What is the center and radius of the circle with the given equation? [tex]x^2+y^2+2x+8y=8[/tex]

Answers

Answer 1

Answer:

(- 1, - 4 ) and r = 5

Step-by-step explanation:

The equation of a circle in standard form is

(x - h)² + (y - k)² = r²

where (h, k) are the coordinates of the centre and r is the radius

To obtain this form from the given equation use the method of completing the square.

Given

x² + y² + 2x + 8y = 8 ( rearrange by collecting x and y terms )

x² + 2x + y² + 8y = 8

To complete the square

add ( half the coefficients of the x/ y terms )² to both sides

x² + 2(1)x + 1 + y² + 2(4)x + 16 = 8 + 1 + 16

(x + 1)² + (y + 4)² = 25 ← in standard form

with centre (h, k ) = (- 1, - 4 ) and r = [tex]\sqrt{25}[/tex] = 5


Related Questions

simple math question
1)

Answers

Answer:

x^10

Step-by-step explanation:

when u mulitply exponets you add them.. i would look up on google tho the rules of exponents so you know them.

X ‘7 is your answer!

find the distance between points a and point b
a (8,1) b (4,9)​

Answers

Answer:

Required Answer:-A (8,1)B (4,9)

use distance formula

[tex]\qquad\quad {:}\longmapsto\sf AB=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

[tex]\qquad\quad {:}\longmapsto\sf \sqrt {(4-8)^2+(9-1)^2}[/tex]

[tex]\qquad\quad {:}\longmapsto\sf \sqrt{(-4)^2+(8)^2}[/tex]

[tex]\qquad\quad {:}\longmapsto\sf \sqrt {16+64}[/tex]

[tex]\qquad\quad {:}\longmapsto\sf \sqrt {80}[/tex]

[tex]\qquad\quad {:}\longmapsto\sf AB=4\sqrt{5} \:or \:8.94[/tex]

In American football, the ball is punted by dropping and kicking it before it hits the ground. The height h(t) of the football above the ground in meters t seconds after being punted is affected by gravity and by the punter's kick, and can be represented as the difference of two functions: a(t)=1.4t2, which specifies the effect of gravity on the height of the ball, and v(t)=12.1t+2.5, which specifies the effect of the punt on the ball. With these two functions, h(t)=v(t)-a(t), how high above the ground was the ball when it was punted?

Answers

Answer:

h = 8.845 m

Step-by-step explanation:

The height h(t) of the football above the ground in meters t seconds after being punted is affected by gravity and by the punters kick, and can be represented as the difference of two functions:

[tex]a(t)=1.4t^2\\\\v(t)=12.1t+2.5[/tex]

We need to find h(t) such that, h(t)=v(t)-a(t)

So,

[tex]h(t)=12.1t+2.5-1.4t^2\\\\h(t)=-1.4t^2+12.1t+2.5[/tex]

It is a quadratic equation. When we solve it we get :

[tex]h(t)=8.845\ m, -0.2\ m[/tex]

Neglecting negative value,

h(t) = 8.845 m

So, the ball was at a height of 8.845 m when it was punted.

first one TO ANSWER and GET IT CORRECT will get brainliest plus 15 points :) and a thanks on there comment

Answers

Answer:

MacBook air please

Step-by-step explanation:

Answer:

left edge should measure 1 cm and bottom should measure 2 cm because it has to be scaled

Step-by-step explanation:

1 cm = 3 ft

left side is 2cm wants it to be 3 feet and 1cm = 3 feet so you make it from to cm to 1 cm aka 3 feet and the bottom side 2 cm so that its scaled :)

Brainliest?

Please help I’m being timed

Answers

Answer:

slope is 0

Step-by-step explanation:

Answer:There is no slope to this answer. The slope is undefined

Step-by-step explanation: This is because when you use the slope equation (rise over run) you get 1 over 0, because you rise but don't move on the x axis at all. Since you cannot divide by zero the answer is undefined. The slope would be zero if it was a horizontal line for example 0/1 slope.

A cell phone company charges 5$ for 250 text messages. How much does the company charge for 300 text messages?

Answers

Answer:

$6

Step-by-step explanation:

250 text messages = $5

300 text messages = [tex]\frac{300}{250 }[/tex] × $5

                                = $6

Pls don't eat me :>

need the solution to this: 34x + 85 = 3(13x + 7)

Answers

Answer:

Isolate the variable by dividing each side by factors that don't contain the variable.

