The beginning steps for determining the center and radius of a circle using the completing the square method are shown in the table.

Step 1
[original equation]: x2 + 8x + y2 − 6y = 11
Step 2
[group like terms]: (x2 + 8x) + (y2 − 6y) = 11
Step 3
[complete the square]:

Which of the following is the correct equation for Step 3? (1 point)
(x2 + 8x + 16) + (y2 − 6y − 9) = 11 + 16 − 9
(x2 + 8x + 16) + (y2 − 6y + 9) = 11 + 16 + 9
(x2 + 8x + 4) + (y2 − 6y − 3) = 11 + 4 − 3
(x2 + 8x + 4) + (y2 − 6y + 3) = 11 + 4 + 3

Answers

Answer 1

Answer:

  (b)  (x^2 + 8x + 16) + (y^2 − 6y + 9) = 11 + 16 + 9

Step-by-step explanation:

To complete the square of a binomial, the constant term of the perfect square trinomial is the square of half the coefficient of the linear term. It will always be positive.

__

Answer Choices

a) 9 is subtracted, incorrectly

b) 16 and 9 are correctly added . . . this is the correct Step 3

c) half the linear term is added, incorrectly

d) the magnitude of half the linear term is added, incorrectly


Related Questions

A bag of marbles has 3 red and 6 green marbles. What is the probability of selecting two red with replacement?

Answers

Answer:

1/9

Step-by-step explanation:

With replacement, we use the principle of multiplication with counting.

[tex]\frac{3redballs}{9total balls} * \frac{3redballs}{9total balls} = \frac{1}{3}* \frac{1}{3} = \frac{1}{9}[/tex]

The probability of selecting two red marbles with replacement is 1/9.

What is probability?

Probability is a measure of the likelihood or chance of an event occurring. It is a number between 0 and 1, where 0 means that the event is impossible and 1 means that the event is certain to occur.

If we select a marble at random from the bag, there are 3 red marbles out of 9 total marbles. After replacing the marble back in the bag, the probability of selecting another red marble is still 3/9 (assuming the first marble selected was red).

To find the probability of selecting two red marbles with replacement, we need to multiply the probabilities of each event happening.

Therefore, the probability of selecting two red marbles with replacement can be calculated as follows:

P(selecting two red marbles with replacement) = P(selecting a red marble) x P(selecting a red marble given that the first marble was red)

P(selecting two red marbles with replacement) = (3/9) x (3/9)

P(selecting two red marbles with replacement) = 1/9

Therefore, the probability of selecting two red marbles with replacement is 1/9.

To know more about probability follow

https://brainly.com/question/23947318

#SPJ2

Paul buys snacks for his flight. He compares cashews to yogurt raisins. The cashews weigh 205
grams, and the yogurt raisins weigh 186 grams. What is the difference between the weight of the
cashews and yogurt raisins?

Answers

Answer: The difference between the weight of the cashews and yogurt raisins is 19 grams.

Step-by-step explanation:

205-186 = 19 grams

hope this helps!

Find YW, would it just be 6?

Answers

Answer:

6

Step-by-step explanation:

AX=1/2XY,. BX=1/2WX

=) AB||WY and AB=1/2WY. [Midpoint theorem]

=) 2AB=WY

=) 2×3=WY

=)6=WY

PLA MARK IT AS BRAINLIEST (•‿•)(•‿•)(•‿•)

THE MIDLINE THEOREM OF A TRIANGLE

This works for triangles with a Midline having two of these properties:

The midline should be parallel to the third sideThe midline is half as long as the third side

The third side of the triangle (the one parallel to its midline) is twice the length of its midline.

Example:

The given question above:

ΔWYX

(Midline) AB = 3

YW = ?

Solution:

[tex]\frac{1}{2}[/tex] YW = AB

[tex]\frac{1}{2}[/tex] YW = 3

YW = (2)3

YW = 6

#learnwithbrainly

Solve the equation for x.

29=x4

Answers

Answer:

 29/4 or 7.25

Step-by-step explanation:

Simply divide by 4 to isolate and solve for the x-term:

[tex]x=29/4[/tex] or 7.25

1. Find the unknown length of the side labeled x.

Answers

Answer:

Step-by-step explanation:

Solve for x.
Enter your answer in the box.
X=

Answers

Answer:

x = 30

Step-by-step explanation:

2x - 6

-----------  =  9

    6

2x - 6

-----------  =  9(6)

    6(6)

2x - 6 = 54

     +6    +6

2x = 60

÷2    ÷2

x = 30

I hope this helps!

Which method would be the best to solve the following system of equations?
{5z + 3y = -7
{-2x - 3y = 19

Answers

Answer:

substitution or elimination

What is the difference between calculating probability with “and” vs “or”?

Answers

Answer:

The word or is used in probability to denote that you are computing the chance that either event A or event B occurred; both events do not have to occur. When you employ the word and, you're implying that both A and B must occur.

In Conclusion:

If either one or both of them occur, the condition is fulfilled, and the probabilities are added.

The condition is satisfied if and only if both of them occur, and the probabilities are increased.

Juan plays little league baseball. In 36 at-bats, he had 12 hits. What is the ratio of at-bats to hits?

Answers

Answer:

The Ratio is 8:16.

Step-by-step explanation:

Does anyone know the perimeter and the area of them?

Answers

perimeter: 1+4+4+2 = 11
perimeter: 2+9+4+6+7+3 = 31

-5z>10 what is the answer to that

Answers

Answer:

[tex]\boxed{\sf{z < -2}}[/tex]

Step-by-step explanation:

To solve for z, isolate it on one side of the equation.

-5z>10

First, multiply by -1 from both sides.

⇒ (-5z)(-1)<10(-1)

Solve.

Multiply the numbers from left to right.

⇒ 10(-1)=(-10)

Rewrite the problem down.

⇒ 5z<-10

Then, you divide by 5 from both sides.

⇒ 5z/5<-10/5

Solve.

Divide the numbers from left to right.

⇒ -10/5=-2

[tex]\boxed{\sf{z < -2}}[/tex]

Therefore, the correct answer is z<-2.

I hope this helps you! Let me know if my answer is wrong or not.

Answer:

z > -2

Step-by-step explanation:

Given inequality: -5z > 10

To determine the simplified inequality, we need to isolate "z". Divide -5 both sides to isolate the variable "z".

⇒ -5z > 10

⇒ -5z/-5 > 10/-5

Always remember that if you are dividing by a negative number, the inequality sign flips over.

⇒ z < -2

Thus, the simplified inequality is z < -2.


I need help with some geometry workbook pages!

Answers

Answer: D

Step-by-step explanation:

What is the volume of this cone?

Use ​ ≈ 3.14 and round your answer to the nearest hundredth​

Answers

Answer:

100 cubic centimetres

Step-by-step explanation:

Volume of Cone = 1/3 pie r^2 h

= 1/3 × 3.14 × 4 × 4 × 7

= 117.226

= 100 cubic centimetres ( nearest hundredth)

The solution set of the system of inequalities below forms a triangle on the coordinate plane. What are the vertices of the triangle?
a.
(0,10), (3,4), (8,14)
c.
(-20,0),(1,0),(8/14)
b.
(0,0), (8,0), (8,14)
d.
(0,10),(3,4),(6,10)

Answers

i think its a but i may be rong if i am just know i tryed my vary best and that i am super sorry

Does someone know how to do this? I only have a few hours before I have to turn this in

Answers

Answer:

Check out the attached photo it might help

which angles are congruent in the isosceles triangle

Answers

Answer:

angle CAB and angle BCA

Step-by-step explanation:

Hope this helps! Have a great day!!

Find the missing measures in this regular hexagon. a regular hexagon has side lengths of 16 inches. the radius is 16 inches. an apothem is shown. the length of the apothem of the hexagon is about inches. the perimeter of the hexagon is inches. the area of the hexagon is about square inches.

Answers

The apothem, perimeter, and area of the hexagon are 13.86 inches, 96 inches, and 665.11 square inches respectively.

What is a polygon?

The polygon is a 2D geometry that has a finite number of sides. And all the sides of the polygon are straight lines connected to each other side by side.

A regular hexagon has side lengths of 16 inches. the radius is 16 inches.

The length of the apothem (h) of the hexagon is about inches.

[tex]\rm h = 16\times \sin 60^o\\\\h = 13.8564 \approx 13.86 \ inches[/tex]

The perimeter of the hexagon is inches.

[tex]\rm Perimeter = 6 \times 16\\\\Perimeter = 96\ inches[/tex]

The area of the hexagon is about square inches.

[tex]\rm Area = 6 \times \dfrac{1}{2} \times 13.86 \times 16\\\\Area = 665.1075 \approx 665.11 \ inches^2[/tex]

More about the polygon link is given below.

https://brainly.com/question/17756657

Answer:

Step-by-step explanation:

The length of the apothem of the hexagon is about

✔ 13.9

inches.

