consider equation of circle x2-2x+y2-4y-4=0,if line 2x-y+a=0 is its diameter then find value of a

Answers

Answer 1

Answer:

Step-by-step explanation:

x² - 2x + y² - 4y - 4 = 0

x² - 2x + y² - 4y = 4

complete the squares

(x² - 2x + x₀) + (y² - 4y + y₀) = 4

the unknown number will be the square of half of the x¹ coefficient

(x² - 2x + 1) + (y² - 4y + 4) = 4 + 1 + 4

(x - 1)² + (y - 2)² = 9

This tells us that the circle is centered on (1, 2)

Which is also a point on the diameter

2x - y + a = 0

a = y - 2x

a = 2 - 2(1)

a = 0


Related Questions

What is 18x77 with algorithm

Answers

Answer:

1386

Step-by-step explanation:

First multiply 8 and 77 to get 616

Then multiply 10 and 77 to get 770

Finally, add them all together to get 1386

Answer:

the answer is 1,386. ......

Gemma and Leah are both jewelry makers, Gemma made 106 beaded necklaces. Leah
made 39 more necklaces than Gemma.
Each necklace they make has exactly 104 beads on it. How many beads did both
Jewelers use altogether while making their necklaces? How many necklaces did Gemma and Leah each make

Answers

Answer:

Gemma made $34 more than Leah.

Step-by-step explanation:

Gemma made number of beaded necklaces = 106

Leah made 39 more necklaces than Gemma.

Leah made number of beaded necklaces  = 106 + 39 = 145

a. There are 104 beads on each necklace.

The total number of beads used altogether

= (106 × 104) + (145 × 104)

= 11,024 + 15,080

= 26,104

b. Gemma sold her 106 necklaces for = $14

Total price of her necklaces = 106 × 14

                                              = $1,484

Leah sold her 145 necklaces for = $10

Total price of her necklaces = 145 × 10

                                              = $1,450

Difference in Gemma and Leah's amount = 1484 - 1450 = $34.00

Therefore, Gemma made $34.00 more money than Leah.

Hilary walked 654 feet in 3 minutes. She says she walked 218 feet per minute. Is Hilary’s
answer reasonable? Explain.

Answers

Yes!
Because if she is walking 218 feet per minute then if you multiply 218 by 3 we get 654 feet
Which means she must have travelled 654 feet in 3 minutes in order for it to be true which it is! Hope this helps!

help me please hhhhhjjkk

Answers

Answer:

x=11

Step-by-step explanation:

This is an exterior angle theorem question.

To answer this question, you must know what the exterior angle theorem is:

An exterior angle of a triangle is equal to the sum of the two opposite interior angles. (not my definition)

So first, you need to add the two opposite interior angles.

3x+8+2x+9 is equal to 5x+17.

Then, you make an equation setting 5x+17 equal to the exterior angle.

5x+17 = 8x-16.

To solve this equation, first add 16 on both sides

→5x+33 = 8x

Then, subtract 5x on both sides

→ 33 = 3x

Finally, divide both sides by 3 to get x=11

Which of the following best describes
the slope of the line below?
• A. Positive
• B. Negative
• C. Undefined
D. Zero

Answers

Answer:

A. Positive I'm sorry if I got this wrong answer

Answer:

Please add the picture

Step-by-step explanation:

If it point upward right: positive

if it point downward: negative

If it is just a horizontal line : zero

Integrated project 4

Answers

Answer:

what about the integrated project please

factor and solve the zeros for the following x^2+10x-75=0

Answers

x=5,−15 I know I took it

What are the first five terms of the arithmetic progression with the first term 8 and common difference 7 , then find the 17th?.

