What are the center and radius of the circle described by the equation x2 + y2 + 6x + 10y +18 = 0?​

Answers

Answer 1
This equation is in what’s called general from. To convert to standard form (the form needed to graph: (x-h)^2+(y-k)^2), you would need to first put the x’s next to each other any the y’s next to each other, also put the 18 on the other side.

1. “x^2+6x+y^2+10y=-18

2. Complete the square: (b/2)*2
(x^2+6x+9)+(y^2+10y+25)=-18

(x+3)^2+(y+5)^2=-18

Now you have a form where you can tell the center and the radius.
Answer 2

The radius of the circle will be √-18 and the center is ( -3,-5).

What is a circle?

All points in a plane that are at a specific distance from a specific point, the center, form a circle. In other words, it is the curve that a moving point in a plane draws to keep its distance from a specific point constant.

This equation is in what’s called general form. To convert to standard form (the form needed to graph: (x-h)²+(y-k)²), you would need to first put the x’s next to each other and the y’s next to each other and also put the 18 on the other side.

The radius of the circle will be calculated as below:-

1. x²+6x+y²+10y=-18

2. Complete the square: (b/2) x 2

(x²+6x+9)+(y²+10y+25)=-18

(x+3)²+(y+5)²= -18

Here the center coordinates are ( -3,-8) and the radius is √-18.

Therefore, the radius of the circle will be √-18 and the center is ( -3,-5).

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Related Questions

If the the diagonals of A parallelogram or perpendicular but not congruent is the parallelogram a 1. rectangle 2. square 3. rhombus or 4. Parallelogram

Answers

9514 1404 393

Answer:

  3.  rhombus

Step-by-step explanation:

If the diagonals are perpendicular, adjacent sides are congruent. If adjacent sides of a parallelogram are congruent, it is a rhombus.

__

Diagonals are congruent in a rectangle or square, so those choices don't apply. In a general parallelogram, the diagonals may not be perpendicular.

For 60 points and brainliest Guy’s Gym charges a one time fee of $100 plus $5 per month. Bob’s Gym charges a one time fee of $160 plus $8 per month. After how many months will both gyms charge the same amount?

Answers

Answer:

-20

Step-by-step explanation:

They're never going to be the same because Bob's Gym starts at a higher number and also increases by a larger number

Answer:

-20 months lol

Step-by-step explanation:

so the first step to this is to create and equation for each

for guys gym the equation would be 5x+100 and for bob's gym the equation would be 8x+160

because we want them to equal each other we write the equation

5x+100=8x+160 and solve for x to see how many months it will take for the gyms to charge the same amount

step 1 subtract 100 from each side

5x=8x+60

step 2 subtract 8 from each side

-3x=60

step 3 divide each side by -3

x=-20 it will take -20 week for them to charge the same amount

(i think there might of been a mistake in the question lol)

Express 6.925 x 10^–5 in standard form.
A. 0.00006925
B. 0.0006925
C. 6.92
D. 692,500

Answers

es la de por qué si no es nada malooo y tu qué haces con tu

Answer:

0.00006925

Step-by-step explanation:

After swimming 60 feet below the surface of water, a whale swims up 30 feet. Use a number line to help you create an equation that shows the new location of the whale in relation to the water service.

A. The equation is -60 + (-30) = -90. The whale is 90 feet below the waters surface.
B. The equation is -60 + (-30) = -30. The whale is 30 feet below the water surface.
C. The equation is -60 + 30 = -30. The whale is 30 feet below the water surface.
D. The equation is -60 + 30 = -90. The whale is 90 feet below the water surface.​

Answers

Answer:

C. The equation is -60 + 30 = -30. The whale is 30 feet below the water surface

Step-by-step explanation:

At the surface of the water in the swimming pool, the height of elevation is 0.

Thus, if you swim 60 ft below the surface, it means you are going in the negative direction when we consider a number line. Thus, distance = -60 ft

Now, when you swim back up by 30 ft, it is in the positive direction. Thus, total distance is now; -60 + 30 = -30 ft

Thus value denotes a negative direction and it means you are 30 ft below the surface of the water.

ASAP
What is the image of (-9,0) after a dilation by a scale factor of 3 centered at the origin?

Answers

Answer:

-27,0

Step-by-step explanation:

15 POINTS! RIGHT ANSWERS ONLY! PLEASE! Thank you, explanation is optional.
Each picture is in order please answer them in order

Answers

Answer:

1st: x > -1

2nd: 52 - 3p

3rd: 450

4th: x > 90

5th: 2

PLEASE ANSWER QUICK

What is the unit rate for the ratio 96:8

Answers

Answer:

12:1

Step-by-step explanation:

96/8 = 12

The company can’t sell the sofa after 3 weeks so they reduce the price to $320. What is thepercent decrease? show your work

Answers

Answer:

are u sure the question is completed?

