What is the equation of a circle with center (−5, −8) and radius 2?

(x − 5)2 + (y − 8)2 = 4

(x + 5)2 + (y + 8)2 = 4

(x + 5)2 + (y + 8)2 = 2

(x − 5)2 + (y − 8)2 = 2

Answers

Answer 1

[tex]\qquad\qquad\huge\underline{{\sf Answer}}☂[/tex]

Standard equation of circle ~

[tex]\qquad \sf  \dashrightarrow \:(x - h) {}^{2} + (y - k) {}^{2} = r {}^{2} [/tex]

where,

h = x - coordinate of centre

k = y - coordinate of centre

r = radius of the circle

Now, let's plug in the values ~

[tex]\qquad \sf  \dashrightarrow \:(x - (5)) {}^{2} + (y - ( - 8)) {}^{2} = {2}^{2} [/tex]

[tex]\qquad \sf  \dashrightarrow \:(x + 5) {}^{2} + (y + 8) {}^{2} = {4}^{} [/tex]

Therefore, the correct choice is B

➖➖➖➖➖➖➖➖➖➖➖➖➖➖➖➖➖

Answer 2

The equation of the circle with a center of (4,5) and a radius of 2 units is (x + 5)² +(y + 8)² = 4

How to determine the circle equation?

The center of the circle is given as:

Center (a,b) = (-5, -8)

The radius is given as:

Radius, r = 2

The equation of the circle is calculated using:

(x - a)² + (y - b)² = r²

Substitute values for r and (a,b)

(x + 5)² +(y + 8)² = 2²

Evaluate the square of 2

(x + 5)² +(y + 8)² = 4

Hence, the equation of the circle is (x + 5)² +(y + 8)² = 4

Read more about circle equations at:

https://brainly.com/question/1559324

#SPJ5


Related Questions

If 1 penguin has a mass of 6 kg, what is the mass of 9 penguins?

Answers

Answer:

54 kg

Step-by-step explanation:

We need to multiply!!

6 x 9 = 54

Have an amazing day!!

Please rate and mark brainliest!!

I will give the brainiest if you get it right.

Answers

Answer:

  1 ≤ x < 7/4

Step-by-step explanation:

The function f(x) is defined as increasing on the domain (-8, 4), so the ordering of the arguments is not changed by the function. We can solve the inequality as though f(x) = x, which is increasing everywhere.

Inequality solutions

  f(4x -3) ≥ f(2 -x²)

  4x -3 ≥ 2 -x² . . . . . . using our assumed definition of f(x)

  x² +4x -5 ≥ 0 . . . . . subtract 2-x²

  (x -1)(x +4) ≥ 0 . . . . factored form; zeros at -4, +1

The values of x that make this true are ones that make the factors have the same signs: x ≤ -4 or x ≥ 1.

Domain restrictions

The domain of f(x) is -8 < x < 4, so we require the arguments of f be restricted to those values

Left side

  -8 < 4x -3 < 4

  -5 < 4x < 7

  -5/4 < x < 7/4

Right side

  -8 < 2 -x² < 4 . . . . . right side is always true

  x² < 10 . . . . . . . . . . . add x² +8

  |x| < √10 . . . . . . . . . . less restrictive than the the left-side restriction

Solution

With the given domain restrictions on f(x), the inequality will be true on the interval ...

  1 ≤ x < 7/4

__

Additional comment

The attached graph shows the left-side function argument (dashed blue) and the right-side function argument (dashed green) with the given domain restrictions. The red curve is the difference in function values for the function defined as above. It is only non-negative between 1 and 1.75 as we found above.

This general behavior is applicable for any f(x) that can be described as in the problem statement. For example, f(x) = √(x+8) also gives an increasing curve for the difference f(4x-3)-f(2-x²) on the interval (-5/4, 7/4) with an x-intercept of +1.

