A circle in the xy-coordinate plane has the equation x2 + y2 +6y -4 = 0. If the equation of the circle is written in the form x2 + (y+k)2 = c.
where k and care constants, what is the value of K?

Answers

Answer 1

Answer:

k = 3

Step-by-step explanation:

Given

x² + y² + 6y - 4 = 0 ( add 4 to both sides )

x² + y² + 6y = 4

Using the method of completing the square

add ( half the coefficient of the y- term )² to both sides

x² + y² + 2(3)y + 9 = 4 + 9

x² + (y + 3)² = 13

with k = 3


Related Questions

A cone with a height of 15 yards has a volume of 475.17yd find the diameter of the cone

Answers

Answer:

11......................

Volume = (1/3) . π . r² . h

475.17 = (1/3) . π . r² . 15

475.17 = 5πr²

r² = 475.17/5π

r² = 30.25

r = √30.25 = 5.5

Diameter = 2r = 2 × 5.5 = 11 yd

persamaan linear bagi soalan 2/3x - 4 = x + 1​

Answers

Answer:

Step-by-step explanation:

-2

Calculate the area of the parallelogram

Answers

Answer:

28 square inches

Step-by-step explanation:

Area = b * h

To find the height, you first have to solve the triangle.

[tex]a^{2} +b^{2} =c^{2} \\\\3^{2} +h^{2} =5^{2} \\h^{2} =5^{2} -3^{2} \\h=4[/tex]

Now use that for your area

Area = 7 * 4

Answer-21 square inches

Can someone help me p

Answers

Answer:

(3.5, -2)

Step-by-step explanation:

that point is where the edge if the rectangle is

Express tan W as a fraction in simplest terms.
U
W
24
6

Answers

Answer:

The simplest terms is, tan W=4.

Explanation:

Definition of trigonometry:

Trigonometry is a discipline of mathematics that deals with certain angle functions and how to use them in computations. In trigonometry, there are six functions of an angle that are often utilised. Sine (sin), cosine (cos), tangent (tan), cotangent (cot), secant (sec), and cosecant are their names and acronyms (csc).

Step by step:

Simplest term of tan W are calculated as:

We know that, [tex]tan[/tex]θ [tex]=\frac{opposite}{adjacent}[/tex]

According to the question:

[tex]tan W=\frac{VU}{VW} \\\\tan W=\frac{24}{6} \\\\tan W =4[/tex]

Hence,  The simplest form of tan W is 4.

To know more about trigonometry here, https://brainly.com/question/24349828

#SPJ2

14.How long will it take a car to go from a complete stop to 44 km/hr if they are accelerating at 5
km/hr2?

Answers

Answer:

8.8

Step-by-step explanation:

1,9,4,6,8,8 which is the median

Answers

Answer:  Median = 7

=======================================================

Explanation:

Sort the values from smallest to largest. Doing so leads to the list {1,4,6,8,8,9}

Since the set is small enough, you can probably notice that the middle most number is a tie between the 6 and the first 8. The midpoint is (6+8)/2 = 14/2 = 7.

The median is 7.

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

If you wanted, you could cross off the first and last items of the set

That means we go from {1,4,6,8,8,9} to {4,6,8,8}

Then repeat to get the smaller set {6,8}

This shows we have a tie between the 6 and 8 as the middle most item, and why 7 is the median (since 7 is the midpoint between 6 and 8).

A 16-oz bottle of waler costs $2.88. What is the
cost per ounce?

Answers

Answer:

18 cents per ounce

Step-by-step explanation:

Take the total cost and divide by the number of ounces

2.88 /16 =.18

18 cents per ounce

Answer:

.18

Step-by-step explanation:

2.88/16=.18

Create a fraction model in which the shaded part represents a fraction equivalent to 20 100 Divide the figure into the correct number of equal parts by using the More and Fewer buttons. Then shade by selecting the part or parts.​

Answers

Answer:

100/20=5. this is the answer of ur questions

An aquarium holds 11.13 cubic feet of water, and is 2.6 feet long and 1.9 feet wide. What is its depth? Round your answer to the nearest whole number.

Answers

Answer:

2.25 feet deep

Step-by-step explanation:

The volume was given as (11.13 cubic feet)

Length as (2.6 feet)

Width as(1.9 feet)

Volume of triangular prism can be written as ( length × width × height)

Volume= ( length × width × height)

Then substitute the values, we have

11.13 = 2.6 × 1.9 × height

Height= 11.13/(2.6×1.9)

= 11.13/4.94

= 2.25 feet

Someone help now please ASAP! What’s the volume of the prism in the image?