A kite is attached to a point on the ground with some string. The kite string is 75 feet
long. If the angle that the kite string makes with the ground is 35º, how far above
the ground is the kite? Round to the nearest hunderedth.

Answers

[tex]sin = \frac{opp}{hyp} [/tex]

[tex] \sin(35) = \frac{opp}{75}[/tex]

[tex]opp = 75 \sin(35) [/tex]

[tex]opp = 43.0182327263 \: feet[/tex]

The kite is 43.02 feet above the ground

If a dice is thrown, then choose the correct statement from below.

Answers

Where is the question

The correct statement is one in six chance of rolling a two.

What is Probability?

Probability refers to potential. A random event's occurrence is the subject of this area of mathematics.

The range of the value is 0 to 1. Mathematics has incorporated probability to forecast the likelihood of various events.

The degree to which something is likely to happen is basically what probability means.

We have,

A dice is thrown.

So, the chances of getting 2 is 1/6

and, the chance of getting odd number is 3/6 or 1/2.

and, the chance of getting six is 1/6.

So, the correct statement is

one in six chance of rolling a two

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Factor the following expression: 14b + 7a.

Answers

Answer:

7(a+2b)

Step-by-step explanation:

To factor an expression, you want to find the greatest common factor (GCF). I know that 7 can go into both 14 and 7, so my GCF would be 7. If I divide both 7a and 14b by 7, I get a and 2b. This means that my answer would be 7(a+2b) as that simplifies to 7a+14b. Hope that was helpful!  

Answer:

2(7b + a)

Step-by-step explanation:

to factorize u should take the hcf of both number and put it outside the bracket. if u solve it u can see that 2(7b + a) also equals to 14b + 7a when u use distributive property

i hope this helps

whats something you regret the most ..​

Answers

just ask a normal question my guy

slope of -1 and it passes through the origin

Answers

Answer:

Step-by-step explanation:

The slope of negative one means it is the opposite of a positive graph and the overall value is decreasing. The origin is (0,0)

Part II: Free Response
Xander went on a road trip with some friends. He recorded the following information on their
way to their destination:
• The trip took 2 hours
The car they took gets 28 miles
5 gallons of gas were used
per gallon
The price of gas was $4.00 per
Xander's average speed was 70
gallon
miles per hour
.
.
How far away was their destination? (Show your work.)
Inload

Answers

Answer:

Step-by-step explanation:

Please help. Jacob sells homemade skateboard decks for a profit of $27 per deck. He is considering switching to a new type of material that will increase his profit, as expressed by the function y = 32x, where x is the number sold and y is the amount of profit. How many more dollars will Jacob earn on each skateboard deck if he switches to the new material? Explain how you found your answer.

Answers

Answer:

$5

Step-by-step explanation:

32-27 = 5

because he was earning 27 per skate board, that function shows him earning 32 per skate board which is an increase of $5.

Convert –2y2 + x – 4y + 6 = 0 into standard form.
x = 2(y + 1)2 – 6
x = 2(y + 1)2 – 8
x = 2(y + 1)2 – 7
x = 2(y + 1)2 + 8

Answers

Answer:A

Step-by-step explanation:

X=2(y+1)^2-6

The equation in the standard form is x = 2(y + 1)² – 8. Then the correct option is B.

What is a quadratic equation?

The quadratic equation is given as ax² + bx + c = 0. Then the degree of the equation will be 2. Then we have

Convert –2y² + x – 4y + 6 = 0 into standard form.

Simplify the equation, we have

x = 2y² + 4y – 6

x = 2(y² + 2y) – 6

x = 2(y² + 2y + 1) – 2 – 6

x = 2(y + 1)² – 8

Then the correct option is B.

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THIS IS CONFUSINGG HELP

Answers

Answer: B hope that helps

Ana es una vendedora de bombones tenía 295 cajas y ha vendido 67 de ellas si cada caja contiene 24 bombones¿ cuántos bombones le quedaron sin vender?