<95141404393>

In two or more complete sentences, compare the number of x-intercepts in the graph of f(x)=x2 to the number of x-intercepts in the graph of g(x)= (x+2)2 -7

Answers

Because f(x)=x^2 is the parent function of a quadratic, it has one x-intercept at (0,0), no shifts up or down. But because g(x)=(x+2)^2-7 is a quadratic being shifted 2 units to the left and most importantly 7 units down, the function will cross the x-intercept 2 times.

I hope this is the answer you were looking for!

help please
1.) Write in words the decimal 123.0047.



Write in fractional notation and simplify.

2.) 0.91 3.) 2.769



Write in decimal notation.

4.) 74 over 1000 5.) 37047 over 10000 6.) 756 9 over 100



Which decimal number is greater?

7.) 0.07 or 0.162 8.) 8.049 or 8.0094


Round the next decimal number, 5.6783, to the indicated decimal place.

9.) To the Unit 10.) To the Thousandth 11.) To the Tenth

Answers

1.) One hundred twenty-five and forty-seven thousandths

2.) 91/100.

3.) 2769/1000

4.) 0.074

5.) 3.705

6.) 75.69

7.) 0.162 is greater than 0.07

8.) 8.049 is greater than 8.0094

9.) 6

10.) 5.678

11.) 5.7



What is the answer for this question?

Answers

Answer:

is this from flvs?

Step-by-step explanation:

Carly needs $149 to buy a skateboard. She already has $52. She earns money washing cars for $20 a car.
Carly says that if she washes 5 cars she will have enough money to buy the skateboard.

Use the drop-down menus to explain how to solve this problem.

First multiply
Choose...
× $20 to find how much money Carly will earn washing cars. Then add this amount to
Choose...
to find how much money Carly has in all. Finally,
Choose...
the total to the cost of the skateboard.

Answers

Answer:

$149 - skateboard price

$52 - carly's money

$20 × 5 cars = $100

$100 + $52 = $152

$152 - $149 = $3 left

Factor completely 4a^2-b^2-2a+b GUYS HELP THERE ARENT ANY CORRECT ANSWERS ON BRAINLY URGENT

Answers

Answer:

(2a-b)(2a+b-1)

Step-by-step explanation:

A birthday cake weighs 7/8 pounds. If 2/3 of the cake is flour, how much is flour

Answers

Don’t know but you do have to subtract
5/24 is the amount for flour

There is exactly 1 pair of parallel sides in the following shape.

Answers

The 7 unit side and the unit 10

since they are both perpendicular to the same 8 unit side

:)

how many positive integers are between 28/3 and 83/5

Answers

Answer: ur dad

Step-by-step explanation:

lol

There are 7 positive integers in between 28/3 and 83/5.

What is an integer?

An integer is a whole number (not a fractional number) that can be positive, negative or zero.

Given that;

Two fractions are;

28/3 and 83/5.

Now, Write fraction into decimal form as;

28/3 = 9.33

83/5 = 16.6

So, All Integers in between 9.33 and 16.6 are;

⇒ 10, 11, 12, 13, 14, 15, 16

Thus, There are 7 positive integers in between 28/3 and 83/5.

Learn more about the integers visit:

https://brainly.com/question/24653557

#SPJ2

Airplane X left the airport, flying at a rate of 400 miles per hour. Airplane Y left 2 hours later, flying at a rate of 450 miles per hour. How long will it take airplane Y to catch up to airplane X?

Answers

Answer:   i think it will take 48 hours

Step-by-step explanation:

here's how to get 48 so basically 450-400-2= 48

now if you end up doing 400 - 450 then you will get -50 if you do 400-450-2 you will get a -52 so you want to make sure you do the biggest number first and then do the smaller numbers to get 48 like 450 - 400 - 2 and then you will have 48

i hope this helps!

can someone please help me with this

Answers

Answer:

"4 or less, let it rest. 5 or more, raise the score."