Exact Form:

x=64/5

Decimal Form:

x=12.8

Mixed Number Form:

x=12  4/5

write and equation in slope intercept form (y=mx+b) for the graph below

Answers

Answer:

y=1/3x+0 or y=1/3x

Step-by-step explanation:

find the slope by taking two points and putting them in

y2 - y1/x2 - x1

so, (3,1) and (6,2) becomes 2-1/6-3 or 1/3 so, slope is 1/3

then to find y intercept you can put a point (6,2) and slope (1/3) into slope intercept form y - y1 = m(x - x1)

y - 2 = 1/3(x-6)

when you solve this you get y = 1/3x + 0, so y intercept is 0. you can also see. this on the graph given

i give you points lol

Answers

Answer:

yes

Step-by-step explanation:

Shania's test scores in 8 subjects were 88, 91, 85, 74, 69, 72, 80, and 87. Which measure should Shania use to find her average score?

Answers

Answer:

the answer is 80.75

Step-by-step explanation:

u add all the test scores together and then u divide it by 8 then that's ur answer hope this helps..

ANSWER FOR BRAINLIEST
CORRECT ANSWERS ONLY

Answers

1. Quotient

2. Factors

3.product

4. Divisor

5. Dividend

Hope I could help -

Have a wonderful rest of your day!

Sleepy+

What is the magnitude of -6?

Answers

Answer:

−6|=6.

Step-by-step explanation:

A young snake measures 0.23 meters long. During the course of his lifetime, he will
grow to be 13 times his current length. What will his length be when he is full grown?

Answers

Answer:

2.99

Step-by-step explanation:

multiply 0.23 by 13

put the following equation of a line into slope-intercept form simplifying all fractions .

Answers

Answer:

get y by itself and simplify

y=3/2x +7

Pls help
Write a story about temperatures that this expression could represent:

27 + (-11)

Answers

Answer:

2333

Step-by-step explanation:

Ian wants to run 4 1/2 miles to get ready for his upcoming race. He has set up 3 markers the same distance apart to show how far he has run. How far apart are the markers?

Answers

Answer:

1 1/2

Step-by-step explanation:

Given that:

Total miles to run = 4 1/2 miles

Number of same distance markers set = 3

The diatances between each marker :

Total distance / number of markers

4 1/2 ÷ 3

9 /2 ÷ 3

9 / 2 * 1 /3

= 9 /6

= 3/2 = 1 1/2

Hence, the distance between each marker = 1 1/2

The midpoint of
AB

AB
is
M
(

6
,
3
)
M(−6,3). If the coordinates of
A
A are
(

8
,
1
)
(−8,1), what are the coordinates of
B
B

Answers

Yes sirhshsbbshshsbsbdbdbdvdvdbdb

Answer:

(-4,5)

Step-by-step explanation:

yup

Which equation represents a line which is perpendicular to the line y = 4/3x -7

A)3x + 4y = 8

B)4x – 3y = 24

C)4x + 3y = -6

D)4y - 3x = 12

Answers

Answer:

A)3x + 4y = 8

Step-by-step explanation:

Given expression;

          y = [tex]\frac{4}{3} x[/tex]   - 7

A line perpendicular to this will have negative inverse slope;

  the slope of the given line = [tex]\frac{4}{3}[/tex]

  perpendicular line  = [tex]-\frac{3}{4}[/tex]  

 Now;

      the equation of the line is;

 

           y =  [tex]-\frac{3}{4}[/tex] x  - 7

  multiply through by 4

          4y  = -3x - 28

          4y + 3x  = -28

       

Please answer the question please

Answers

Answer:

whats the question lol

Step-by-step explanation:

or free points?

i need help to answer please

Answers

Answer:

m∠N = 41°

Step-by-step explanation:

Here,

In △MNO, m∠M = (6x + 1°) ...(1)

m∠N = (3x - 10°) ...(2)

m∠0 = (x + 19°) ...(3)

Here, We know that the sum of all angles of a triangle is 180°

Then,

(6x + 1°) + (3x - 10°) + (x + 19°) = 180°

6x + 1° + 3x - 10° + x + 19° = 180°

6x + 3x + x + 1° - 10° + 19° = 180°

10x + 10° = 180°

10x = 180° - 10°

10x = 170°

x = 170° ÷ 10°

x = 17°

Now, put the value of x in (1), (2) and (3)

m∠M = (6x + 1°)

= (6(17) + 1°)

= (102° + 1°)

m∠M = 103°

m∠N = (3x - 10°)

= (3(17) - 10°)

= (51° - 10°)

m∠N = 41°

m∠0 = (x + 19°)

= (17 + 19°)

m∠0 = 36°

Thus, The m∠N = 41°

FOR VERIFICATION ONLY:

(6x + 1°) + (3x - 10°) + (x + 19°) = 180°

(6(17) + 1°) + (3(17) - 10°) + (17 + 19°) = 180°

103° + 41° + 36° = 180°

180° = 180°

Hence, L.H.S = R.H.S

-TheUnknownScientist

The hour hand of a clock moves -30° every hour. How many degrees does it move in 2 1 /5hours?

Answers

Answer:

-75°

Step-by-step explanation:

-30°+-30°+-15°

Im one brainliest away from a rank up!

drag a series of transformations of trapezoid ABCD to the table that show trapezoid ABCD is congruent to trapezoid EFGH​

Answers

Answer: Reflect Y-Axis & 10 Units Down

Step-by-step explanation:

Whitch statement is true?
A.All right triangles are similar
B.All parallelograms are similar
C.Similar shapes have equal angle measure
D.Similar shapes have proportional angle measures

Answers

Answer:

I think it’s D

Step-by-step explanation:

what is 2p6−19=−9 I need help pls I don't understand this at all

Answers

Answer:

5/6. Is this what u are looking for?

Step-by-step explanation:

Step 1 Simplify:2x(6)-19=-9 to 12x+-19=-9

Step 2 Add 19 to both sides: 12x-19+19=-9+19. You should get 12x=20

Step 3 Divide 12 on both sides: 12x/12=10/12

x=10/12. Simplified= x=5/6

Van purchased a DVD player on sale. The original selling price was ​$154.30. The sale price was ​$132.17. What is the first step in finding the percent​ markdown? Find the percent markdown.

Answers

Answer:

Percentage decrease= 14.34%

Step-by-step explanation:

Giving the following information:

The original selling price was ​$154.30. The sale price was ​$132.17.

To calculate the percentage decrease, we need to use the following formula:

Percentage decrease= [(P0 - P1)/P0]*100

Percentage decrease= [(154.3- 132.17)/154.3]*100

Percentage decrease= 14.34%

Write an equation of the line that passes through (2, – 4) a
and
(0, – 4).

y =

Answers

Answer:

y=-4

Step-by-step explanation:

first,

you find the slope by doing

y2-y1/x2-x1 and getting 0.

then plug into point slope form,

y-y1=m(x-x1)

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

y+4=0

y=-4

What is 6÷-1/2 please answer

Answers

-3 would be your answer

Answer:

The correct answer is -12

Step-by-step explanation:

Hope I helped you!!

hi nothing for checking for me to be able to make it to the gym today and I love you too baby girl and I love you too baby and have fun at school and see what happens and we are born with you have a good time with the girls have a nice time with me and him and he said he was going to be a little more about the job I have to go to the doctor today and I love the idea of the constitution​

Answers

If its nonsense question well i don't know

please don't give nonsense question.

Answer:

whtsas

Step-by-step explanation:

Nolan says the relationship in the table is not proportional because the point (0, 0) does not appear in the table.

Which is the best way to explain to Nolan why he is incorrect?
A. A graph made from the table will be increasing, so it is proportional.
B. Not all proportional relationships contain (0, 0), so it could be proportional.
C. The points on the graph will have even y-coordinates, so it is proportional.
D. Even though (0, 0) is not in the table, the graph is a line through (0, 0), so it is proportional.

Answers

Answer: D. Even though (0, 0) is not in the table, the graph is a line through (0, 0), so it is proportional.

Step-by-step explanation:

The table is not included but this should be the correct answer.

Linear relationships which are proportional will have to pass through the origin which is (0,0). This does not mean that on the table, the points (0,0) have to be there.

Even if it does not explicitly appear in the table, so long as the line passes the origin, it is to be considered a proportional relationship. The (0,0) might not appear on the table because only a few points the line passed through were listed but if when the line is plotted, the line goes through (0,0), it is proportional.

Answer:

D

Step-by-step explanation:

Find x if f(x) = 2x + 7 and f(x) = -1.

-3
5
-4

Answers

Answer:

I think the answer is 5.

Step-by-step explanation:

f(x) = 2x + 7

f(-1)=2(-1)+7

f(-1)=-2+7

f(-1)=5

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