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

why does math included things we will never use

Answers

Answer:

To make students question their existence

Step-by-step explanation:

Because it just wants to be complicated for us :/

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

20 points! :D

Not sure how to do this. :/

Answers

Answer:

t = (A - P) / Pr

Step-by-step explanation:

A = P + Prt

A - P = Prt

(A - P) / Pr = t

t = (A - P) / Pr

Need help with this ASAP I’ll mark brainliest

Answers

where is the question ??
i don’t see the question

A recipe calls for 310 cup of sugar for every 5 cups of water. How many cups of sugar are needed for 25 cups of water?

Answers

Answer:

1550 cups

Step-by-step explanation:

multiply everything by 5

I need help. I'm suppose to find the angle of "o"​

Answers

Answer: 66



Hope this helps, if you need an explanation just ask

need help asap please

Answers

I think it might be  (B) 7

Find the surface area of each prism

Answers

Answer:

3.  SA =  876 [tex]in^{2}[/tex]

4.  SA =  161 [tex]ft^{2}[/tex]

Step-by-step explanation:

       Number 3.

To find the total Surface Area, we need to know all the side lengths which are used to multiply to find the Area of each side. Then add the areas of all the sides to get the total SA.

       To find side lengths:

Assuming the back triangle (24, 10 in) is congruent to the front triangle (26in.): First, Knowing the Pythagorean triples or the Pythagorean theorem, we can conclude that the short bottom leg in the triangle on the right (6, 10, x in) is     8 in.                                                                                                               Secondly, to find the leg of the triangle with a hypotenuse of 24 inches, we subtract: 26 - 8 = 18 in.

Now we know all the (needed) side lengths.

       To find the Surface Area:

Total SA  =  (12 x 26) + (12 x 24) + (12 x 10) + 2 x ((6 x 18 x 0.5) + (6 x 8 x 0.5))

               =  312 + 288 + 120 + 2 x (54 + 24)  =  720 + (2 x 78)

               =  876 [tex]in^{2}[/tex]

       Number 4.

Same Idea: To find the Total SA, we need to know all the side lengths which are used to multiply to find the Area of each side. Then add the areas of all the sides to get the total SA.

Assuming the back triangle (7ft) is congruent to the front triangle (5x5 ft), then in this case, we already know all the needed side lengths.

       To find the Surface Area:

Total SA  =  2 x (8 x 5) + 2 x (5 x 5 x 0.5) + (7 x 8)

               =  80 + 25 + 56

               =  161 [tex]ft^{2}[/tex]

Write your answer as a decimal. If the decimal has more than 2 decimal places, round to 2 decimal places.

Answers

Where’s the question??

At Fenway park, they can sell 5000 hot dogs at $4 per dog. They also know that for each quarter (25 cents) they raise the price, they will sell 200 less hot dogs. How many hot dogs should they sell to make profit? Please I need this question by 11:30 pm I’ve been looking everywhere but can’t find answers.

Answers

2500 hot dogs must be sold to  make a profit

If they can sell 5000 hot dogs at $4 per dog, the selling price for the 5000dogs will be expressed as:

SP= 4 * 5000

SP = 4 + 0.25x

Total number hot dog sold = 5000 - 200x

Revenue = Sales price*Total number hot dog sold

When the price is increased by $0.25 then the revenue will be expressed as [tex]g(x) = (4+0.25x) (5000 - 200x)[/tex]

Taking the product, the resulting function will be;

[tex]g(x) = -50x^2 + 1250x + 20000[/tex]

To get the maximum profit, we need to maximize the revenue by differentiating the function and equating it to zero to have:

[tex]g'(x) = -100x + 450\\0=-100x + 1250\\100x = 1250\\x = 12.5[/tex]

Substittute x = 12.5 into the total number hot dog sold function

Recall that n = 5000 - 200x

n = 5000 - 200(12.5)

n = 5000 -  2500

n = 2500

Hence 2500 hot dogs must be sold to  make a profit

Learn more here: https://brainly.com/question/19594550

PLEASE IM BEGGING PLEASE I RLLY NEED THIS PKS PLS

Answers

Answer:

yeah I don't know why I don't know so please don't ask me

Step-by-step explanation:

ido

I need help pleaseeeeee

Answers

Answer:

top one is 8x bottom is 9

Step-by-step explanation:

please I need immediate help ​

Answers

Answer:

sorry what? the photo is not clear

Step-by-step explanation:

dude the photo

plz brainliest

Whos gonna help you in the exam?

HELPPP!!!!!!!ASAP!!!!!

What is the equation in slope-intercept form of the line that passes through the point (5, 0) and is parallel to the line represented by =2.2+1.2
y
=
2.2
x
+
1.2
.

Answers

Answer:

y = 2.2x - 11

Step-by-step explanation:

Slope: 2.2

y-intercept: 0 - (2.2)(5) = - 11

What is another word for the input values in a proportional table.

a) y-values


b) output values


c) plug in value


d) x-values

Answers

D because the input value is also Known as the X value

please help me with this:(((((​

Answers

1.) Not sure about the first one
2.) 2
3.) Y=3x-9

A regular pentagon has an apothem measuring 3 cm and a perimeter of 21. 8 cm. A regular pentagon has an apothem with a length of 3 centimeters and a perimeter of 21. 8 centimeters. What is the area of the pentagon, rounded to the nearest tenth? 13. 8 cm2 17. 3 cm2 32. 7 cm2 69. 0 cm2.

Answers

Answer:

Step-by-step explanation:

Brainly.com

Question

A regular pentagon has an apothem measuring 3 cm and a perimeter of 21.8 cm. A regular pentagon has an apothem with a length of 3 centimeters and a perimeter of 21.8 centimeters. What is the area of the pentagon, rounded to the nearest tenth? 13.8 cm2 17.3 cm2 32.7 cm2 69.0 cm2

Answer · 10 votes

Answer:32.7cmStep-by-step explanation:just took the

To make five dinners 1/3 cup of flour is used how many cups of flour are needed to make 3 dozen dinner rolls

Answers

Answer:

2.4 cups of flour or 2 2/5 cups of flour

Step-by-step explanation:

(1/3) divided by 5 = 0.06666666666

3 dozen = 36

0.06666666666 x 36 = 2.4

also, did you mean to make 5 dinner rolls?

Determine the value of x in the diagram.

Answers

Answer:

x=48 because 180-156=24. 108+24=132 180-132=48

What is the perimeter of this arrangement? ​

Answers

28 is the answer for your problem

The perimeter of a scalene triangle is 14. 5 cm. The longest side is twice that of the shortest side. Which equation can be used to find the side lengths if the longest side measures 6. 2 cm? A scalene triangle where all sides are of different lengths. The base of the triangle is labeled 2a, is twice that of the shortest side labeled a. The other side is labeled b. Choose the correct answer.

Answers

I know u felt offend and I love you so much so much love and hope that not everyone else is going to accept that as a result I am now in a person

Answer:

9.3+ b= 14.5

Step-by-step explanation:

Parallel lines m and n are cut by the transversal line t prove <1 and <4 are supplementary move options to the boxes to complete the proof

Answers

You need to measure the parallel lines on and add them

What is the slope I need the answer fast

Answers

gradient=∆ in y values /∆ in x values

Step-by-step explanation:

pick any two points through which the line is passing through then label the values (any) x¹ and y¹ then x² and y². then subtract y²-y¹/x²-x¹

what is the slope of the equation above?

Answers

answer: slope is 3/7

what is the equation of the line that passes through the point (4, 8) and has a slope of 0?

Answers

Answer:

y=8.

Step-by-step explanation:

1) if according to the condition slope=0, then the slope-interception form of the required equation is: y=i, where i - interception;

2) if according to the condition the point (4;8) belongs to the required equation, then the required equation is: y=8

what is the value of a rectangular prism with a length of 2x, a width of x-2, and a height of x+2?

Answers

Answer:

what do you mean by x?