Answers

Answer:

40 cubes or cubic inches or whatever measurement the problem is using

The number of newly reported crime cases in a county in New York State is shown in the accompanying table, where x represents the number of years since 2008, and y represents number of new cases. Write the linear regression equation that represents this set of data, rounding all coefficients to the nearest hundredth. Using this equation, find the projected number of new cases for 2016, rounded to the nearest whole number.​

Answers

Answer:

Step-by-step explanation:

If you don't know how to use your calculator to find a regression equation, that is much too much to try and teach you in a forum such as this (it takes all hour to teach Algebra 2 students during the school year and they are sitting in class watching a demonstration!). I entered the data in my calculator and got the equation to be

y = 18.9x + 850 with a correlation coefficient of only .8 so this is not a very good model for this data anyway. However, we will proceed with the question as it asks. Year 0 is 2008, so the year in question, 2016, is year 8. We fill in the model with 8 for x and solve for y, the cases in NY of crime in that year:

y = 18.9(8) + 850 and

y = 151.2 + 850 so

y = 1001 cases of crime

Help please, it’s multiple choice!

Answers

Answer:

60°

Step-by-step explanation:

Answer:

A) 60

Step-by-step explanation:

Each Angle in a hexagon equals 120

X is supplementary to one of those angels, therefore 180-120 = 60

I don't understand this problem

Answers

Answer:  1.8

Note: 1.8 = 9/5

===========================================================

Explanation:

This problem may be strangely worded, so I'll try to phrase it differently. That part will come in a later section below (specifically section 3).

For now, let's just find the probability of finding two white marbles if we replace the first marble chosen. We consider this a "replacement" situation.

We have 5 blue, 3 red and 2 white marbles. That means 5+3+2 = 10 total. The probability of picking white is 2/10 = 1/5. Since the first marble is replaced, the probability of picking white the second time is still 1/5.

The probability of picking two white marbles is (1/5)*(1/5) = 1/25 = 0.04 = 4%

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

Now let's consider a "no replacement" situation. We won't put the marble back, or we won't replace it with an identical copy. After the first marble is picked, we have 10-1 = 9 marbles left and 2-1 = 1 white marble left.

The probability of getting white on the second selection, after no replacement is made, is 1/9 instead of 2/10 = 1/5

The probability of getting two white marbles in this scenario is (2/10)*(1/9) = (2*1)/(10*9) = 2/90 = 1/45 = 0.0222 = 2.22% approximately

We can see that there is a difference in probabilities between "replacement" and "no replacement" when we pick two white marbles like this.

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

The fractional answer to the first section was 1/25. Let A = 1/25

The fractional answer to the second section was 1/45. Let B = 1/45

A and B are the probabilities for "replacement" vs "no replacement" in that order.

Your teacher wants to know how many times greater the value of A is compared to B.

In symbols, your teacher wants to know the value of k in the equation A = Bk

So...

A = Bk

1/25 = (1/45)k

1/25 = k/45

1*45 = 25*k

45 = 25k

25k = 45

k = 45/25

k = (9*5)/(5*5)

k = 9/5

k = 1.8

Either the fractional or decimal version of k would work as the answer. It might sound better if you go with the decimal version, though again, both values are equivalent.

The value of A is 1.8 times greater compared to the value of B.

giving brainliest to the correct answer !

which product is negative?

• (-3/8)(-5/7)(1/4)
• (3/8)(-5/7)(-1/4)
• (3/8)(5/7)(1/4)
• (-3/8)(-5/7)(-1/4)

Answers

Answer:

33333333333333333333333333333333333333333

Step-by-step explanation:3333333333333333333333333333333333333333

(-3/8)(-5/7)(-1/4) is negative.

The value of a house has increased by 5% the house is now valued at £609000 what is the value of the house before the increase? I found a post that answered the question but it didn't explain how they got the answer.

Answers

Answer:

[tex]Current \ price = 609000\\\\Let \ the \ original \ price \ be = x\\\\\% increase = 5 \% \ of \ x = \frac{5}{100} \times x = \frac{5x}{100}\\\\Price \ after \ increase, current\ price = \frac{5x}{100} + x\\\\[/tex]

[tex]=> 609000 = \frac{5x}{100} + x\\\\=>609000 = \frac{105x}{100}\\\\=> x = \frac{609000 \times 100}{105}\\\\x = 580000[/tex]

Therefore original price = $580,000

0.6×8 and tell me how you got the answer pls
[tex]0.6 \times 8[/tex]

Answers

Answer:

4.8 is the answer!

