What is the value of a for the following circle in general form? x^2+y^2+ax+by+c=0

Answers

Answer 1

Lets' solve for:
X^2 + y^2 + ax + by + c = 0

Step 1: Add -x^2 to both sides

ax + by + x^2 + y^2 + c + - x^2 = 0 + - x^2

ax + by + y^2 + c = - x^2

Step 2: Add - y^2 to both sides

ax + by + y^2 + c + - y^2 = - x^2 + y^2

ax + by + c = - x^2 - y^2

Step 3: Add - by to both sides

ax + by + c + by = - x^2 - y^2 + - by

ax + c = - by - x^2 - y^2

Step 4: Add - c to both sides

ax + c + - c = by - x^2 - y^2 + - c

ax = - by - x^2 - y^2 - c

Step 5: Divide both sides by x.

ax/x = - by - x^2 - y^2 - c/ x

a = - by - x^2 - y^2 - c/x

Answer is:

a = - by - x^2 - y^2 - c/x

Answer 2:

This circle has a radius of [0 – (–6)]/2 = 3 and is centered at (–2, –3). Drawing a diagram is helpful for getting a grasp on this.

The standard equation for a circle is (x – h)^2 + (y – k)^2 = f^2, where h is the x-coordinate of the center, k is the y-coordinate, and r is the radius length. Substituting our values, the standard equation is:

(x + 2)^2 + (y + 3)^2 = 9

Now expand the squared binomials and reorder the terms to match the specified form:

(x + 2)^2 + (y + 3)^2 = 9
x^2 + 4x + 4 + y^2 + 6y + 9 = 9
x^2 + y^2 + 4x + 6y = 0

And there you go!

Answer 2

Final answer:

The 'a' in the equation refers to the coefficient influencing the horizontal shift of a circle's center. To find 'a', you often need specifics about the circle, such as its center or radius. When such information is provided, the quadratic formula can be used to solve it.

Explanation:

The given equation x2+y2+ax+by+c=0 represents the general form of a circle equation. The value of 'a' is a coefficient that impacts the horizontal shift of the circle along the x-axis. Unfortunately, without specific values attached, it is impossible to directly calculate 'a'. Nevertheless, if the equation is compared to the completed square form of a circle equation, i.e., (x-h)2+(y-k)2=r2, you can ascertain that 'a' would be -2h, where h is the x-coordinate of the circle's center.

In specific examples, for instance, if a = 1, b = 0.0211, and c = -0.0211, we can solve for x using the quadratic formula -b ± √b² - 4ac divided by 2a yielding -0.0211 ± √(0.0211)2 − 4(1)(−0.0211)/2(1), where 'a', 'b', 'c' are the coefficients from the equation of a circle in its general form.

Learn more about Circle Equation here:

https://brainly.com/question/36026103

#SPJ13

Related Questions

Billy is creating a rectangular patio in his backyard using square cement tiles. The length of the patio, in feet, is represented by the function l(x) = x + 5, and the width of the patio is represented by the function w(x) = x + 3. Write the standard form of the function which describes the total area of the patio, a(x) in terms of x, the side length of each tile.

Answers

The area of a rectangle by definition is given by:
a = (l) * (w)
Where,
w: width
l: long
Substituting the values we have:
a (x) = (x + 5) * (x + 3)
Rewriting:
a (x) = (x ^ 2 + 3x + 5x + 15)
a (x) = x ^ 2 + 8x + 15
Answer:
The standard form of the function which describes the total area of the patio, a (x) in terms of x is:
a (x) = x ^ 2 + 8x + 15

To find the function for the total area of Billy's patio, a(x), we multiply the length function, l(x) = x + 5, by the width function, w(x) = x + 3. Expanding this multiplication gives us the standard form a(x) = x² + 8x + 15.

Billy is creating a rectangular patio in his backyard using square cement tiles. The function for the length of the patio is l(x) = x + 5, and the function for the width is w(x) = x + 3. To find the function that describes the total area of the patio, a(x), in terms of x, we can multiply the length function by the width function.

First, let's define the area of a rectangle as the product of its length and width: a = l x w. Substituting our functions in, we get:

a(x) = (x + 5) x (x + 3)

Now we will expand this to write it in standard form:

a(x) = x² + 3x + 5x + 15
a(x) = x² + 8x + 15

Therefore, the standard form of the function describing the total area of the patio in terms of x, the side length of each tile, is a(x) = x² + 8x + 15.

Five years ago, Tim’s mom was three times Tim’s age today. Now their combined ages are 45. How old is Tim’s mom today?

Answers

To solve this problem, you must name a variable, create expressions representing the parts of the problem, and then set up an equation.

Let Tim's age today be t. Since Tim's mom's age five years ago was 3 times Tim's current age, Tim's mom's current age is equal to 3t + 5.
Their ages are collectively 45, so Tim's age t and Tim's mom's age 3t + 5 must be equal to 45. Set up an equation and solve for the variable t.

45 = t + (3t + 5)
45 = t + 3t + 5
45 = 4t + 5
40 = 4t
10 = t

Tim is currently 10, and after plugging 10 for t into 3t + 5, we see that Tim's mom is 35.

Now let's check our work. Their combined ages are 45; 10 plus 35 is equal to 45, so that is correct. Further, addressing the "Five years ago, Tim's mom was three times Tim's age today" bit, we see that 10 - Tim's current age - times 3 is equal to 30, which would be Tim's mom's age 5 years ago.

Answer:
Today, Tim's mom is 35.

Answer:

35 years

Step-by-step explanation:

45 = t + (3t + 5)

45 = t + 3t + 5

45 = 4t + 5

40 = 4t

10 = t

3*10=30,

30+5=35

A square pyramid has a base length of 6 inches and a height of 8 inches. What is the volume of this pyramid? Enter your answer in the box. in³

Answers

V = 1/3 a^2 h
V = 1/3(6^2)(8)
V = 1/3(36)(8)
V = 96 in^3

Final answer:

The volume of the square pyramid with a base length of 6 inches and a height of 8 inches is 96 cubic inches.

Explanation:

To find the volume of a square pyramid, you can use the formula V = (1/3) × base area × height, where the base area is the area of the square base. Since the base length is 6 inches, the area of the base is 6 in. × 6 in. = 36 in.². The height of the pyramid is 8 inches. So, the volume of the pyramid can be calculated as follows:

V = (1/3) × 36 in.² × 8 in. = 96 in.³

Therefore, the volume of the square pyramid is 96 cubic inches.

if a + b = -5 and x + y = -5, what is 6y + 6x - b - a

Answers

6(x +y) -(a +b) = 6(-5) -(-5)
= -25

Which is the best definition of a square? A. a 4-sided polygon with all sides equal B. a parallelogram with all sides equal and all angles equal C. a combination of a rectangle and a trapezoid D. a 4-sided polygon with all angles equal

Answers

I would say B) A parallelogram with all sides equal and all angles equal. Parallelograms aren't all squares. They can be rectangles and rhombuses. I would say B. They all have the same lengths on all sides. They all have the same angles as well. Take a look at the pictures below. They are all parallelograms. All sides are the same, and all angles are the same.

Hello,

The answer should be option B "a parallelogram with all sides equal and all angles equal".

Reason:

The answer is option B because a square is a parallelogram with all sides and angles equal. Its not option A because a square is not a polygon but does have equal sides. Its also not option C because a square is a rectangle but not a trapezoid therefore not combined. Its also not option D because its not a polygon but does have four sides which saying there not equal therefore not the answer.

If you need anymore help feel free to ask me!

Hope this helps!

~Nonportrit

In a group of 25 factory workers, 20 are low-risk and five are high-risk. two of the 25 factory workers are randomly selected without replacement. calculate the probability that exactly one of the two selected factory workers is low-risk.

Answers

Let
L=event that a selected worker has low risk
H=event that a selected worker has high risk

We need to find
P(HL)+P(LH)
=5*20/(25*24)+20*5/(25*24)
=1/6+1/6
=1/3

What is 2/7 = 2x what would be the answer

Answers

Hi there!

2/7 = 2x
x = 2/7 ÷ 2
x = 1/7

Hope this helps!

Who topping covers more of the pizza 2/8 or 5/8

Answers

Hello,

The answer should be "5/8".

Reason:

My teacher taught me that the fractions with the smaller numbers is the greater number than the fraction with bigger numbers therefore your answer is 5/8!

2/8 < 5/8

Therefore its greater topping.

If you need anymore help feel free to ask me!

Hope this helps!

~Nonportrit

5/8ths because it is larger number and if you change it into a a decimal then they would be 2/8 = 0.25
5/8 = 0.625
between these two numbers 0.625 is the largest and hence 5/8 covers more toppings than 2/8 does.

I love cheese pizza

Draw a number line and show all numbers that are between 1 and 20 and have exactly 4 factors

(or visualize, make it somewhat close to being a number line)

(work with a number line all positives, 1 being smallest, 20 being biggest.

Answers

1 = 1 x 1
1 factors

2 = 1 x 2
2 factors

3 = 1 x 3
2 factors

4 = 1 x 4
4 = 2 x 2
3 factors

5 = 1 x 5
2 factors

6 = 1 x 6
6 = 2 x 3
4 factors

7 = 1 x 7
2 factors

8 = 1 x 8
8 = 2 x 4
4 factors

9 = 1 x 9
9 = 3 x 3
3 factors

10 = 1 x 10
10 = 2 x 5
4 factors

11 = 1 x 11
2 factors

12 = 1 x 12
12 = 2 x 6
12 = 3 x 4
6 factors

13 = 1 x 13
2 factors

14 = 1 x 14
14 = 2 x 7
4 factors

15 = 1 x 15
15 = 3 x 5
4 factors

16 = 1 x 16
16 = 2 x 8
16 = 4 x 4
5 factors

17 = 1 x 17
2 factors

18 = 1 x 18
18 = 2 x 9
18 = 3 x 6
6 factors

19 = 1 x 19
2 factors

20 = 1x 20
20 = 2 x10
20 = 4 x 5
6 factors

So they are 6, 8, 10, 14 and 15 on the number line

1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20
-------------------------------------------------------------------

Numbers which have exactly 4 factors between 1 and 20 are 6, 8, 10, 14, 15 represented on number line.

Define factor ?

" In mathematics factor is a number by which when we divides another number remainder is zero."

According to the question,

Factors of all the numbers between 1 and 20

2, 3, 5, 7, 11, 13, 17, 19 are prime number , so they have only two factors.

4 = 1, 2, 4

6 = 1, 2, 3, 6

8 = 1, 2, 4, 8

9 = 1, 3, 9

10 = 1, 2, 5, 10

12 = 1, 2, 3, 4, 6, 12

14 = 1, 2, 7, 14

15 = 1, 3, 5, 15

16 = 1, 2, 4, 8, 16

18 = 1, 2, 3, 6, 9, 18

Hence, we conclude that numbers which have exactly 4 factors between 1 and 20 are 6, 8, 10, 14, 15.

Learn more about factors here

https://brainly.com/question/24182713

#SPJ2

plez help What is the value of y in the equation 4 + y = −3?

7
1
−1
−7

Answers

The value of y is -7 because you will add 4 on both sides and adding to negatives is adding and keeping the sign of the larger number.

The answer would be -7, as 4+-7=-3

(−4)−(−2)–{(−5)–[(−7)+(−3)–(−8)]}

Answers

(−4)−(−2)–{(−5)–[(−7)+(−3)–(−8)]}
(−4)−(−2)–{(−5)–[−7−3+8)]}
(−4)−(−2)–{(−5)–[-2]}
(−4)−(−2)–{(−5)+2}
(−4)−(−2)–{−5+2}
(−4)−(−2)+3}
(−4)+2+3}
(−4)+5}
1

Final answer:

To solve the complex expression involving negative numbers, the order of operations must be followed, dealing with the innermost brackets first and proceeding outward to determine the final answer is 1.

Explanation:

The expression given by the student is a mathematical expression involving negative numbers and the order of operations. To solve the expression (−4)−(−2)–{(−5)–[(−7)+(−3)–(−8)]}, we need to follow the order of operations, also known as PEMDAS or BODMAS, which stands for Parentheses/Brackets, Exponents/Orders, Multiplication and Division (from left to right), and Addition and Subtraction (from left to right).

Start by solving the innermost brackets: (−7) + (−3) – (−8) = −10 – (−8) = −2.Next, address the curly brackets by subtracting the result from step 1 from (−5): (−5) – (−2) = −3.Finally, solve the outermost expression by subtracting (−2) from (−4) and then subtracting the result of step 2: (−4) − (−2) – (−3) = −2 – (−3) = 1.

Therefore, the final answer to the expression is 1.

Javier buys 12 bagels for $2.50. At this rate how many bagels could Javier buy for $6.25?

A. 18
B. 30
C. 31
D. 48

Answers

He can buy 30 bagels.
2.50/12=0.21
Each is about $.21.
6.25/.21=29.9=30

That means Javier can buy 30 bagels.

Hope this helped☺☺

the answer could possible be c

Find the value of side A on the right triangle, given that side B = 12 cm and side C = 15 cm

Answers

{a}^{2} + {b}^{2} = {c}^{2} [
15-12=3
3sqared=9

A=9

Tom weighs 168.5 pounds. His son weighs 33.7 pounds. How many times as much as his son does Tom weigh

Answers

168.5 divided by 33.7 is 5
Tom weights 5 times his son’s weight

Tom ways 56.7% more then his son, I believe.

How many ways are there to pick 8 balls from large piles of (identical) red, white, and blue balls plus 1 pink ball, 1 lavender ball, and 1 tan ball?

Answers

Suppose order does not matter, then combinations will consist of 0 to 3 of the singleton colors, and 5 to 8 that are some combination of red, white or blue. This implies that we shall formulate the answer as the sum from k=0 to k=3 of:
N=(Number of ways to pick k of the single colors)*(number of ways to pick 8-k balls from red, white pr blue)
The first factor is C(3,k), let's call the second factor A(8-k), where A(n) is the number of combinations or red, white or blue when n balls are selected. Given that we want to express A(n) as a formula in terms of n, let's say there are r red balls in a combination (0≤r≤n). Then there are (n-r) balls that are either white or blue that have been left over. Thus, the number of white balls must be integer from 0 to (n-r), for the universe of (n-r+1) possibilities. Hence, the rest are blue in exactly one way, so A(n) is the sum over r=0 to n:

A(n)=∑(1+n-r)
A(n)=(n+1)(n+1)-n(n+1)2
=(n+1)(2n+2-n)/2
=(n+1)(n+2)/2

thus
A(5)=6*7/2=21
A(6)=7*8/2=28
A(7)=8*9/2=36
A(8)=9*10/2=45

The total will give:
N=C(3,0)*A(8)+C(3,1)*A(7)+C(3,2)*A(6)+C(3,3)*A(5)
N=1*45+3*36+3*28+1*21=258

The answer is 258

A car traveled at an average rate of 51 miles per hour on one highway. It then traveled at an average rate of 71 miles per hour on a second highway. If the car traveled a total of 508 miles in 8 hours, how many miles were driven on the first highway?

Answers

I think it is 63.5 but I am not 100% sure though.

Suppose that you have a goal to drive two miles at an average rate of 60 miles per hour (mph). during the first mile you travel at a rate of 30 mph. how fast would you need to travel during the second mile in order to reach your goal of 60 mph for the total two mile distance? (hint: remember that rate is found by taking distance divided by time.)

Answers

Your goal requires you complete the distance in 2 minutes. If you travel at half the target speed, you will have used up the allowed time traveling the first half of the distance.

You need to travel the second mile at infinite speed to average 60 mph.

There are 50 dimes in a roll of dimes, 40 nickels in a roll of nickels, and 40 quarters in a roll of quarters. Rob has 12 rolls of coins with a total value of $70.00. He has 3 more rolls of nickels than dimes. How many rolls of each coin does he have?

Answers

5 rolls of quarters, 2 rolls of dimes, 5 rolls of nickles.

8 students can ride in each van. How many vans are needed for 29 students?

Answers

5. the bus number 5 wont be completely full of students.

There is the need for 4 vans.