Step-by-step explanation:

Four times a number, increased by 10, is -2
what is the number?

Answers

Answer:

-3

Step-by-step explanation:

-3 × 4 = -12

-12 + 10 = -2

Solve for h.
h - 6 =
=
7

Answers

Answer:

h = 13

Step-by-step explanation:

Solve for h.

h - 6 =  7

h = 7 + 6

h = 13

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

check

13 - 6 = 7

7 = 7

the answer is good

So, this one is pretty easy. Since h-6=7, you just add 6 and 7 and subtract 6 to find the answer, like this.

6+7=13

13-6=7

and h=13

Easy, huh?

What is the Answer for
y=2+frac{1+x}{1-2x}

Answers

Answer:

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

Step-by-step explanation:

[tex]y=2+\frac{1+x}{1-2x}[/tex]

First, subtract 2 from both sides:

[tex]y-2=\frac{1+x}{1-2x}[/tex]

Multiply both sides by (1 - 2x):

[tex]y-2(1-2x)=1+x\\y-2xy-2+4x=1+x[/tex]

Subtract 1, subtract x, and add 2xy to both sides:

[tex]y-3+3x=2xy[/tex]

Subtract 3x from both sides:

[tex]y-3=2xy-3x[/tex]

Factor out the x:

[tex]y-3=x(2y-3)[/tex]

Finally, divide both sides by (2y-3):

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

Keep in mind that this is undefined at y=1.5. The original equation is also undefined at 0.5.

Which of the numbers below is greater than 0.75? Select all that apply. A) 32 B) −0.5 C) 1.2 D) −14 E) −2.4

Answers

Answer:

A and B

Step-by-step explanation:

becuz

Other Questions
What medicine do I take if I have fever During which Revolutionary War battle did troops have a day of Thanksgiving? The synthesis of which molecule(s) could be affected by the mutation of dna?. Find the radius of the button.A circular button with a diameter of 5 centimeters. .Question.[Mathematics]5! + 5! = all persons born or naturalized in the united states C. 5.37. D.53720. what is 8.75 divided by 1000?A.0.0875B.0.00875C.0.000875D.0.000087521. which of the following gives a terminating decimal quotient?A.45B.37C.23D.1322.which of the following gives a non-terminating decimal quotient?A.45B.24C.23D.15 Heyy help me do this question please and thanks please help me i really need it and NOOOO BOTS we inhale o2 and we exhale co2. carbon dioxide is produced __________. What kind of wave causes particles in rocks to move at right angles to the direction of the wave Use the table below to answer the following question,2: 1 2 3 4 5 6y 100 200 400 800 1,600 3,200 6,400Which equation BEST fits the data given in the table?se 3:Of(x) = { (200)*Of(x) = 100(2)*uge 4f(x) = 200)age 5Of(x) = 200(2)*5Previous PageNext PagePage 2 of 11 Which sentence uses the underlined vocabulary word incorrectly? A. The duly principal was always late. B. He informed me that I would have to retake the course directly. C. Some infirmities can be overcome by a change in lifestyle. what car brand is mentioned in the ""all in the family"" theme song? Which group on the Note Master tab contains the command to add footers to the notes pages? helppppppppp pleaseeeeeee Select the correct answer.What conclusion can be drawn from both passages?B.O A Camouflage was a determining factor in the outcome of World War I.The use of camouflage is primarily for maskig military vehicles and personnel.. The use of camouflage in the military first occurred during World War I.OD. Camouflage has been used to mask the appearance of military vehicles. describe the features of the endocrine system for control in the example given.- endocrine gland-negative feedback mechanism -produce hormone -> travel via blood-> target specific cells organsPlease expand these bullet points Drag each tile to the correct box. The president vetoes a bill that originated in the House of Representatives. What happens next? Put the steps in order. Two-thirds of the Senate votes to override the veto. The bill is sent to the Senate. The bill goes back to the House of Representatives. Two-thirds of the House votes to override the veto. The bill passes and becomes law. Solve the simultaneous equations3x - y = 5-x + y = -1