What is the center of the circle
2x^{2} +2y^{2}-4x+16y=128
A. (1, -2)
B. (1, 4)
C. (1, -4)
D. (-1, -2)
E. (-1, -4

Answers

Answer 1

Answer:

C

Step-by-step explanation:

The equation of a circle in standard form is

(x - h)² + (y - k)² = r²

where (h, k)are the coordinates of the centre and r is the radius

Given

2x² + 2y² - 4x + 16y = 128 ( divide through by 2 )

x² + y² - 2x + 8y = 64 ( collect x and y terms together )

x² - 2x + y² + 8y = 64

Using the method of completing the square

add ( half the coefficient of the x/ y terms )² to both sides

x² + 2(- 1)x + 1 + y² + 2(4)y + 16 = 64 + 1 + 16

(x - 1)² + (y + 4)² = 81 ← in standard form

with centre = (h, k ) = (1, - 4 ) → C


Related Questions

30 POINTS, IM TO LAZY TO DO THIS AND IT WAS DUE TWO WEEKS AGO SO UH PLEASE HELP.

Answers

Answer:

the first answer should be the answer of second one, and the first answer is "s + t = 28"

the third questions answer is 28 t shirts and 4 sweatshirts.

and the forth question answer is 4 sweatshirts.

I hope this helps.

approximate 79.75 to the nearest hundred, ten, whole number, thenth​

Answers

Answer: ten -  80(?)

hundred - 100

whole number - 80

tenth - 79.8

What is f(-1)?

PLEASE HELP ASAP

Answers

Answer:

3

Step-by-step explanation:

so we know that this question is asking for the y value when x is equal to -1, so according to the graph its 3

0.9 is the result of finding the product of 2 and 34 minus a number.

Answers

Answer:

The answer is 3/10

Step-by-step explanation:

I took the test using K-12

Sorry if it is late.

Solve the equation for x.

x-17=-5​

Answers

Answer: 12

Explanation:

add 17 to both sides

x = -5 + 17 = 12

Answer:

x = 12

Step-by-step explanation:

x - 17 = -5

x = -5 + 17

x = 12

Name the congruent triangles.

Answers

Answer:

ΔFOX ≅ΔBXO

Step-by-step explanation:

Triangles that has the Same size and shape

help me pleaseeeeeeeeeeee

Answers

Answer:

Step-by-step explanation:

a) 6305/65= 97

b) 94+94= 188

   306-188= 118

Answer:

a. 87 b. 59

Step-by-step explanation:

typing bc I need to have 20 letters

Fill the gaps in the
a Die
x = -7
5x - 7 ?

Answers

Answer: -42

Step-by-step explanation:

If X = -7

Then:

= 5(-7) - 7

= -35 - 7

= -42

Hope it helps:)

HELP!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

Answers

the answer is:
a. $13.60

step by step explanation:
all you have to do is divide:

so 68/5 is 13.6


hope this helps

Answer:

Each friend will pay 13.60 dollars.

Step-by-step explanation:

68/5 is 13.6

If you type 75 words in 3 minutes at what rate do you type?

Answers

You type 25 words per minute.

Equation: y=25x.

Hope this helps!!

Evaluate the expression:

2/3-1/4+(-5/6)

Answers

Answer:

[tex] \\ \frac{2}{3} - \frac{1}{4} + \frac{( - 5)}{6} [/tex]

[tex] \\ = \frac{2}{3} - \frac{1}{4} - \frac{5}{6} [/tex]

[tex] \\ = \frac{8 - 3 - 10}{12} [/tex]

[tex] \\ = \frac{8 - 13}{12} [/tex]

[tex] \\ = \frac{ - 5}{12} [/tex]

Rohan spent 20% of his pocket money on transport and ₹60 on his breakfast.If he spent 15% of the remaining money on his lunch and had ₹340 left, what was his pocket money?​

Answers

He spent on transport = 20%

spent on breakfast = 60/-

spent on lunch = 15%

remaining amount = 340

rs he spent on transport = 20/100 × 340 =68

rs he spent on lunch = 15/100 × 340 = 51

Therefore, total of his pocket money = 68 + 51 + 60 + 340

= ₹519

Marlee has to find the point that divides the line segment between the points P(-6, 10) and R(2, -4) exactly in half. Marlee states: "the answer is M(-2, 3). Since a midpoint divides a line segment into 2 equal parts, I used the midpoint formula." Is this a logical argument?

Please choose one of these choices.:

A. Yes; using the midpoint formula will determine the middle point of a line segment.
B. No; she should have used the distance formula.
C. No; she should have used the quadratic formula.
D. No; she should have used the slope-intercept formula y = mx + b.

Answers

Answer:

A.

Step-by-step explanation:

If you use the points P(-6,10) and R(2,-4) and put them it the midpoint formula you would get (-2,3) therefore it would be logical to use it

Building Bonds puts on team-building events. The company charges a base rate of $45 per event, plus $7.50 per participant. Write an equation showing how the cost of an event, y, depends on the number of participants, x.

(Please Help! Thank You!)​

Answers

Answer:

45+7.50x= y

Step-by-step explanation:

The rectangle below has been enlarged by a scale of 3.5.

A rectangle with a length of 8 and width of 6.

Answers

Multiply the original dimensions by the scale:

8 x 3.5 = 28

6 x 3.5 = 21

New dimensions:  length = 28, width = 21


Can somebody please help me and tell me how did you get the answer please thank you!!!

Answers

Answer:

10

Step-by-step explanation:

(6x-5)+(12x+5)=180

18x=180

x=10

La temperatura de un congelador bajó de 3 °C a −9 °C en 3 horas. Si la temperatura del congelador bajó en la misma cantidad de grados cada hora, ¿qué temperatura tenía el congelador al completarse la primera hora?

Answers

En este problema observamos que la temperatura del congelador desciende linealmente con el paso del tiempo, es decir, conforme al siguiente modelo:

[tex]T(t) = T_{o} + \frac{\Delta T}{\Delta t}\cdot t[/tex] (1)

Donde:

[tex]T_{o}[/tex] - Temperatura inicial, en grados Celsius.[tex]\Delta T[/tex] - Cambio total de la temperatura, en grados Celsius.[tex]\Delta t[/tex] - Cambio total en el tiempo, en horas.[tex]t[/tex] - Tiempo, en horas.

Si sabemos que [tex]T_{o} = 3\,^{\circ}C[/tex], [tex]\Delta T = -12\,^{\circ}C[/tex]. [tex]\Delta t = 3\,h[/tex] y [tex]t = 1\,h[/tex], entonces la temperatura del congelador al completarse la primera hora es:

[tex]T(1\,h) = 3\,^{\circ}C + \left(\frac{-12\,^{\circ}C}{3\,h} \right)\cdot (1\,h)[/tex]

[tex]T(1\,h) = -1\,^{\circ}C[/tex]

El congelador tenía una temperatura de -1 °C a la primera hora.

Invitamos cordialmente a ver esta pregunta sobre temperaturas: https://brainly.com/question/21677542

System of equations pls help me

Answers

Answer:

x=6 and y=5

Step-by-step explanation:

We can eliminate the "x" variable by adding the two equations to get 6y=30. This means that y=5.

If we plug y=5 back into one of the original equations:

5x+y=35

5x+5=35

5x=30

x=6

-5x+5y=-5

-5x+5(5)=-5

-5x+25=-5

-5x=-30

x=6

Which confirms that x=6 and y=5 are indeed the correct solutions

Answer:

x=6 ,y=5

Step-by-step explanation:

6y=30,y=5

x=6

Find the value of each variable.
I have been stuck on these for a week now. Please help.​

Answers

Answer:

Step-by-step explanation:

the varible would be x

Which expression is equivalent to -2( x-7 )?

Answers

Answer: -2x+14

Step-by-step explanation: use the distributive property. -2 times x and -2 times -7. -2x+14

Answer: -2x+14

and have a bless day

Factor 28z–32. what is the factor??????

Answers

Answer:

4(7z - 8)

Step-by-step explanation:

28 and 32 are both divisible by 4.

The answer is 4(7z - 8)

Question 6 of 10
Which choice is equivalent to the product below?

Answers

The answer is d because when you get the square root of 8*5 you get 6.32 and when you get the square root of 2 and ten you get the same

28+30 is what pls solve it just to pick brainliest answer​

Answers

Answer:

58

Step-by-step explanation:

28

+30

58

that is the answer

negitive ten is no less than two times a number plus fourteen

Answers

Answer:

Negative 12

Step-by-step explanation:

-10 ≥ 2x + 14

-24 ≥ 2x [subtract 14 from both sides]

2x ≤ -24 [read right to left]

x ≤ -12  [divide both sides by 2]

is (3,2) , (4,6) , (5,8) a function

Answers

To test this, plot all the points on a graph and connect them. Draw a vertical line through the connected points and if the line crosses the line created by points more than once it is not a function.

PLEASE PLEASE HELP THANK YOU SO MUCH

Answers

Answer:  x => 12.8 cm

13 and 13.5

Step-by-step explanation:

The area is equal to or greater than 154 cm^2:

A [tex]\geq[/tex] 154 cm^2

Assume a minimum of 154 cm^2 and calculate the area of a rectangle having a width of 12 cm.  Let x be the length of the rectangle, so that:

(12)*x = Area

Area => 154 cm^2

(12)*x  => 154 cm^2

x => (154/12cm) cm^2

x => 12.8 cm

13 and 13.5 will both meet the criteria.

