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

Consider this expression.
7110 = 90
What is the value of this expression?
Enter your answer in the box.

Answers

Answer:

79 is the value

Step-by-step explanation:

Solve by using substitution

y=2x
3x-y=3

Answers

answer:

x = 3

y = 6

step-by-step explanation:

we have two equations —

y = 2x

3x - y = 3

we have to use substitution so we will replace y with 2x since y = 2x

3x - 2x = 3

now that we have like terms, we can solve this to find x

3x - 2x = 3

x = 3

now, we will use this to find y

y = 2x

y = 2(3)

y = 6

Now that you know how long it will take to buy your house from Assignment 4 and how much you need to save for retirement given different start times in your life (Assignment 5), you will now determine the time you will start saving for retirement. Add the savings time it takes to buy your house (2 years or the months you calculated, whichever is greater) to the age 22. By using the new budget from assignment 4, determine if you can afford the savings it takes from assignment 5 to retire with $1,000,000 based on your new age after buying your house. If you cannot, you have a choice, change your budget, or retire will less money.

For your answer, tell me your age, if you can afford in your budget to retire with $1,000,000. If you can, write your budget with the retirement savings added in. If you cannot, write that you cannot afford it and tell me if you are going to change your budget to afford it or simply retire with less money. Then write your budget with what savings you can afford. Remember, retiring with less money does not mean that you will have a smaller retirement income, it just means that you will pass on less than a million dollars to your children.

Answers

Answer:

You  have to answer this yourself because i believe this quesstion is directed to you and your teacher want's to know your answer

Step-by-step explanation:

HELPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPP

Answers

Answer:

y=50 but i dont know x, sorry about that its cause im in class rn lol

Answer:

x= 127

y = 50

Step-by-step explanation:

y = 180 -130(angles on a straight line)

y= 50

x= 360-(123+60+50). angles in a quadrilateral

x = 360- 233

x= 127

How do you solve (-10) - (-3)

Answers

Answer:

-7

Step-by-step explanation:

-10 - -3

- 10 + 3

-7

(a double negative becomes a positive)

Answer:

-7

Step-by-step explanation:

Could someone please help me?

x =

100
120
140

Answers

Answer:

x = 140

Step-by-step explanation:

The secants exterior angle theorem states that when two secants (lines that intersect a circle at two points) intersect each other outside of the circle, then the absolute value of the difference divided by (2) equals the angle formed by the intersection of the two secants. One can apply this theorem here by stating the following, call the measure of the unknown arc (y);

[tex]\frac{30-y}{2}=10[/tex]

Solve for (y) with inverse operations:

[tex]\frac{30-y}{2}=10\\\\30-y=20\\\\y = 10[/tex]

When there is a diameter in a circle, the degree measure of the arc surrounding the diameter is (180). One can apply this here by stating the following:

[tex]30 + x + 10 = 180[/tex]

Simplify,

[tex]40 + x = 180[/tex]

Inverse operations,

[tex]40+x=180\\\\x = 140[/tex]

Solve for xxx. Enter the solutions from least to greatest. (x -7)(-4x -2)=0(x−7)(−4x−2)=0left parenthesis, x, minus, 7, right parenthesis, left parenthesis, minus, 4, x, minus, 2, right parenthesis, equals, 0

Answers

Answer:

-1/2, 7

Step-by-step explanation:

Given the expression

(x -7)(-4x -2)=0

This means that;

x - 7  = 0 and -4x - 2 = 0

x = 0+7 snd -4x = 2

x = 7 and x =  -2/4

x = 7 and -1/2

Hence the solution from least to greatest is -1/2, 7

IQ scores are normally distributed with a mean of 100 and a standard deviation of 15. What is the probability that a randomly chosen person's IQ score will be between 101 and 134, to the nearest thousandth

Answers

Answer:

Step-by-step explanation:

IQ scores are normally distributed with a mean of 100 and a standard deviation of 15. What is the probability that a randomly chosen person's IQ score will be between 101 and 134, to the nearest thousandth

z = (x-μ)/σ, where x is the raw score,

μ is the population mean = 100

σ is the population standard deviation = 15

For x = 101

z = 101 - 100/15

z = 0.066667

Probability value from Z-Table:

P(x = 101) = 0.52658

For x = 134

z = 134 - 100/15

z = 2.26667

Probability value from Z-Table:

P(x= 134) = 0.98829

Therefore,

Garret starts his homework 5:30. he spends 20 minutes on reading and 15 minutes on math.

