The equation 2x2+2y2−8x−12y+16=0 2 x 2 + 2 y 2 − 8 x − 12 y + 16 = 0 defines a circle. Which of these shows a correct step for determining the center and radius of this circle? Choose all that are correct.

(2x2−8x+16)+(2y2−12y+36)=−16+36
(
2
x
2
−
8
x
+
16
)
+
(
2
y
2
−
12
y
+
36
)
=
−
16
+
36

(x−4)2+(y−9)2=5
(
x
−
4
)
2
+
(
y
−
9
)
2
=
5

(x2−4x+4)+(y2−6y+9)=−8+13
(
x
2
−
4
x
+
4
)
+
(
y
2
−
6
y
+
9
)
=
−
8
+
13

x2+y2−4x−6y=−16
x
2
+
y
2
−
4
x
−
6
y
=
−
16

(x−2)2+(y−3)2=5

Answer:

volume = 308 units^3

surface area = 298 units^2

Answer:

6.3feet

Step-by-step explanation:

Given data

Radius= 4feet

The expression for the circumference of a circle is

C= 2πr

Substitute

C=2*3.142*4

C=25.136 feet

Also, a 90° arc is 1/4 of the circumference of a circle

Hence the length of the 90° arc is

=25.136/4

=6.284 feet

=6.3feet

Answer:

y=-2x+1

Step-by-step explanation:

2x+y=1

y=-2x+1

nnd my day has been pr good :)

Answer:

y=-2x+1

Step-by-step explanation:

I hope this helps. I'm doing great.

Yes, Triangles ABC and AED are congruent by SSS or SAS.

A triangle is a three sided polygon, which has three vertices and three angles which has the sum 180 degrees.

Given that;

The triangles is shown in image.

Now,

Here, In triangles ABC and AED;

⇒ AB = AE = 7

⇒ BC = DE

⇒ AC = AD

⇒ ∠BAC = ∠DAE

Thus, The triangles ABC and AED are congruent by SSS and SAS.

Learn more about the triangle visit:

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Answer:

Positive

Step-by-step explanation:

Two minus signs = +

- - = +

Replace the -- with +

4.5+3.5 = 8

Answer:

A≈603.19in²

Step-by-step explanation:

sorry if it's wrong

Answer:

603.19

Step-by-step explanation:

lol the handwriting hurts

Answer:

other person!

Step-by-step explanation:

give the other person brainliest; hope you pass the class!

sir........you gucci?

Answer: a. (-2, -2)

Step-by-step explanation:

The point at which the two lines intersects is at (-2, -2), which is the solution.

Answer:

5 : 9

Step-by-step explanation:

divide both terms by the greatest common factor which in this case is 5

Answer:

B, C , F

Step-by-step explanation:

The age multiplied 55, so the shell grows at rate of 55mm per year

in fact if the age is 2 we have (55 x 2) = 55 + 55

if 3 = (55 x 3) = 55 + 55 + 55

and so on

When the turtle is hatched the shell is 37 mm in lenght.

In fact, if we substitute 0 to a, we have

s = (55 x 0) + 37

s = 37

when the turtle is 1 year old, the shell is 92 mm in length.

in fact if we substitu a with 1, we have

s = (55 x 1) + 37

s = 55 + 37

s = 92

Answer:

I think it C

Step-by-step explanation:

Let's solve your equation step-by-step.

(k−4)2=9

Step 1: Simplify both sides of the equation.

k2−8k+16=9

Step 2: Subtract 9 from both sides.

k2−8k+16−9=9−9

k2−8k+7=0

Step 3: Factor left side of equation.

(k−1)(k−7)=0

Step 4: Set factors equal to 0.

k−1=0 or k−7=0

k=1 or k=7

Answer:

k=1 or k=7

Hope this helps! :)

Square both sides:

K -4 = sqrt(9)

With the answer being a square root rewrite with a postive and negative value:

K-4 = sqrt(9)

And

K-4 = -sqrt(9)

Simplify each:

K-4 = 3

And

K-4 = -3

Solving for k in each one you get answer

C. {1,7}

Answer:

c

Step-by-step explanation:

took test & got it right

Answer:

it is C-192 in2

Step-by-step explanation:

I am 100% sure this is correct

Answer:

I think it is c because yah

Answer:

Factor

Step-by-step explanation:

Answer:

$21.50

Step-by-step explanation:

Answer:

i dont understand russian

Step-by-step explanation:

Answer:

-0.38%

Step-by-step explanation:

Divide 31 by 50. 31 / 50 = 0.62.

1 - 0.62 = 0.38

Since it is a decrease in change the percent change is negative.

-0.38%

Answer:

 t2 - 2t - 2 or C. - Hope it helps!

Answer:

Breadth is 4 m and length is 8m

Step-by-step explanation:

Area of the rectangle = Length * breadth

Area of the rectangular goat pen= 32 square meters

Perimeter of the rectangular goat pen = 24 meters

Perimeter of the rectangle = 2(length + breadth)

          24= 2(l+b)

          12= length + breadth

         12- breadth = length ----------- equation A

Area = l*b

32= l*b

32= (12- b) *b

32= 12b- b²

b²-12b+32= 0------------------- equation B

Solving the quadratic equation by factorization

b²- 8b- 4b+32= 0

b(b-8) -4(b-8)= 0

(b-8) = 0

(b-4)= 0

b= 8 or b=4

As breadth is usually smaller than length then putting b= 4 in  equation A

gives

  12- breadth = length

12-4= length

length = 8

Hence breadth is 4 m and length is 8m

Answer:

its D

Step-by-step explanation:

[tex]1 + 1 = 2 \\ [/tex]

The volume of the given hemisphere is 59131.7 inches³.

What is a hemisphere?

Hemisphere is the exact one-half of the sphere.

given, diameter of the hemisphere is = d = 60.9 inches

Therefore, radius = d/2 = 60.9/2 inches = 30.45 inches.

Hence, the volume = (2/3) × π × r³ =  (2/3) × π × (30.45)³ inches³ = 59131.7 inches³.

Learn more about the volume of the hemisphere here: https://brainly.com/question/23118911

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Answer:

1.75(x)

Step-by-step explanation:

you can make an algebraic expression to make this simpler. if x = the number of tickets. then, you want to create the expression. it will be ....    1.75(x).

you plug whatever number you need for the table in as x. for example, if you want to see how much money diego would make for 6 tickets you write   1.75*6

Answer:

665

Step-by-step explanation:

The range is the difference between the smallest and highest numbers in a list or set. To find the range, first put all the numbers in order. Then subtract (take away) the lowest number from the highest. The answer gives you the range of the list.

Answer:

The Range is 655

Answer:

Step-by-step explanation:

I believe that since both circles C & D are congruent, and TU is bisected into TW and WU, PS = 7.4/2 = 3.7

PS = 3.7

Answer:

it is 6.9

Step-by-step explanation:

i took the test

Answer:

Step-by-step explanation: