10 and a width of 7 gives us 70 as an area.

The two triangles are congruent, so all we have to do is find the area of one and multiply it by two. The formula for an area of a triangle is 1/2(bxh)-or the two legs multiplied by each other and then divided by 2. The length of one of the legs is 8, and the other is 6. That gives us 48, which we will then divide by 2 to give us a total area of 24. Now we have to multiply that by two because there are two triangle sides on this figure and they are congruent. That gives us a product of 48.

Now we add up all the areas of each side:

42 + 56 + 70 + 48 = 216

What is the answer to this??

How to solve the maze:
1. Start on the start space and complete the problem.

2. The answers are on the arrows but you have to choose the correct answer.

3. When the correct answer is chosen move to the next quest that the answer arrow is pointing to.

4. Complete answers as you go on until you reach the finish square!!

Please help me!! More points for solving.

Answers

Answer:

54, 32, 76, 72, 68, 29, 24,

Step-by-step explanation:

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