What is the equation of the circle shown?

What Is The Equation Of The Circle Shown?

Answers

Answer 1

Answer:

(x + 4)² + (y - 2)² = 8

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

Here (h, k ) = (- 4, 2 ) , then

(x - (- 4))² + (y - 2)² = r²

(x + 4)² + (y - 2)² = r²

CA is the radius of the circle

To find r use the distance formula

r = [tex]\sqrt{(x_{2}-x_{1})^2+(y_{2}-y_{1})^2 }[/tex]

with (x₁, y₁ ) = C(- 4, 2) and (x₂, y₂ ) = A(- 2, 4)

r = [tex]\sqrt{(-2+4)^2+(4 -2)^2}[/tex]

  = [tex]\sqrt{2^2+2^2}[/tex]

  = [tex]\sqrt{8}[/tex] , then r² = ([tex]\sqrt{8}[/tex] )² = 8

Then

(x + 4)² + (y - 2)² = 8 ← equation of circle


Related Questions

Which proportional goes into 12/15 ?

Answers

Answer:

-80%

Step-by-step explanation:

If the measure of angle 2 is 100 degrees. What is the measure of angle 8? Why?

Answers

Answer:

5

Step-by-step explanation:

thanks for the points

can someone please solve this​

Answers

Step-by-step explanation:

y= -3x/2+b

at (-4,9)

9= -3(-4)/2+b

9= 12/2 +b

9=6+b

b=3

Rearranging:

3x/2 + y = 3

Help!!!!!!!!!!plz!!!!!!!!!!!!

Answers

Answer:

16

Step-by-step explanation:

By intersecting secants theorem:

[tex]9(2x - 17 + 9) = 8(8 + 10) \\ \\ 9(2x - 8) = 8 \times 18 \\ \\ 2x - 8 = \frac{144}{9} \\ \\ 2x - 8 = 16 \\ \\ 2x = 16 + 8 \\ \\ 2x = 24 \\ \\ x = \frac{24}{2} \\ \\ x = 12[/tex]

CE = 9 + (2x - 17)

CE = 9 + (2*12 - 17)

CE = 9 + (24 - 17)

CE = 33 - 17

CE =16

A triangular prism has a height of 9 meters and a triangular base with the following dimensions.

What is the volume of the prism?

- 420 m^3

- 288 m^3

- 324 m^3

- 432 m^3

Answers

Answer:

V = 432 m³

Step-by-step explanation:

The volume (V) of a prism is calculated as

V = Ah ( A is the area of the base and h the height )

A = [tex]\frac{1}{2}[/tex] bh ( area of triangular base, with b the base, h the perpendicular height)

Here b = 16 and h = 6 , then

A = [tex]\frac{1}{2}[/tex] × 16 × 6 = 8 × 6 = 48 m²

Then

V = 48 × 9 = 432 m³

(4-1) (4-1) (4-1)
please teach me this i will mark you brainliest answer​

Answers

Answer:

I think it's 27

Step-by-step explanation:

(4-1)(4-1)(4-1)

(3)(3)(3)

9×3

27

What is the answer to 6 ^-2?

Answers

Answer: 0.02777777777

Step-by-step explanation:

in the figure OP= 1 what are the coordinates of Point p​

Answers

Answer:

C. (cos θ, sin θ)

Step-by-step explanation:

The x-coordinate of P:

x/OP = cos θ ⇒ x = OP cos θ = cos θ

The y-coordinate of P:

y/OP = sin θ ⇒ y = OP sin θ  = sin θ

The coordinates of point P are:

(cos θ, sin θ)

Correct choice is C

Distance from x axis

sinØ=x/OPx=OPsinØ=sinØ

Distance from y axis

y=OP cosØy=cosØ

P(cosØ,sinØ

If x2 + 12x + n is a perfect square trinomial,
then n =?

Answers

Answer:

The answer is n=36 Hope this helps^_^

Step-by-step explanation:

plz give brainliest and rating

Find the area of the composite figure. Show your work. What is the area of the figure?​

Answers

Answer:

46 units²

Step-by-step explanation:

The figure can be decomposed into 2 triangles and a rectangle.

Area of rectangle = L*W

W = 4

L = 8

Area = 32 units²

Area of triangle 1:

Area = ½(b*h)

b = 3

h = 4

Area = ½*3*4

Area = 6 in.

Area of triangle 2:

b = 4

h = 4

Area = ½*4*4

Area = 8 units

✅Area of the figure = 32 + 6 + 8

= 46 units²

1. What kind of polyhedron can be assembled from this net?
2. Find the surface area (in square units) of the polyhedron. Show your reasoning.

Answers

Answer:

Honestly it looks like a rectangular prism.

Step-by-step explanation:

Picture that you're folding it. the dark lines are the crevaces that you fold on.

13. In the right triangle depicted below, what is the cosine of angle B?

Answers

Answer:

number c

Step-by-step explanation:

.............. just for filling 20 characters

the cosine of angle B

C. 0.767

How do you find the cosine of a triangle?

the cosine of an angle in a right triangle equals the adjacent side divided by the hypotenuse: Also, cos A = sin B = b/c.

The cosine formula to find the side of the triangle is given by: c = √[a2 + b2 – 2ab cos C] Where a,b and c are the sides of the triangle.

Pythagoras Theorem is a generalization of the Law of Cosine.

The law of cosine can be applied in any triangle.

Learn more about the cosine of a triangle here

https://brainly.com/question/12028180

#SPJ2

An eight minute phone call cost $3.36. What rate describes the cost for each minute?

Answers

Answer:

0.46 a minute or 46 cents a minute

Step-by-step explanation:

$3.36 divided by 8 is 0.46 or 46 cents

given parallelogram ABCD with A(-3,0), B(-2,3), C(3,2) and D(2,-1) find the coordinates of the diagonals AC and BD

Answers

Plot graph and count for A.

A (-1,10)

If y = 2,300 (3x), what is y if x = 3?

No files or links. Just answers.

Answers

Answer:

20700

Step-by-step explanation:

3 times 3 times 2300 = 20700

3(x + 2y) + 8 + 5y = 3 × x + 3 x 2 x y + 8+ 5y
?x +?y+8 + 5y
help pls I will mark you if you answer​

Answers

Draw a two-dimensional representation of each prism. Then find the area of the entire surface of each prism

Simplify. Rewrite the expression in the form 4n. 49​

Answers

Answer:11^3

Step-by-step explanation:

Answer:

easy bro 4/49

Step-by-step explanation:

that is the lowest it can go :)

the table shows the costs of different size jars of peanut butter. Which of the jars have the lowest unit rate?

Answers

Answer:

Step-by-step explanation:

Option C) 25-oz jar has the lowest unit rate

What is the unit rate?

Unit rate is the ratio of two different units, with the denominator as 1. For example, kilometer/hour, meter/sec, miles/hour, salary/month, etc

Given here the cost of a 12 oz jar is $3

so the unit rate of a 12 oz jar is = 12/3

                                                 = 4

similarly, the unit rates of all the jars from the given table are

 18 oz jar = 18/4.40

                = $4.09

25 oz-jar = 25/6.75

               = $3.703

32 oz jar = 32/8.25

               = $3.87

Hence the jar with the lowest unit rate is the 25 oz jar

Learn more about the unit rate here:

https://brainly.com/question/29781084

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How to get a one to one function with the same range as the original ?

function using is 4x^2+8x+1

Answers

Answer:

you should try math  sway but take out the s

Step-by-step explanation:

Lale is mixing together some fertilizer. The instructions say to mix 20 liters of water with 5 liters of liquid fertilizer.
How many liters of water should Lale mix with 1 liter of liquid fertilizer?
O A 4 liters
B. 5 liters
C. 10 liters
D. 15 liters

Answers

Answer:

a. 4 liters of water......

Answer:

20/5 = 4

Step-by-step explanation:

the answer at the pic

can someone please help me​

Answers

Answer:

y - 4 = 3(x-3)

Step-by-step explanation:

Please help me find x

Answers

Answer is 3x because u do 12-9 which gets three and since it was originally 12x and you don’t know what X is you just put the x on the 3 and get 3x

Factorise x^2 + 10x + 16

Answers

Answer:

(x + 2) (x + 8)

Explanation:

x^2 + 10x + 16
(x + 2) (x + 8)


Amelia needs to buy some dog food. At the nearest store, 6 bags of dog food cost $34.50. How
much would Amelia spend on 2 bags of dog food? ASAP

Answers

Answer:

34.50/3=11.5 SOOOOO- the answer will be 11.50$ (11 bucks 50 cents)

Step-by-step explanation:

Answer: Amelia would spend exact $28.75

A tuna can has a diameter of 5.3 cm and a height of 4.1 cm. What is the volume of a cylindrical package
containing 5 tuna cans? Round your answer to the nearest whole number

Answers

Using the formula v = pi x r^2 x h

pi x 18.0625 x 4

You will get the answer= 72.25pi

and rounded you get

=

72pl

If this is a perfect square trinomial, factor it 2 + 5x + 25 O(x + 5)? This is not a perfect square trinomial. 0 0 (x – 5)? o (x + 5) (2 5)​

Answers

Answer:

There is one "special" factoring type that can actually be done using the usual methods ... "Perfect square trinomials" are quadratics which are the results of squaring binomials. ... This means that I'll have a "plus" sign between the x and the 5. ... it had a middle term of –25x, and this does not match what the pattern requires.

Step-by-step explanation:

Intersecting Secant (Exterior)
Find X =

Answers

Answer: x = 13

Step-by-step explanation:    the equation to solve this is:

4 × (4 + 8) = 3 × (3 + x)

so we solve the first half of that:

4 × (4 + 8)

4 × 12

48

now we have:

48 = 3 × (3 + x)

so we switch the sides to make it easier and solve

3 × (3 + x) = 48

divide both sides by 3

3 × (3 + x) ÷ 3 = 48 ÷ 3

and get

3 + x = 16

now subtract 3 from both sides

3 + x = 16

-3         -3

and finally we get

x = 13

hope this helped :)

A binder is 9 inches wide, 12 inches long and 1.5 inch thick. what is the volume of documents the binder can hold?

Answers

Answer:

162 square inches

Step-by-step explanation:

9*12*1.5

Answer:

162 cubic inches

Step-by-step explanation:

9 times 12 times 1.5

7/8•1/2??? I can’t do it in my head put it in fraction from please

Answers

Answer:

[tex]\frac{7}{16}[/tex]

Step-by-step explanation:

[tex]\frac{7}{8}[/tex] x [tex]\frac{1}{2}[/tex] = [tex]\frac{7}{16}[/tex]

7 x 1 = 7

8 x 2 = 16

Let me know if this helps!

find the length of side X in simplest radical form with a rational denominator

Answers

Answer:

6

Step-by-step explanation:

Since the two angles (base ) are equal therefore the sides opposite to them will also be equal . Therefore , the value of x will be 6 .

Hence the value of x is 6.
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