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

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.

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

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

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

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:)

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

Answers

Answer: ten -  80(?)

hundred - 100

whole number - 80

tenth - 79.8

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

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

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

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)

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:

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]

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:

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

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]

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

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.

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.

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

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

Name the congruent triangles.

Answers

Answer:

ΔFOX ≅ΔBXO

Step-by-step explanation:

Triangles that has the Same size and shape

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.

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

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


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

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.

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!!

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

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

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