Consider the equation of a circle x^{2} -2x + y^{2} - 4y - 4 = 0 if the line 2x - y + a = 0 is its diameter. then find the value of a?

Answer:

[tex]2\frac{6}{7}[/tex]

Step-by-step explanation:

First you have to convert the mixed numbers to an improper fraction which first let's do the top so that would be: [tex]\frac{\frac{15}{2}}{2\frac{5}{8}}[/tex]

Next, lets do the bottom of that so that would become: [tex]\frac{\frac{15}{2}}{\frac{21}{8}}[/tex]

After that you have to apply the fraction rule [tex]\frac{\frac{a}{b}}{\frac{c}{d}}=\frac{a\cdot \:d}{b\cdot \:c}[/tex] so that would be: [tex]\frac{15\cdot \:8}{2\cdot \:21}[/tex]

Towards the end, you have to cancel out that equation so then it becomes: [tex]\frac{20}{7}[/tex]

Finally, you convert the improper fractions to mixed numbers so that is now: [tex]2\frac{6}{7}[/tex]

Have a great day!

After divide, the value in simplest form is, 20/7.

Division method is used to distributing a group of things into equal parts. Division is just opposite of multiplications. For example, dividing 20 by 2 means splitting 20 into 2 equal groups of 10.

Given that;

⇒ 7 1/2 divided by 2 5/8

Now, Divide the numbers as;

⇒ 7 1/2 divided by 2 5/8

⇒ 15/2 ÷ 21/8

⇒ 15/2 × 8 / 21

⇒ 15×8 / 2×21

⇒ 5×4/7

⇒ 20 / 7

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Answer:

287

Step-by-step explanation:

Reflex angle:

an angle greater than 180° and less than 360°

360-73=287

Answer:

e, 1/12

Step-by-step explanation:

1) turn the first fraction into a whole number, the closest whole number being 1.

what did you multiply 1/2 by to get 1? the answer would be 2.

whatever you do to oneside, do to the other. when you multiply 6 by 2, you get twelve.

therefore, the answer is 1/12

Answer:

x  = 18

Step-by-step explanation:

6 − x = −12

subtract 6 from both sides

- x = - 18

divide both sides by -1

x = 18

Answer:

x=18

Step-by-step explanation:

6 - x = -12

-6        -6

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

    -x = -18

*divide by -1*

 x = 18

hope this helps! :D

have a MIRACULOUS day!! <3

Answer: Choice A

Step-by-step explanation: You are given the inequality g is less than or equal to. Greater/less than and equal to, you use solid circle. Greater/less than, you use open circle. From there, you just look at the inequality in which direction is it going at and from there, you should be able to select your choice which happens to be the first one.

I hope this explanation helps.

Best to you!

Given AP is -3 ,-1/2,2,..

First term = -3

Common difference = (-1/2)-(-3)

⇛d = (-1/2)+3

⇛d = (-1+6)/2

⇛ d = 5/2

We know that nth term = an = a+(n-1)d

11th term = (-3)+(11-1)(5/2)

⇛a 11 = -3+(10)(5/2)

⇛a 11 = -3+(5×5)

⇛a 11 = -3+25

⇛ a 11 = 22

11th term of the AP = 22.

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The 4th term of ap is 10 and the 11th term of it exceeds 4th term by 1 find the sum of 20 terms ....

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Answer:

2

Step-by-step explanation:

initial term = -3

common difference = .5

-3 + .5 for 11 times from 3 = positive 2

Answer:

y = 47, -25 , 15 , -33 -9

Step-by-step explanation:

You have to plug the x variables into your equation, then solve for y.

Brainliest would be appreciated! :-)

Answer: 10

Step-by-step explanation: [30-24+9]=15-5=10

The answer after calculation the given expression using PEDMAS rule: [6x(5-3)+9]-5 is 16.

The given expression, [6x(5-3)+9]-5, can be simplified using the order of operations, also known as PEDMAS P – Parenthesis First: B – Brackets First

E – Exponents

D – Division

M – Multiplication

A – Addition

S – Subtraction

First, we evaluate the expression inside the bracket: 5-3, which equals 2. Substituting this result back into the expression, we have [6x2+9]-5.

For the next step, we perform the multiplication operation. Multiplying 6 by 2 gives us 12. Now our expression becomes [12+9]-5.

Moving on to addition, we add 12 and 9, resulting in 21. Our expression now becomes [21]-5.

Finally, we subtract 5 from 21, which gives us 16. Thus, the value of the expression [6x(5-3)+9]-5 is 16.

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Answer:

First ratio:4/3

Second:28/9

Answer: A

Step-by-step explanation:

Subtract 12 from both sides:

y + 15 - 15 < 3 - 15

Simplify:

y < -12

Answer:

the x-axis is 0,1

the y -axis is -1, - 35

sorry if  im rong

Step-by-step explanation:

Answer:

look at explanation

Step-by-step explanation:

the first thing to do when graphing is to look at your y coordinate, the last number without a variable behind it. this would be (-1).

mark -1 on your graph, which should be one slot to the left of zero.

the slope (the number with the variable behind it) can be read as rise/run. turn -34 into a fraction by simply putting it over 1. this will give you -34/1.

your rise in this case would be -34, which means from -1, go down 34 slots and put a nother dot. your run(denominator in fraction) is where you move horizontally. since the run is 1, move over 1 spot from where your last dot is and that is your final plot. connect the first dot you made tot he third dot you made and you have officially graphed it.