Answers

Step-by-step explanation:

a1 = 8

a2 = 8 + 7 = 15

a3 = 15 + 7 = 22

a4 = 22 + 7 = 29

a5 = 29 + 7 = 36

an = an-1 + 7 = a1 + 7×(n-1)

a17 = 8 + 7×16 = 8 + 112 = 120

If 9 : x = x:4, then x = _____. 36 18 24 6

Answers

Solution: 9:x = x:4

⇛9/x = x/4

By doing cross multiplication, we get

⇛9(4) = x(x)

⇛36 = x²

⇛x² = 36

⇛x = √(36)

⇛x = √(6*6)

∴ x = 6 Ans.

also read similar questions: Which equations have the same value of x as 2/3(6x+12)=-24? Check all that apply.1. 4x+8=24 2. 9x+18=-24 3. 4x+12=-24 4. 18x+36/2=-24 5. 4x=-36 6. 4x=-32 7. x=-... https://brainly.com/question/6702722?referrer

If 9 : x = x:4, then x = 6

Find the equation of BOTH tangent lines to the circle (x+4)2 + (y-3)2 = 25 along y=6

Answers

Answer:

x=0 ,y=6

Step-by-step explanation:

solve for the first variable in one of the equations

Which of the following satisfy x ≥ 4.1? Select all that apply.
x = 4
x = 3.5
x = 4.5
x = 4.1​

Answers

Answer:

x = 4.5

x = 4.1

Step-by-step explanation:

The picture can be represented by the equation 40 divided by 8 equals 5.

Answers

Answer:

what is to do here

[tex] \sqrt[8]{40} = 4 \\ 5[/tex]

the answer like this up will be 5 what grade question

HELP ME. NO LINKS!! PLEASE

Answers

Answer:

it's ether d or a

Step-by-step explanation:

i hope this helps you!

Which is true? A 0.9919 > 0.999 B 1.4359 < 1.446 C 2.6953 = 2.75 D 4. 9395 > 5.0

Answers

Option B. is true.

A isn't true because 0.9919 is lesser than 0.999.C is false because 2.6953 is lesser than 2.75. They are not equal.D is also false because 4.9395 is not greater than 5.0.

Answer:

B. 1.4359 < 1.446

Hope you could get an idea from here.

Doubt clarification - use comment section.

Helpp! Part B- What is the equation of the line representing the cost of regular yogurt?
Part C- Lucia’s purchases 32 ounces of the less expensive yogurt. How much does the yogurt cost?

Answers

Answer:

10 to 1

Step-by-step explanation:

if 0 went to up there 10 you'd have to

Find the quotient. If possible, rename the quotient as a mixed number or a whole number. Write your answer in simplest form, 2 1/7 divided by 1 2/5 =?

Answers

Answer:

1 26/49

Step-by-step explanation=

2 1/7 ÷ 1 2/5

15/7 over 1 2/5

15/7 over 7/5  

75/49  

= 1 26/49

can someone help me pls?

three friends each have some ribbon. Carol has 42 inches of ribbon, Tino has 2.5 feet of ribbon, and baxter has 1.5 yards of ribbon. express the total length of ribbon the three friends have in inches, feet, and yard.
____ inches = ____ feet = ____ yards

Answers

Answer:

126 inches = 10.5 feet = 3.5 yards

Step-by-step explanation:

42 in = 3.5 ft = 1.1667 yds

2.5 ft = 30 in = 0.8333 yds

1.5 yds = 54 in = 4.5 ft

42+30+54= 126 in

3.5+2.5+4.5= 10.5 ft

1.5+0.8333+1.1667= 3.5 yds

10.5/3= 3.5 yds

3.
Billy and Karen are playing a billy and Karen are playing a game. They toss a coin that can land either heads or tails and a
spinner that can land on any of 8 equal regions. If a coin is tossed and the spinner is spun,

howmany possible outcomes are there?

Answers

The number of possible outcomes for both Billy and Karen = 32 possible outcomes.

A coin has head and tail and thus;

Number of possible outcomes of a coin toss = 2

Now, for the for the spinner, since there are 8 equal regions;

The number of possible outcomes of the spinner = 8

Now, since they are playing a game;

Number of possible outcomes for Billy for one toss of coin and one time of spinning the spinner = 8 × 2 = 16

Similarly;

Number of possible outcomes for Karen for one toss of coin and one time of spinning the spinner = 8 × 2 = 16

Therefore;

Total possible outcomes for both Karen and Billy = 16 + 16 = 32 possible outcomes.