The perimeter of the hexagon is

✔ 96.0

inches.

The area of the hexagon is about

✔ 667.2

square inches.

Find the area of this circle. Use 3.14 for a 11 ft The area of the circle is about ft2. (Round to the nearest hundredth as needed.)​

Answers

Answer:

Area of circle is 379.94 feet²

Step-by-step explanation:

Given:

Radius of circle = 11 feet

To Find:

Area of circle.

Solution:

Here given that radius of circle is 11 feet. Using the formula of area of circle we will get the required area of circle

Area of circle = πr²

On substituting the required values:

Area = 3.14 × (11)²

Area = 3.14 × 121

Area = 379.94 feet²

Hence,

Area of circle is 379.94 feet²

Simplify this exponential expression:

(-49) 2/5

I give Brainliest

Answers

Answer:

I thank it is 12 4/5

Step-by-step explanation:

hope this helps if not please let me now and dont worry about  brainliest my main focus is just helping people.

21. & 22. Instructions: Find the missing side. Round your answer to the nearest tenth.

Answers

answer

14.7

step by step explanation

[tex]using \: tan73 = \frac{opposite}{adjacent} \\ tan73 = \frac{48}{x} \\ 3.271 = \frac{48}{x} \\ making \: x \: the \: subject \\ x = \frac{48}{3.271} \\ x = 14.674 \\ x = 14.7 \: (approximately)[/tex]

Write a recursive formula for a_na n ​ , the n^{\text{th}}n th term of the sequence 6, 11, 16, ...6,11,16,....

Answers

It is not 6 or 11 so the only other option is 16 and because

Write an equation for a direct variation that includes the point (3, 12).

Answers

SbbahavakiNana. Hsiang Baha’i

B) Calculate the hourly rate Company A pays its employees.

Answers

Answer:

200

Step-by-step explanation:

This is for 25 points please don't spam.

Answers

Answer:

D.

Step-by-step explanation:

REarranging the fromula:

F  = m . a

M is  in grams and acceleration is in meters / second squared

grams . metres per second squared.

Answer:

D) grams · meters per second squared

Step-by-step explanation:

[tex]\sf a=\dfrac{F}{m} \implies F=ma[/tex]

If a has units of  [tex]\sf ms^{-2}[/tex]

If m has units of [tex]\sf g[/tex]

Then as F is the product of m and a, then

F has units of [tex]\sf g \cdot ms^{-2}=gms^{-2}[/tex]

How could you find the distance between the points (-2.5, 4.5) and (1.25, 4.5)?

Answers

Answer: By using the distance formula

Step-by-step explanation:

   The distance formula can be used to find the distance between two coordinate points, as given here. They come in the order of (x, y) and you would plug in your values.

Need to solve for the distance?

   Taking the formula, we will plug in the coordinate points given and solve.

    [tex]\displaystyle d = \sqrt{(x_{2}-x_{1})^{2} +(y_{2}-y_{1})^{2}}[/tex]

    [tex]\displaystyle d = \sqrt{(1.25--2.5)^{2} +(4.5-4.5)^{2}}[/tex]

    [tex]\displaystyle d = \sqrt{(1.25+2.5)^{2} }[/tex]

    [tex]\displaystyle d = \sqrt{(3.75)^{2} }[/tex]

    [tex]\displaystyle d =3.75[/tex] units

   

Find the length of b to the nearest tenth.
(BRAINLIEST :D)

Answers

Answer:

1.7

Step-by-step explanation:

You can use the 30/60/90 triangle rule, but it was quicker for me to do. SIN(60)=b/2. If you want a more in depth explanation just reply to this but I have to go right now so I will do it later.

The first rule is add 12, then divide by 2 starting from 4. The second rule is multiply by 2, then subtract 2 starting from 3. What are the first four ordered pairs using the two sequences? (4, 4), (8, 6), (10, 10), (11, 18) (0, 4), (3, 6), (4, 10), 5, 18) (4, 3), (8, 4), (10, 6), (11, 10) (0, 3), (3, 4), (4, 6), (5, 10). I WILL MARK BRAINLIST. MY BROTHER NEEDS HELP WITH MATH LOLOLOLOLOLOLOLOLOLOLOLOLOL

Answers

Answer:

(03,)(4,4(4,6),(5,10)

Step-by-step explanation:

I’m smart I have an A + so it’s correct

A. Find the perimeter of each figure
(Math) [please answer this correctly] thank you

Answers

Answer:

∴ Perimeter = sum of all sides

figure 1.
Perimeter = 15 + 7 + 15 + 7
Perimeter = 44 cm

figure 2.
Perimeter = 8 + 8 + 10
Perimeter = 26 cm

figure 3.
Perimeter = 8 + 8 + 8 + 8
Perimeter = 32 cm

figure 4.
Perimeter = 17 + 17 + 32
Perimeter = 57 cm

figure 5.
Perimeter = 24+ 9 + 9 + 27
Perimeter = 69 cm

Hope this helps...