Step-by-step explanation:

1) 5.57, 5.62, 5.59

2) 2.349, 2.352, 2.346, 2.354

3)

0.7

0.3

1.5

3.4

4)

3.74

0.93

0.33

1.56

I hope this helps! Have a lovely day!! :)

(I would appreciate brainliest!!)

Roderick has a dog that has a mass of 9 kilograms what is the mass of the dog in grams

Answers

Answer:

9000 grams

Step-by-step explanation:

multiply the mass value by 1000

A company wants to decrease their
energy use by 15%. If their electric
bill is currently $2,100 a month,
what will their bill be if they are
successful? Give your answer
accurate to at least the nearest
dollar.

Answers

15% decrease means the bill would be 85% of the original bill ( 100% -15% = 85%)


multiply the current bill by 85%

2100 x 0.85 = 1.785


the bill would be $1,785

A Cyclist rides her bike of a rate of 18 Kilometers per hour. What is this rate in Kilometers per minute? How many Kilometers will the cyclist travel in 20 minutes? Do not Round your answers.

Answers

Step-by-step explanation:

18 ÷ 60 = 0.3

so 0.3 km per min.

0.3 × 20 = 6

so 6 km per hour

How many subsets does the following set (4,5,6,7,8) have?​

Answers

Answer:Number of subsets will be given by 2^n, where n is the number of elements in the set.

Step-by-step explanation:

Number of elements is 5. Therefore, the number of subsets that can be formed from the given set is 2^5 = 32.

simplify and tell the function

Answers

Answer:

2x - 5

Step-by-step explanation:

I just know and am positive with my answer. Hope this helped and have a good one!

6.
Part I: Suppose a prism has a square base with each side of length 3.75 cm and a height
of 5.65 cm. Use the formula below to find the volume. Show your work and round your
answer to the nearest hundredth. (5 points)

Answers

Answer:

79.45401²

Step-by-step explanation:

[tex]1)\ V=B\ Sh[/tex]

[tex]\therefore\ V=3.15\times 3.75\times 5.65[/tex]

[tex]=79.403125[/tex]

[tex]\approx 79,45\ cm^3[/tex]

I hope this helps you

:)

Rounded to the nearest hundredth, the volume of the prism is approximately 79.50 cm^3.

To find the volume of a prism, we use the formula:

Volume = Base Area * Height

In this case, the prism has a square base with each side of length 3.75 cm and a height of 5.65 cm. The formula for the area of a square is:

Base Area = Side Length^2

So, the base area can be calculated as:

Base Area = 3.75 cm * 3.75 cm = 14.0625 cm^2

Now, we can find the volume using the formula:

Volume = Base Area * Height

Volume = 14.0625 cm^2 * 5.65 cm

Volume ≈ 79.5025 cm^3

To know more about volume:

https://brainly.com/question/32006008

#SPJ2

-5 x + 10 -20 need help with this

Answers

Answer:

-5(x+2)

Step-by-step explanation:

what is 5b^-2/b^-3? I need to know

Answers

Answer:

5b

Step-by-step explanation:

Hope this helps <3

Determine the type of symmetry of r=-7+ 2cos3ø from the equation, if any. Make sure to confirm graphically. Symmetric with respect to the:
A) pole
B) none of these
C)line /2
D) polar axis

Answers

well, hmmm to check for polar symmetry, hmmm say we simply replace the value for either "r" or "θ" or both in the original equation, if the equation rendered is the same as the original, there you have it, symmetry, so let's do that.

[tex]\underline{\textit{testing for symmetry to the }\frac{\pi }{2}~line\qquad \qquad r=-r~~,~~\theta =-\theta } \\\\\\ r=-7+2cos(3\theta )\implies (-r)=-7+2cos[3(-\theta )]\implies -r=-7+2cos(-3\theta ) \\\\\\ \stackrel{symmetry~identity}{-r=-7+2\stackrel{\downarrow }{cos(3\theta )}}\implies r=7-2cos(3\theta )\impliedby \textit{woopsie, no dice} \\\\[-0.35em] ~\dotfill[/tex]

[tex]\underline{\textit{testing for symmetry to the polar axis}\qquad \qquad \theta =-\theta} \\\\\\ r=-7+2cos(3\theta )\implies r=-7+2cos[3(-\theta )]\implies r=-7+2cos(-3\theta ) \\\\\\ \stackrel{symmetry~identity}{r=-7+2\stackrel{\downarrow }{cos(3\theta )}}\impliedby \textit{low and behold\qquad \Large \checkmark}[/tex]

now, we could run a test for "the pole" or namely the origin by simply changin r = -r, however we already know where the symmetry is, so no need.

Check the picture below.

For a ride on a rental scooter, Goran paid a $3 fee to start the scooter plus 11 cents per minute of the ride. The total bill for Goran's ride was $23.79. For how many minutes did Goran ride the scooter?

Answers

Answer:

Step-by-step explanation:

he paid a 3 dollar fee so we can remove that 23.79-3 = 20,79

now we devide 20,79 by 11 or 189 minutes.

Can i have help on #3 and #2? Thanks<3

Answers

Answer:

I don't know if these are right

2.756

3. 1,426.42

please help I'm so stuck on this​

Answers

Answer:

divide the anser in the pasage

Step-by-step explanation:

divide the two numbers


What is the area in polynomial form

Answers

Answer:

[tex] \orange{ \boxed{ \sf{ ( \: {x}^{2} + 11x + 18 \: ) \: sq. \: units}}}[/tex]

Solution :

Area = lenght x width

Lenght = x + 9

Width = x + 2

[tex] \sf \green{area \: = \: (x + 9)(x + 2)} \\ \sf \green{ = \: { {x}^{2} + 11x + 18}} [/tex]

Answer:

[tex]x^2+11x+18\: \sf(square\:units)[/tex]

Step-by-step explanation:

To use the area model of solving multiplication and division problems, calculate the area of each of the colored rectangles and add them together.

Area of a rectangle = Length × Width

Area of blue rectangle:  [tex]x \times x = x^2[/tex]

Area of pink rectangle:  [tex]x \times 9 = 9x[/tex]

Area of green rectangle:  [tex]2 \times x=2x[/tex]

Area of orange rectangle:  [tex]2 \times 9=18[/tex]

Area of entire rectangle = blue + pink + green + orange

                                        = [tex]x^2+9x+2x+18[/tex]

                                        = [tex]x^2+11x+18\: \sf(square\:units)[/tex]

What is the value of [5] – 1 – 5] - ( – 5)?

Answers

Value is -1 , Hope this helps.

A square pyramid has a base with a side length of 7.5 feet and lateral faces with heights of 16 feet. Write an expression that can be used to find the surface area, in square feet, of the square pyramid.

Please provide an expression, not just the surface area please :)

Answers

Check the picture below.

so the surface area of the pyramid will be the sum of the areas of the base and the four triangular faces.

[tex]\stackrel{\textit{\Large Areas}}{\stackrel{\textit{4 triangular faces}}{4\left[ \cfrac{1}{2}(7.5)(16) \right]}~~ + ~~\stackrel{\textit{rectangular base}}{(7.5)(7.5)}}\implies 240~~ + ~~56.25\implies 296.25~ft^2[/tex]


Consider the function f(x) = - 3x² + 30% - 3.
Determine, without graphing, whether the function has a minimum value or a maximum value.
Find the minimum or maximum value and determine where it occurs.
Identify the function's domain and its range.
O
..
a. The function has a
value.
b. The minimum/maximum value is
It occurs at x =
c. The domain offis
(Type your answer in interval notation.)
The range of fis 1 (Type your answer in interval notation.)
Copyright