To determine how many vans are needed for 29 students, with each van able to transport 8 students, we can use division and then round up, since you can't have a fraction of a van. We divide 29 students by 8 students per van, which gives us 3.625. Since we can't have 0.625 of a van, we need to round up to the next whole number to ensure all students have a seat. That means we need 4 vans to transport 29 students.

Divide the total number of students by the number of students each van can hold: 29 / 8 = 3.625.

Round this number up to the nearest whole number, because you need whole vans: This gives us 4.

Thus, you need 4 vans to transport 29 students.

The base of a 6-inch long ice cream cone with a diameter of 2 inches, is cut 0.25 inches from the base. This cut creates two shapes, one is a cone, and the other one resembles a cylinder since it was cut so close to the base. What is the BEST estimate for the volume of the shape that resembles a cylinder?

Answers

0.79 cubic inches i hope this helps you

Point E is located at (2, −3) and point F is located at (−2, −1). Find the y value for the point that is 3 over 4 the distance from point E to point F.
A. -2.5
B. -4.5
C. -3.5
D. -1.5

Answers

Y-E = (3/4)(F -E)
Y = (3/4)F -(3/4)E +E
Y = (3F +E)/4
Y = (3(-1) +(-3))/4 = -6/4 = -3/2

the appropriate choice is D. -1.5

Decide whether the sequence is arithmetic geometric or neither 5,-10,20, -40

Answers

Try this option^
note, that all members of this sequence have '-' and '+' and 5*(-2)=-10, -10*(-2)=20; 20*(-2)=-40.
It means, that the suggested sequence is geometric, where b₁=5, q=-2.

what statement about this figure is true-- i know its one of the last two but they both seem right to me

Answers

The third one, " It has rotational symmetry with an angle of rotation of 90"

what are the roots of the equation?
x^2+24=14x

enter answers in the boxes

Answers

X²-14X+24=0
(X-2)(X-12)=0
X=2 OR X=12

^2 and ^1

if they want you to solve then

12/7=-x

Which of these distance measures would you most likely find on a walking tour map of downtown Paris, using the metric system?

A. Kilo feet
B. Millimeters
C. Centimeters
D. Meters

Answers

The answer would be meters

Answer:meters

Step-by-step explanation:

A jar contains 26 fluid ounces of spaghetti sauce. How many cups of spaghetti sauce do 4 jars have

Answers

we know that
1 ounces------------------> is 0.125 cup

if one jar contains------------------> 26 ounces of spaghetti sauce
4 jars---------------------------------> X
X=4*26-----------> 104 ounces

if one ounce---------------> 0.125 cup
104 ounces----------------> X
X=104*0.125-----------> 13 cups

the answer is 13 cups

How many extraneous solutions does the equation below have? 9 over n squared +1 =n+3 over 4? 0 1 2 3

Answers

The answer is 0. While the answer for n is approximately 2.384503, there are no EXTRANEOUS solutions. Again, the answer is a.) 0

Answer:

Option 1 - There is no extraneous solution i.e. 0.

Step-by-step explanation:

Given : Expression [tex]\frac{9}{n^2+1}=\frac{n+3}{4}[/tex]

To find : How many extraneous solutions does the equation have ?

Solution :

First we solve to expression to determine the extraneous solution,

[tex]\frac{9}{n^2+1}=\frac{n+3}{4}[/tex]

Cross multiply,

[tex]9\times 4=(n+3)(n^2+1)[/tex]

[tex]36=n^3+n+3n^2+3[/tex]

[tex]n^3+3n^2+n-33=0[/tex]

An extraneous solution is defined as a solution, such as that to an equation, that emerges from the process of solving the problem but is not a valid solution to the problem.

The equation form is a cubic function so it has 3 solutions.

Therefore, There is no extraneous solution.

what is one fourth of 7?

Answers

1.75 or 1/34 I hope this helps pls make be brainliest

Hello there! Your answer is (1.75) hope it helps and have a wonderful day!

PLEASE HELP WILL GIVE BRAINLIEST!!! What is the y-intercept of f(x)=(1/2)^x

Answers

Try this explanation:

'y-interception' means x=0.

If x=0, then y=1.

answer: (0;1)

Ella used 1/4 yard of red ribbon. Fill in each box with a number from the list to show equivalent fractions for 1/4

Answers

While you do not have your choices listed, equivalent fractions to 1/4 could be:

2/8; 3/12; 4/16; 5/20; 6/24; etc.

To find equivalent fractions, we multiply the numerator and denominator by the same number.

Answer:

To find fractions equivalent to a given fraction, the process of amplifying the numerator and the denominator of that fraction must be performed. Specifically, each element is amplified by multiplying it by a positive integer. Thus, fractions equivalent to 1/4 are:

(1x2) / (4x2) = 2/8

(1x3) / (4x3) = 3/12

(1x4) / (4x4) = 4/16

(1x5) / (4x5) = 5/20

(1x6) / (4x6) = 6/24 ... Successively.

Step-by-step explanation:

Other Questions

The plant grew towards the window find the circumference of a circle with diameter 8 meters Can anyone help me please solving this maths problems not sure if. Thanks In World War I, both submarines and zeppelins allowed combatants to bomb enemy trenches deliver large numbers of troops reduce marine traffic spy on the enemy 9.Which statement is completely true?A.Postmodernists look to make sense of the world through art.B.Modernists look to art, including literature, as a means by which humanity can become better.C.Romanticists view society as a competitive jungle where some people flourish while others suffer.D.Naturalists recount natural events to teach lessons about right and wrong Consider the statement below. More than 20 students participated in a drawing competition. Which number line best represents the statement? Permitting the exchange of nutrients and gases between blood and tissue cells is the primary function of _____. question 4 options: oil found in texas is an example ofA. Human capital B. A capital resource C. A labor resource D. An entrepreneur The average mass of a rhinoceros calf is 45 kg. What is its weight in newtons? Round your answer to the nearest whole number.A. 5NB. 45NC.250 ND. 441 NI will mark brainliest for whoever gets this right in the first 5 min You are a biomedical researcher who is interested in designing a drug to increase bone density. You have decided you can take one of two approaches: (1) design a drug that stimulates bone to be built faster, or (2) design a drug that prevents bone from breaking down. To begin this process, you need to study the cells that would likely respond to either drug 1 or drug 2. Which cells are these? Jennifer Jolie, bookkeeper for Keystone Company, forgot to send in the payroll taxes due on April 15. She sent the paymentNovember 8. The IRS sent her a penalty char ge of 8% simple interest on the unpaid taxes of $4,100. Calculate thepenalty. (Remember that the government uses exact interest.) No te preocupes, ya nos ____. un ao ms y nos mudamos! In which of the following experiments would the results be most reliable? A. an experiment in which the trials were repeated many times B. an experiment which contained no controls C. an experiment in which the trial was repeated a few times D. an experiment which contained several variables What was real per capita GDP in 1933 measured in 2008 prices? (Use the data in the table below and a price index of 100/1400 to compute your answer.)Year Nominal GDP Population Nominal per capita GDP1933$ 56 billion 126 million $ 4442008 14,369 billion 300 million 47,897Instructions: Enter your response as a whole number. i need help, What additional purpose did forts, such as Fort Gibson and Fort Towson, serve after the Indian Removal Act was passed in 1830? In Design view, how many rows per line can be created? A. Two B. Three C. An unlimited number D. One Fungi are different from plants because _____. Read the following scenario. Jacob Smith is an African-American man in his fifties. He heads to a local restaurant for dinner and is told by the hostess that he is going to have to sit on that side of the establishment, as she gestures to a part of the restaurant where only other African-Americans are sitting. Mr. Smith feels offended and leaves the restaurant. Based on passage of the Civil Rights Act, what is Mr. Smiths best recourse?A. filing a claim with the U.S. attorney general to investigate the restaurant. B.contacting the Justice Department about a potential discrimination lawsuit. C.asking the restaurants manager to stop segregating customers. demanding D.the Census Bureau send him data about the restaurants typical customer base. Which equation is the inverse of y = 9x^2 - 4? What is the factored form of 8x2 + 12x?4(4x2 + 8x)4x(2x + 3)8x(x + 4)8x(x2 + 4)