The graph below shows the relationship between the number of oranges purchased and the cost. Which statement about the unit rate of the graph is true?
The unit rate is 1.


The unit rate is13

The unit rate is 3.


The unit rate is 9.

Answers

Answer: The unit rate is 1/3

Step-by-step explanation:

The slope of the line, which also represents the unit rate, is 1/3.

log(3y+2)-1=log(y-4) solve y​

Answers

[tex]\log_{10} (3y+2) - 1 = \log_{10}(y-4)\\\\\implies \log_{10} (3y+2) - \log_{10} 10 = \log_{10} (y-4)\\\\\implies \log_{10} \left( \dfrac{3y+2}{10} \right) = \log_{10} (y-4)\\\\\implies \dfrac{3y+2}{10} = y-4\\\\\implies 3y+2 = 10y-40\\\\\implies 10y-3y = 40+2\\\\\implies 7y = 42\\\\\implies y = \dfrac{42}7\\\\\implies y = 6[/tex]

Other Questions
If a ballon uses heat as energy to rise, how do you think it is able to come back down to the ground? Where does the energy go? Mitosis and Binary Fission are very similar except when comparing the size of the new daughter cells relative to the original parent cell.True or false? In your own words, describe the Gaia hypothesis. i think its #1 but whats the work? identify if it's reflection or refraction Completez sa description en mettant le verb appropriate de la liste a Iimparfait. According to Census 2000, what is the national median age for the total population?4502535 Step 1: Study the list of nine images at the bottom of the screen and select five that represent what you believe were the greatest factors that contributed to the fall of the Soviet Union. There is no correct order for this activity; however, you must be able to justify the order that you have selected. Step 2: Create a photo story by arranging the images in order of importance and write a description for each image. Each description should include the following elements: The description should be two to four sentences in length. The description should explain Who, What, Where, When, and Why the person/event is important. Step 3: Finally, you will need to explain your choices by writing a one-paragraph summary explaining your ranking and providing an overall picture of the demise of communism in the Soviet Union. The summary paragraph should include the following elements: be at least five sentences in length justifies why you placed these five images in the order that you did contains accurate information presents the subject clearly demonstrates an understanding of the fall of the Soviet Union is organized What is the quotient?690/16 A. B. C. D. 15. A diploid cell is one that a. has two homologues of each chromosome. b. is designated by the symbol 2n. C. has chromosomes found in pairs. d. All of the above What are the components of both hydraulic and pneumatic fluid systems? Why do you think expression of feelings is important? Gabriel has these bags of chips in his kitchen cabinet. 3 bags of Takis 2 bags of Doritos Cool Ranch 2 bags of Hot Cheetos 2 bags of Funyuns 1 bag of RufflesGabriel will randomly choose one bag of chips. Then he will put it back and randomlychoose another bag of chips. What is the probability that he will choose a bag ofFunyuns and then a bag of Hot Cheetos?The probability that he will choose a bag of Funyuns and then a bag of Hot Cheetos isend.:125:::42 Neutrons are neutral. This means that A. neutrons are not involved in chemical reactions. B. neutrons do not have a charge. C. neutrons are neither acidic nor basic. D. neutrons do not have mass. Explain the ways in which the debate over slavery has led to early sectionalism in the United States I NEED THIS ANSWER NOW book burnings and rallieslaws passed in the Reichstaglaws passed in the Bundesratcreation of the Judenrat to handle Jewish affairs in Germany Divide and simplify. 8 15 3 5 A) 3 25 B) 4 5 C) 13 15 D) 8 9 A 100 points PLEASE SOLVE THIS QUICKLY Log 50/ Log 6 -3 Multiple choice questlohthe combining formin the term pneumonia means lung or air.pneuum/opneum/pneumon/ia When have you thought about leaving your comfort zone, but decided not to? Give at least one example. How did you feel about your decision?