Answers

Answer:

a. maximum value

b. x = 5

c. domain = all reals , range = y is less than or equal to 72

Step-by-step explanation:

a. maximum because it is a negative function and thats the highest value

b. thats the x value of the vertex which is the highest point

solve please. find volume

Answers

The figure given in the image is a cuboid which have 3 sides, with Length, breadth and height, it's basically a 3-D shape, so here for volume of the cuboid, we can just multiply all the sides and we will be just done then after writing the SI unit of volume against it

[tex]{:\implies \quad \sf So,\:\: Volume=4\dfrac{2}{5}\times 10\times 3}[/tex]

[tex]{:\implies \quad \sf Volume=\bigg(\dfrac{20+2}{5}\bigg)\times 10\times 3}[/tex]

[tex]{:\implies \quad \sf Volume=\dfrac{22}{5}\times 10\times 3}[/tex]

[tex]{:\implies \quad \sf Volume=22\times 2\times 3}[/tex]

[tex]{:\implies \quad \sf Volume=44\times 3=\boxed{\bf{132\:\: m^{3}}}}[/tex]

Khairi has only 20¢ and 50¢ coins in his coin bank. There are twice as
many 20¢ coins as 50¢ coins. How many 20¢ coins are there in the coin
bank if all the coins add up to $17.10?

Answers

Answer:

There is 43 20¢ in the coin bank.

Other Questions
What is the country to the north of the U.S.? AlaskaMexicoCanadaGreat Britain expermant laveas test strach Can someone help me with this question how did scientists change societies view of smoking after 1960? I need help 1 through 13 please and thank you I dont get it because I dont have a calculator Help me with this question!!50 points + Brainliest No spammers allowedThanks in advance.No. 7.a Compare the graphs that jennifer and matt drew by completing the statements. jennifers graph is vertically shifted from matts graph. jennifers graph is horizontally shifted from matts graph. jennifers graph is matts graph. which graph has a vertex that is a maximum? Line is defined as aa a geometric shape that is open and moves from one point to another.b. a slowly curving path along a plane.C. a path through space.d. The distance or area between around, above, below and within objects.Please select the best answer from the choices providedOAaBOD Jimmy invests $2000 in a money market account earning 8.5% interest compounded continuously. Which of the following is an equation that can be used to determine the valueof Jimmy's investment account after t years? What does the excerpt reveal about cristina garcia? her background in journalism has made the writing of realistic fiction more difficult for her. her background in journalism has helped her research and use realistic details in her fiction. her background in journalism has prevented her from using magic realism in her fiction. her background in journalism has caused her to become an efficient and thorough editor. A window in Lynn and Jorge's house needs to bereplaced. The rectangular window is 3 feet 5 inchestall and 2 feet 7 inches wide. Change each of themeasurements to inches.(a) Find the perimeter of the window in inches.(b) If the perimeter needs to be sealed with insulationthat is $0.50 per inch, how much will it cost to insulatethe perimeter? Please help! Will mark brainliest can you please help me Beat us is gotten from the Latin word? Tim will buy a pair of shoes that cost $120.He received a 35% discount coupon. Luckily his friend Mario gets an additional 15% discount being an employee of the store. If Mario buys the shoes for Tim, how much will Mario pay if the tax is 8%? Round your answer to the nearest centavo A length of DNA that codes for a particular characteristic is called a A:alleleB:geneC:cellD:Dna A cluster of thunderstorms has developed over the Atlantic Ocean in August. Thespeed of its wind is getting higher. It has heavy rains and is moving towards theeast coast of North America. What may develop from this?Aa blizzardB.a hurricanea tornadoDa droughtCom Mr. Nathan ordered a total of 24 roses in three different colors. 1/3 white 1/4 yellow, and the rest red. What is the number of red roses Mr. Nathan ordered? Enter your answer in the box. You created a formula in cell c8. When you copy the formula into cell d8, which action are you taking?.