At what time does Garret finishes his homework?​

Answers

so I think the answers ~ Garrett finishes his homework at 6:05.

only thats not an option so choose E because its the closest

hopefully this helps!!!

The 3rd one please!
I’ll mark you the brainliest!!!!

Answers

Answer:

around 150 to 170 votes

Step-by-step explanation:

exactly atleast 160

GEOMETRY/WILL MARK BRAINLIST
GOD BLESS WHAT IS THE ANSWER TO THIS?

Answers

Answer:

Option 1

Step-by-step explanation:

It's asking me to write 20 words so blah blah blah.

Help asap please I really need it

Answers

This would be end up being 6in

Answer:

10 inches

Step-by-step explanation:

Find the surface area of the cylinder.

Answers

Answer:

exact: 48pi cm^2

approximate: 150.8 cm^2

Step-by-step explanation:

SA = 2 * (pi)r^2 + 2(pi)rh

SA = 2 * pi * (3 cm)^2 + 2(pi) * 3 cm * 5 cm

SA = pi(18 cm^2 + 30 cm^2)

SA = 48pi cm^2

SA = 150.8 cm^2

A ladder that is 6 meters long leans
against a building. The base of the
ladder is 1.5 meters from the base
of the building. To the nearest
hundredth of a meter, how far up
the building does the ladder reach?

Answers

Answer:

Height of building from base to ladder = 5.8 meter (Approx.)

Step-by-step explanation:

Given:

Length of ladder = 6 meters

Distance of ladder from base = 1.5 meters

Find:

Height of building from base to ladder

Computation:

Perpendicular = √Hypotenuse² - Base²

Height of building from base to ladder = √Length of ladder² - Distance of ladder from base²

Height of building from base to ladder = √6² - 1.5²

Height of building from base to ladder = √36 - 2.25

Height of building from base to ladder = √33.75

Height of building from base to ladder = 5.8 meter (Approx.)

Which of the following is the equation for a circle with a radius of r and center at (h, v)?

Answers

Answer:

the correct answer is option A

Answer: Choice D

Your book may use the template [tex](x-h)^2 + (y-k)^2 = r^2[/tex], but it's the same idea. The center here is (h,k) and radius is r.

A gift shop at an amusement park sells key chains. The gift shop has 55 key chains. When the number of key chains is below 10, the manager will reorder. If the gift shop sells 4 key chains each day, how many days will it take before the manager has to reorder?

Answers

Answer:

12

Step-by-step explanation:

this equation can be derived from the question

55 - 4x < 10

< = less than

x = number of days

solve for x

55 - 10 < 4x

45 < 4x

x < 11.25

at the 11th day, there would be 11 keys left

on the 12th day, there would be 7 keys left

the correct answer is  12 days

if there are 420 students in a school.if 40% of them are girls find the number of girls​

Answers

Answer:

168 girls

Step-by-step explanation:

420 × 0.40

= 168

Answer:

Step-by-step explanation:

no of students=420

girls percentage=40%

no of girls=40/100*420

=16800/100

=168

therefore number of girls is 168.

Which expression represents the volume, in cubic units,
of the shaded part of the sphere?
4/3(10) + 4/3(4)
4/3(10) - 4/3 (4)
4/3(20) + 4/3 (4)
4/3(20) - 4/3 (4)

Answers

Answer:

B

Step-by-step explanation:

we have to subtract the volume of the biggest one from the volume of the smallest one

for find the volume it is used the radius, not the diameter

need help quickly please!

Answers

Answer:

86

Step-by-step explanation:

Considering that it is a triangle ABC which means AB = AC + BC AB = 48 + 38 = 86

 I think that's it I hope it will help you

Three candidates were running for class president. Of the 250 students eligible to vote, 75 voted for Carlos and 32% of the students voted for LaToya. Of thsoe who didn't vote for Carlos or LaToya, 60% voted for Stephanie and the rest of the students chose not to vote.

Part 1: What percent of the eligible students voted for Carlos?

Part 2: How many votes did LaToya receive?

Part 3: How many votes did Stepanie recieve?

Part 4: Who won the election?

Answers

Answer:

Part 1) 30%

Part 2) 80 students

Part 3) 57 votes

Part 4) LaToya

Step-by-step explanation:

75 divided by 250 = 0.30 = 30%

32% = 0.32 and then 0.32 times 250 = 80 students

250 - 75 - 80 = 95 students that didn't vote for Carlos or LaToya. Then 0.60 times 95 = 57

LaToya had 80 votes, the most votes.

The answer is correct above me

Identify the conditionals and truth values implied by the following biconditional. Select all that apply.

Answers

Answer:

I believe the answer is B and C

Step-by-step explanation:

Which point is located at (4, -2)?

А
4
10
3
N
+
万一-3-2-14
--2-
1 2 3 4 5 X
B
D
-5
Ο Α
ОВ
OD

Answers

Point B is located at point (4, -2)

Missing measure help

Answers

1-35
2-77
3-48
4-77
5-62
6-28

the expression shown is the cost a customer pays for an item, where c is the cost the store pays for the item and 0.85c is the 85% price increase the store adds to the item. which expression is equivalent to c + 0.85c?

A. 0.15c

B. 0.85c

C. 1.15c

D. 1.85c

Answers

Answer is C. Do you need to show your work as well or?

What value of x would make Bl parallel to RA?

Answers

Given:

Bl parallel to RA.

To find:

The value of x.

Solution:

In triangle ATR and ITB,

[tex]\angle ATR\cong \angle ITB[/tex]              [Common angles]

[tex]\angle ART\cong \angle IBT[/tex]              [Corresponding angle]

[tex]\triangle ATR\sim \triangle ITB[/tex]              [AA property of similarity]

We know that the corresponding sides of a similar triangle are proportional. So,

[tex]\dfrac{AT}{IT}=\dfrac{AR}{IB}[/tex]

[tex]\dfrac{x}{x+8}=\dfrac{12}{18}[/tex]

[tex]\dfrac{x}{x+8}=\dfrac{2}{3}[/tex]

On cross multiplication, we get

[tex]3(x)=2(x+8)[/tex]

[tex]3x=2x+16[/tex]

[tex]3x-2x=16[/tex]

[tex]x=16[/tex]

Therefore, the correct option is C.

Please help I am really confused with this​

Answers

The answer should be A. 4 Meters

PLEASE HELP ME ASAP Given the following polynomial function, find f(-1): 2x^3 - 3x^2+7x-10

F(-1)=?

Answers

Answer:-22

Step-by-step explanation:Just put the value -1 wherever there is x.

Answer:

f(-1) = -22

Step-by-step explanation:

f(x): 2x^3 - 3x^2 + 7x - 10

Repace x = -1

f(-1) = 2(-1)^3 - 3(-1)^2 + 7(-1) - 10

f(-1) = -2 - 3 - 7 - 10

f(-1) = -22

HELP HELP?/)-(:$//))/ s

Answers

Answer:

it's the last choice

Step-by-step explanation:

x int: (1/2,0) and y int (0,2)

From a circular sheet of a radius 5 cm, a circle of radius 3 cm is removed. Find the area of the remaining sheet.

Answers

Answer:

2 cm

Step-by-step explanation:

Someone help me solve this

Answers

Answer:

x=-2

Step-by-step explanation:

1.1x +1.2x -5.4 = -10

Combine like terms

2.3x -5.4 = -10

Add 5.4 to each side

2.3x -5.4+5.4 = -10+5.4

2.3x = -4.6

Divide each side by 2.3

2.3x/2.3 = -4.6/2.3

x= -2

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