Read more about probability at; https://brainly.com/question/21186493

P(A ∪ B) = 0.8, P(B) = 0.5, P(A ∩ B) = 0.3. Find P(A). P(A) =

Answers

Answer:

The answer is 0.6

Step-by-step explanation:

I find it helpful to setup a Venn Diagram when dealing with these. This chart is pretty useful when dealing with set notation.

Then, you can set this up as a system of equations. So, based on your problem, we can setup the system like this:

x + y + z = 0.8

y + z = 0.5

y = 0.3

If you solve this, you will get:

x = 0.3

y = 0.3

z = 0.2.

To get P(A), you x and y to get x + y = 0.6

Which of the following completes the formula of cos (a + B) =
A. sin a cos B - cos a sin B
B. sin a cos B + cos a sin B
O C. cos a cos B- sin a sin B
OD. cos a cos B+ sin a sin B

Answers

Answer:

cos a cos B-sin a sin B is the right answer

Problema: Juan quiere repartir sus calidez entre sus hermanos pequeños. Dice que dará la
mitad en Anna y tres sextas partes en Ignacio. Anna está enfadada porque dice que
Ignacio tendrá más, ¿es cierto?

Answers

Answer:

no .,..false

Step-by-step explanation:

NO NEED FOR LINKS NEED THE ANSWER RIGHT NOW

Answers

Answer:

a. y= 16+ 7x

b. y=19+9x

c. y= 10+5x

Step-by-step explanation:

a.) adds 7 each time

b.) adds 9 eah time

c.) adds 5 each time

Answer:

hope it helps you......

Select the expressions that are equivalent to 7•7•7•7•7•7. I HAVE TO ANSWER 2 MORE ANSWERS

Answers

Answer:

49 * 7'4

Step-by-step explanation:

What is 7823× 10 to the 3 power?

Answers

Answer:

7823000

Step-by-step explanation:

Answer:

0 is the answer

7893 x 10 equal to 789300


Which of the following numbers is proportional to 84/108?
1. 86/110
2.98/126
3.64/72
4.91/104

Answers

Proportional numbers are numbers with the same equivalent ratio

98/126 is proportional to 84/108

The number is given as:

[tex]Number = \frac{84}{108}[/tex]

Reduce fraction to the lowest term

[tex]Number = \frac{7}{9}[/tex]

Reduce 86/110 to the lowest term

[tex]Number = \frac{86}{110}[/tex]

Divide by 2/2

[tex]Number = \frac{43}{55}[/tex]

43/55 is not equivalent to 7/9

Reduce 98/126 to the lowest term

[tex]Number = \frac{98}{126}[/tex]

Divide by 14/14

[tex]Number = \frac{7}{9}[/tex]

7/9 is equivalent to 7/9.

Hence, 98/126 is proportional to 84/108

Read more about proportional numbers at:

https://brainly.com/question/1781657

6(x 2) 3(x 3) help me help me help me help me help me HELP MEEEEE PLZ its from usatestprep

Answers

Answer:

i dont now

Step-by-step explanation:

someone please just help me i'm almost done with my math for today!
marking brailist

Answers

If 13 is added to the data set the range will increase by one because range is highest value minus lowest value and 13 is one unit less than the previous lowest value

therefore the answer is A


1. Write an equation for a line that passes through the origin and is perpendicular to
y = 5x – 2.

Answers

Answer:

the equation will be 2y=5x

Find the unit price for a 9 oz bottle of ketchup for 88cents. round answers to the nearest tenth of a cent. ________ cents per ounce

Answers

Answer:

0.1 cents per ounce

Step-by-step explanation:

You know that you paid 88 cents for the whole bottle of ketchup and the whole body contains 9oz of ketchup. Every one ounce is equal to 9.8 cents. You simply need to divide the total amount of the item by the weight (9 ounces) to get 0.09 or 0.1 when rounded.

[tex]\frac{88 cents}{9oz}=0.1 cents per ounce[/tex]

Graph
-2(3x+4)(x-1)(x-3)^2

Answers

Answer:

Step-by-step explanation:

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