Answers

Answer:

the number of chocolates remains unsold is 5,472

Step-by-step explanation:

The computation of the number of chocolates remains unsold is given below:

= (Total boxes - sold boxes) × number of chocolates in each box

= (295 - 67) × 24

= 228 × 24

= 5,472 chocolates

hence, the number of chocolates remains unsold is 5,472

6th grade math help me pleaseeee

Answers

Answer:

I think it's the top left one

Step-by-step explanation:

Answer:

the top left one

Step-by-step explanation:

Sam cut a 28-foot rope into 4 equal pieces. How long is each piece of rope in inches? -HELP PLEASE THIS IT DUE IN 5 MINUTESSS

Answers

Answer:

84 inches

Step-by-step explanation:

12 inches are in 1 foot, so you take the number of feet (28) and multiply by the number of inches in a foot (12)

28×12=336 (inches)

then you take 336 and divide by 4 to get your 4 equal pieces.

336 divided by 4 = 84, 84 inches

the website is offering a discount of $7.50 on all bolga basket order.

Answers

Answer:

Okay but what is the bolga basket original price?

Answer:what is the answer

tell the number pls i have to get this answer right the orignal number what is the original number

Step-by-step explanation:

Help with this please.!!!!!!!!!!!!!!

Answers

Green box 6 and grey box 6.
Is this all tho?

A sequence has an initial term a1=22 and a recursive formula an=an−1−10.
What is the explicit formula for the sequence?

an=22+10(n−1)
an=22−10(n−1)
an=10−22(n−1)
an=10+22(n−1)

Answers

Answer:

B. aₙ = 22 - 10(n - 1)

Step-by-step explanation:

Recursive formula:

a₁ = 22aₙ = aₙ ₋₁ - 10Common difference is d = -10

Explicit formula:

aₙ = a₁ + (n - 1)d = 22 + (n - 1)*(-10) = 22 - 10(n - 1)

Correct choice is B

The box-and-whisker plot below represents some data set. What percentage of the data values are less than 80?

Answers

Answer:

25

Step-by-step explanation:

25%

delta math

13. f(x) = 3x - 6
How do we find the domain of f^-1 including any restrictions inherited from f?

Answers

Answer:

whatever you get for that

Step-by-step explanation:

you plug in -1 for x

Can someone please help to differentiate this?​

Answers

Answer:

  [tex]\frac{dy}{dx} = (x+3)^{4} (7)(x-5)^{6} + (x-5)^{7} (4)(x+3)^{3}[/tex]

The values of  x are x = -3 ,5   and [tex]x = \frac{-1}{11}[/tex]

Step-by-step explanation:

Step(i):-

Given that the function

                      y = (x+3)⁴(x-5)⁷ ...(i)

Apply UV formula

[tex]\frac{dy}{dx} = U^{l} V+ U V^{l}[/tex]

Differentiating equation (i) with respective to 'x ', we get

                 [tex]\frac{dy}{dx} = (x+3)^{4} (7)(x-5)^{6} + (x-5)^{7} (4)(x+3)^{3}[/tex]

Step(ii):-

Given that

        [tex]\frac{dy}{dx} = 0[/tex]

[tex](x+3)^{4} (7)(x-5)^{6} + (x-5)^{7} (4)(x+3)^{3} =0[/tex]

[tex](x+3)^{3}(x-5)^{6} (7(x+3)+4(x-5))[/tex]  =0

[tex](x+3)^{3}(x-5)^{6} =0 and (7(x+3)+4(x-5)) =0[/tex]

x = -3 and x=5   and 7x +21 +4x -20 =0

x = -3 and x=5   and   [tex]x = \frac{-1}{11}[/tex]

Eighth grade
T.3 Area and perimeter: word problems MY
you have prizes to reveals Got
Nancy has a pool in her backyard, and she wants to build a fence around the entire area,
Nancy's backyard is 10 meters wide and 15 meters long. It costs $10.00 per meter to install
a wooden fence. How much would it cost to put a wooden fence around Nancy's backyard?
Submit

Answers

Since Nancy wants a fence around her backyard, we are obviously talking about perimeter here.

10 + 10 + 15 + 15 = 50

The perimeter of her backyard is 50 meters

50 x 10 = 500

It would cost her $500

Can someone pls help me?

Answers

Step-by-step explanation:

The purple triangle would be an equilateral triangle because all three sides are equal.

The pink triangle would be an isosceles triangle because only two sides are equal.

Which of the following represents a rational number that is NOT an integer?


A 27 ÷ 5
B -50 ÷ 5
C -100 ÷ 50
D 10 ÷ 2

Answers

A - 27/5

An integer can be a negative number but it can't be a decimal.

Lainey bought a set of 20 makers for $6 what is the cost of 1 marker?

Answers

Answer:

0.30

Step-by-step explanation:

$6 Total

20 markers

6/20=0.30

0.3 per maker.

Cost of 1 marker is $0.30

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