Step-by-step explanation:

0.6 x 8 = 4.8

6 x 8 = 48

multiply 6 by 8, and move the decimal to the left one time, and get 4.8

Answer: 4.8

Step-by-step explanation: multiply 6*8 (which is 48) then move the decimal point one forward from the back

48.0 (this is before you move the point)

4.8 (this is after)

basically depending on how much numbers you have after the decimal point, that's how much you move forward!

Let me know if you have more questions!

Good luck!

Just tell me the answer plz and thank you

Answers

Answer:

6 - 14t

Step-by-step explanation:

2(3-7t)

Distribute

2*3 - 2*7t

6 - 14t

Answer:

6 - 14t

Step-by-step explanation:

A truck driver drove 48 miles in 45 minutes. At this rate, how many miles can the truck drive in an hour.

_______ miles in one hour

Answers

Answer:

About 64 Miles

Step-by-step explanation:

I think you just divide the miles by minutes which is about 1.06 then x 60 = 64

Which expression is equivalent to “the fifth power of (5 + 7)

Answers

Answer:

(5+7)^5

12^5

12*12*12*12*12

248832

Step-by-step explanation:

248832

12 x 12 x 12 x 12 x 12

please answer all questions, that k you!!!​

Answers

Answer:

In each case, translate the words into numbers and operations.

1. 2x - 10

2. 3/4 x

3. 7x

4. 16/x

5. 10n - 12

6. 50n

7. n - 4

8. n/8

9. 2/3 x

10. 5n - 10

A model of a sailboat is 3 inches wide and 12 inches high. If the actual sailboat is 9 feet wide, what is the height?

Answers

Answer:

36 FEET

Step-by-step explanation:

A scale drawing is a reduced form in terms of dimensions of an original image / building / object

the scale drawing is usually reduced at a constant dimension

scale of the drawing = original dimensions / dimensions of the scale drawing

scale = 9 / 3 = 3

1  inch : 3 feet

Actual height = 12 x 3 = 36

Would a piece of wood with a mass of 25 grams and a volume of 27.3^3 float in water?

Answers

Answer:

yes because the density of water is 997kg/M3 which is greater than the wood of 508•660425kg/M3 as it's density

here density = mass *volume

d=0•025*20346•417

d=508•660425kg/M3

here mass is changed in kg and volume is assumed as m^3 because of absence of unit of volume

What is the answer and explanation

Answers

Answer:
-4 1/3 < -1 3/4

Explanation:
The negative number farther away from 0 is smaller.

Answer:

- 4 1/3 < - 1 3/4

Step-by-step explanation:

The further down you go on the left side of the number line, the smaller the numbers will be. Since -4 1/3 is further down the left side of the number line than -1 3/4, it's smaller, or less than, -1 3/4

Please help me out whoever helps I will mark branliest

Answers

Answer:

i'm not too sure myself how to answer the problem.. but that is a translation.. A translation is just moving the shape with really changing its form or anything, just its placement

Which number is rational

Answers

Answer:

Step-by-step explanation:

[tex]\sqrt{81}[/tex] is the rational number because it is the perfect square of 9.

81 is the number of rational

Which equation is equivalent to 5= 4/3 (6y +9)?
A) 5 = 8y +3
B) 5= 8y +9
C) 5 = 8y + 12 D) 5 = 8y + 36

Answers

Answer:

option C

Step-by-step explanation:

[tex]5 = \frac{4}{3}(6y + 9)\\\\5 = \frac{4\times6y}{3} +\frac{4 \times 9}{3}\\\\5= 8y + 12[/tex]

Gunther's starting weight is 248 pounds, and he plans to lose 2 pounds each week. Use a linear equation to determine Gunther's weight after 10 weeks

Answers

y = 248 - 2x

good luck :))))

a=1.34,b=0.273,c=3.3548
a×b

Answers

Answer:

0.36582

Step-by-step explanation:

(a×b)

= (1.34×0.273)

= 0.36582

What are the steps to solving the equation 3/8x+15/2=18

Answers

Answer

x = 28

Explanation

3/8x + 15/2 = 18

Step 1. Subtract 15/2 from both sides

3/8x = 15/2 - 15/2 = 18 - 15/2

3/8x = 21/2

Step 2. Multiply both sides by 8/3

(8/3) * (3/8x) = (8/3) * (21/2)

Step 3. Answer

Therefore x is 28.

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