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

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?

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

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Answer: 66



Hope this helps, if you need an explanation just ask

PLEASE IM BEGGING PLEASE I RLLY NEED THIS PKS PLS

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Answer:

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

Step-by-step explanation:

ido

please I need immediate help ​

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Answer:

sorry what? the photo is not clear

Step-by-step explanation:

dude the photo

plz brainliest

Whos gonna help you in the exam?

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]

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

Need help with this ASAP I’ll mark brainliest

Answers

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

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

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

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

need help asap please

Answers

I think it might be  (B) 7

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 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

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

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:

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.

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

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Answer:

To make students question their existence

Step-by-step explanation:

Because it just wants to be complicated for us :/

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;

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Determine the value of x in the diagram.

Answers

Answer:

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

please help me with this:(((((​

Answers

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

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

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??

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

what is the slope of the equation above?

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answer: slope is 3/7

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Answer:

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Step-by-step explanation:

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

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what do you mean by x?

Step-by-step explanation:

What is the perimeter of this arrangement? ​

Answers

28 is the answer for your problem

20 points! :D

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Answers

Answer:

t = (A - P) / Pr

Step-by-step explanation:

A = P + Prt

A - P = Prt

(A - P) / Pr = t

t = (A - P) / Pr

Four times a number, increased by 10, is -2
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Answers

Answer:

-3

Step-by-step explanation:

-3 × 4 = -12

-12 + 10 = -2

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