Find the pair of integers that has a product of –12 and a sum of 1.

Answers

Answer:

X = -4, Y = 3

Step-by-step explanation:

x * y = -12

x + y = 1

X = 4, Y = -3

NO TIME TO EXPLAIN

Calculate x you must include the steps and your solution and the definitions and or conjuncture that you use

Answers

Answer:

40

Step-by-step explanation:

Planes S and R both intersect plane T .

Horizontal plane T intersects vertical planes S and R. Planes T and S intersect at line x. Planes T and R intersect and line y. Horizontal line v intersects line x at point B and line y at point A. Line z intersects the lower half of plane S at point C. Point D is on line z but not on a plane.

Which statements are true based on the diagram? Select three options.

Plane S contains points B and E.
The line containing points A and B lies entirely in plane T.
Line v intersects lines x and y at the same point.
Line z intersects plane S at point C.
Planes R and T intersect at line y

Answers

Answer:

B,D,E

Step-by-step explanation:

Answer:

B- The line containing points A and B lies entirely in plane 

C-Line z intersects plane S at point C.

E-Planes R and T intersect at line y.

Step-by-step explanation:

Ed2022

how to determine if two functions are inverses of each other

Answers

Answer:

f(g(x)) = x implies that f and g are inverses; g(f(x)) = x also implies that.

Step-by-step explanation:

Suppose you have two functions f(x) and g(x).  If you use g(x) as the input to f(x), and the result is merely x, then we conclude that the two functions are inverses of each other.  Similarly with f(x) as argument of g(x).

f(g(x)) = x implies that f and g are inverses; g(f(x)) = x also implies that.

Other Questions
b. What is the scale factor of the dilation that takes Q to P? Solve 3h+g=5h-hg for h Karen walks into our park and tells us we are not allowed to grind the sidewalks with wax. We tell her its a public skate park and the owners don't mind us doing 50/50's as long as its away from the scooter kids. She calls the police and tells us she will be speaking to the owner about having us banned from the grounds. What do you think happened next? Complete the sentence.A doctor must have a client's consent to offer any kind of care, otherwise the doctor is going against the client'sI what is the value of x? show the workout What is a good example of a hook for a paragraph about deer? The presidents of which two countries were killed in a mysterious plane crash? a.Rwanda b.Burundi c.Darfur d.Cambodia e.Sudan . Eating one apple a day can help you lose weight, build .bones, and also prevent diseases like cancer. (health) help with my math plz what is the product of... see attachment below examine the importance of relativePricestheeconomy x3+y3+z3=k What does this equation mean please? Indique cules son las unidades de la molaridad * eq-g/m eq-g/L mol/cm mol/L 10, 18, 26, 34, 42, ...What is the 15th term of this Arithmetic Sequence May isang batang babaing mahirap. Nag-aaral siya. Sa paaralan ay kapansin- pansin ang pagiging walang imik. Madalas na nag-iisa siya. Lagi siyang nasa isang sulok. Kapag nakaupo na'y tila ipinagkit. Lagi siyang nakayuko, mailap ang mga mata, sasagot lamang kapag tinawag ng guro halos paanas pa kung magsalita. Naging mahiyain siya sapagkat maaga niyang nalaman na kaiba ang kanyang kalagayan kung ihahambing sa mga kaklase. Ipinakita at ipinabatid nila iyon sa kanya. Mayayaman sila. Magaganda at iba-iba ang kanilang damit na pamasok sa paaralan. Madalas ay tinutukso siya dahil sa kanyang damit. Ang kanyang damit kahit malinis ay halatng luma na palibhasa ay kupas na at punung-puno pa ng sulsi. Pangunahing Kaisipan:________________________________________________________________Mga Pantulong na Kaisipan:1.2.3.4.5. Solve the system, or show that it has no solution. 10x + 4y = 1415x + 6y = 21 One of the greatest tenants of classical literature is their ability to connect to humans of all time periods because such literary works deal with universal struggles and triumphs of life, such as grief, love, home, family, friends, honor, or the purpose and meaning of life. Choose ONE universal ideal that you see expounded upon in at least three works we read this term: The Odyssey, Oedipus the King, The Inferno, and Julius Caesar. Using examples from the texts, discuss how the idea or theme you have chosen is seen in each work and how these works can relate to modern human lives because of this theme. Write at least three paragraphs. A backback originally costs $35 it is on sale for $22.75 find the percent of decrese "RST was _____________, then dilated, to create "ZXY. Rotated reflected translated dilated. PLEASE HELP ILL GIVE BRAINLIEST IF CORRECT 50 POINTS BTW THIS IS SCIENCE Explain how the study of earth science can be used in Gods plan of redemption