Step-by-step explanation:

When the modulus is ∞, the result is equal to the value in ST(0). Otherwise, C2 is set, and the result in ST(0) is called the partial remainder. The exponent of the partial remainder will be less than the exponent of the original dividend by at least 32. Using partial remainders, dividing multiples of 4 from 46 until you can't divide anymore. You can't divide anymore because 2 is less than 4. So, 2 is the remainder.

Answer: sorry no

Step-by-step explanation: sorry i dont want to explain it.

The sum of money that was  shared between the three friends is $8100

The ratio at which the money was shared = 7 : 9 : 11

Total ratio  = 7 + 9 + 11

Total ratio = 27

Amount received by Kerry-Ann = $3300

Let the total amount shared by the three friends be T

Amount received by Kerry-Ann = (11/27)  x  T

3300  =  11T / 27

11T  =  27(3300)

11T  =  89100

T   =  89100/11

T  =  8100

The sum of money that was  shared between the three friends is $8100

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Answer:

5: 4

6: 20

7: $3.20

8: 92

9: 22

10: $11.60

Step-by-step explanation:

6. remove 3 from 83, you will have 80 and then divide by 4 = 20 students in a class.

7. Subtract 8.80 from 24.80, you will get 16 dollars. Do 16 ÷ 5 = 3.2 as the cost of each pencil.

9. 94- 6 = 88 so, 88 ÷ 4 = 22.

10. 13.40 -7.60 = 5.8 as his weekly allowance.

I hope it helps.

eat chili snacks and spicy to burn fat

[tex]\text{Area of circle} = \pi r^2\\\\\implies 2 = \pi r^2\\\\\implies r^2 = \dfrac 2{\pi}\\\\\\\implies r = \sqrt{ \dfrac 2{\pi}} = 0.798~ \text{m.}[/tex]

Answer:

r≈.8m

Step-by-step explanation:

Formula used

A=πr2

r=√a/π =√2/π ≈.79788

rounded it is .8m

sAnswer:189 students

Step-by-step explanation:

Answer:

Step-by-step explanation:

You can easily convert 3 minutes into seconds using each unit definition:

Minutes

minute = 60 s = 60 s

Seconds

1 s

= 1 sec / 60 = 0.01667 min

With this information, you can calculate the quantity of seconds 3 minutes is equal to.

In 3 min there are 180 s.

Which is the same to say that 3 minutes is 180 seconds.

Answer:

3 hours

Step-by-step explanation:

7hours - 4hours

hope it helped

pls give me brainliest

Answer:

4

2

3

Step-by-step explanation:

Answer:

4

2

3

Step-by-step explanation:

2+2=4

1+1=2

6-3=3

welcomeeee:)

Answer:

25 disc for 12.50 is the most.

Step-by-step explanation:

You would have see how much each cost for one.

1. 10 for 5.99.

5.99 ÷ 10 is 0.599. So basically .60 cents.

2. 25 for 12.50.

12.50 ÷ 25 is 2. So basically 2 dollars per disc.

3. 50 for 18.75

18.75 ÷ 50 is 0.375. So basically .38 cent.

Now compare them.

1. 0.60

2. 2

3. 0.38

25 disc for 12.50 is the most.

Here we must write and solve a system of equations to find the speed of the boat and the speed of the stream. We will find that the boat's speed is 23km/h and the river's speed is 4km/h.

First, remember the relation:

Distance = Speed*Time.

Now let's define the variables we will be using:

When the boat travels downstream, the total speed of the boat is the speed of the boat plus the speed of the river, and we know that in that case it travels 54km in 2 hours, then:

54km = (B + R)*2h

When the boat travels upstream, we must subtract the speed of the river. In that case, we know that the boat travels 57km in 3 hours, then we have:

57km = (B - R)*3h

Then our system of equations is:

54km = (B + R)*2h

57km = (B - R)*3h

To solve this, first, we need to isolate one of the variables in one of the equations, let's isolate B in the second one:

57km = (B - R)*3h

57km/3h + R = B

19 km/h + R = B

Now we can replace that in the other equation:

54km = (B + R)*2h

54km/2h = B + R

27 km/h = B + R = (19 km/h + R) + R

Now we can solve this for R:

27 km/h = 19km/h + 2*R

27 km/h - 19km/h = 2*R

8 km/h = 2*R

(8km/h)/2 = 4km/h = R

Now that we know the value of R, we can use:

B = 19 km/h + R  = 19 km/h + 4km/h = 23 km/h

So the boat's speed is 23km/h and the river's speed is 4km/h.

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Answer:

C

Step-by-step explanation:

A provisional license holder under 18 may not drive without special permission between 5:01 am and 11:59 pm.

Answer:

+1/-1

Step-by-step explanation:

assuming the original phrase is  x^2

x^2 + 10 = 9

x^2 = 1

x = +/- 1

Answer:

27.72 inches of fabric

Step-by-step explanation:

28+3=31

559.24÷31=18.04

271.04÷28=9.68

18.04+9.68=27.72

Answer:9+(60x8)-120= 369

             80(50-24)+20= 126

Step-by-step explanation: