Determine the equation of the circle graphed below.

Determine The Equation Of The Circle Graphed Below.

Answers

Answer 1

The standard equation of the circle in the graph is (x - 2)² + (y - 5)² = 16

How to determine the standard equation?

From the graph, we have the following parameters:

Center (a,b) = (2,5)Radius, r = 4

The equation of the circle is then calculated using:

(x - a)² + (y - b)² = r²

So, we have:

(x - 2)² + (y - 5)² = 4²

Evaluate

(x - 2)² + (y - 5)² = 16

Hence, the standard equation of the circle in the graph is (x - 2)² + (y - 5)² = 16

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Related Questions

Find the Nth term of this number sequnce
7,10,13,16

Answers

[tex]\text{It is an arithmetic series.}\\\\\text{First term,}~ a = 7\\\\\text{Common difference,}~ d=10 -7 = 3\\\\\text{Nth term} = a + (n -1) d\\\\~~~~~~~~~~~~~=7+(n-1)3\\\\~~~~~~~~~~~~~=7+3n-3\\\\~~~~~~~~~~~~~=4+3n[/tex]

Not only would I like the value of x, but also I wonder how I’d go about solving this problem?

Answers

Answer:

x = 58

Step-by-step explanation:

This question can be solved by using the exterior angle property, which states that the exterior angle of a triangle = the sum of the two opposite interior angles.

62 lies on a line, so the exterior angle is 180 - 62, or 118 degrees.

Using the EAP, we can conclude the following:

(x + 2) + (x) = 118

2x + 2 = 118

2x = 116

x = 58

Hope this helps

Answer:

X=58

Step-by-step explanation:

1.)  62+2+2x=180  

2)  64+2x=180    (add 62 and 2)

3) 2x=116  (subtract 64 from 180)

4)x=58  (divide 116 by 2 =58

The circumference of a circle is 88 ft. Find the diameter to the nearest tenth. Use 227 for .

Answers

Answer:

28.0ft

Step-by-step explanation:

22/7= π= 3.142857143

circumference= πd

88= 3.142857143×d

d= 88/3.142857143

d=28.0ft

find an angle between 0 and 2\pi that is coterminal with -5pi/12

Answers

Check the picture below.

The circle is rotated around the horizontal dashed line. Which type of geometrical figure will be generated?

A.
cylinder
B.
sphere
C.
ring
D.
cylindrical shell

Answers

When the circle is rotated  around the horizontal dashed line, the resultant figure is a sphere.

What is a circle?

A circle is a round figure. The sum of angles in a circle is 360 degrees. The circle could be rotated to yield another figure.

Thus, when a circle such as the one here is rotated  around the horizontal dashed line, the resultant figure is a sphere.

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Answer:

Sphere

Step-by-step explanation:

I got it right on Edmentum

Hook me up with a 5 star and a thanks :)

In the following problem solve for X

Answers

Answer:

x = 6

Step-by-step explanation:

4   is  to 12    as    x is to 18

4/12 = x/18

4/12  * 18 = x = 6

The model represents the factorization of 2x2 5x 3. an algebra tile configuration. 4 tiles are in the factor 1 spot: 2 x tiles, 2 tiles. 2 tiles are in the factor 2 spot.: 1 x tile, 1 tile. 10 tiles are in the product spot in 4 columns with 2 rows. first row: 2 x squared tiles, 3 x tiles. second row: 2 x tiles, 3 tiles. what are the factors of the polynomial? (2x 3)(x 1) (2x−3)(x−1) (3x 2)(x 1) (3x−2)(x−1)

Answers

The algebra tile configuration that represents the factors of 2x² + 5x + 3 must have a product of (2x + 3) and (x + 1)

How to model the factor?

The expression is given as:

2x² + 5x + 3

Expand the expression

2x² + 5x + 3 = 2x² + 2x + 3x + 3

Factorize the expression

2x² + 5x + 3 = 2x(x + 1) + 3(x + 1)

Factor out x + 1

2x² + 5x + 3 = (2x + 3)(x + 1)

The above means that the algebra tile configuration that represents the factors of 2x² + 5x + 3 must have a product of (2x + 3) and (x + 1)

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Answer:

(A)    (2x+3)(x+1)

Step-by-step explanation:

got it right on edge 2022

Need help in math ASAP

Answers

Answer:

Step-by-step explanation:

Givens

Plastic Bag with 3000 cm^3 of sand

Bottle

radius = 7

height = 15 cm

Formula for cylinder

V = pi * r^2 * h

Solution for the Volume of the bottle

V = pi r^2 h

r = 7 cmh = 15 cmpi = 3.14

V = 3.14*7*7*15

V = 2307.9

Answer

A

The bottle is too small.

What is this word phrase as a math expression?

11 times the sum of a number and 15

11y + 15
11+(y+15)
11y + 15y
11(y+15)

Answers

11 times the sun of a number and 15

11(y+15)

the answer is d

have great day and I hope you make a good grade

Answer:

D

11(y+15)

Step-by-step explanation:

i really you get this right!

do good on your test!!

When completely filled, a spherical storage tank
holds 7,240 A of propane. What is the radius of
the tank?

Answers

Answer:

radius: 12

Given the following:

Volume of sphere: 7,240

Formula of volume of sphere:

Volume = 4/3 π (radius)³

Find radius:

4/3 π (radius)³ = 7,240

change sides

(radius)³ = 7,240/(4π/3)

simplify

(radius)³ = 1728.422682

cube root on both sides

radius = ∛1728.422682

simplify

radius = 12

Select the correct answer. A company offers its employees free recreational activities and gym memberships. Of the 200 employees, 95 employees registered for recreational activities, 80 employees registered for gym memberships, and 30 employees did not register at all. If an employee is chosen at random, what is the probability that the employee has registered for both recreational activities AND gym memberships?

Answers

Answer:

1/40

Step-by-step explanation:

95 + 80 + 30 = 205
205 - 200 = 5
5/200 = 1/40

Took the test and got it right.

Hope this helped!

By using Venn Diagram, one can easily visualize that 5 people out of 200 chose both the activities(or whatever)

So.

[tex] \frac{5}{200} = \boxed{\frac{1}{40}} = 2.5percent[/tex]

(sorry for the s t u p i d handwriting)

Given: ΔDFE is isosceles with base FE; FB ≅ EC.

Prove: ΔDFB ≅ ΔDEC

Triangle D F E is shown. 2 lines drawn down from point D to points C and B on the base of the triangle to form 3 triangles.
Complete the missing parts of the paragraph proof.



We know that triangle DFE is isosceles with base FE and that segment FB is congruent to segment EC because
. Segment DF is congruent to segment
by the definition of isosceles triangle. Since these segments are congruent, the base angles, angles
, are congruent by the isosceles triangle theorem. Therefore, triangles
are congruent by SAS.

Answers

Answer:

Step-by-step explanation:

8 is not more than m

Answers

Answer: It is the 2nd one

Step-by-step explanation: 8≤m

5. A moving car has kinetic energy. If the mass is doubled what happens to the
amount of kinetic energy? If the speed is doubled what happens to the amount
of kinetic energy?

Answers

Answer:

See below ~

Step-by-step explanation:

Change in KE if mass is doubled

KE (original) = 1/2mv²KE (new) = 1/2 x (2m) x v²KE (new) = mv²⇒ KE is doubled

Change in KE if speed is doubled

KE (new) = 1/2 x m x (2v)²KE (new) = 1/2 x 4 x mv²KE (new) = 2mv²⇒ KE is quadrupled

A and B are independent events. If P(A) = 0.50 and P(A and B) = 0.20, find P(B).

Answers

The independent events are illustrations of probability, and the value of P(B) is 0.40

How to determine the value of P(B)?

The given parameters are:

P(A) = 0.50

P(A and B) = 0.20

Two events A and B are independent, if

P(A and B) = P(A) * P(B)

So, we have:

0.50 * P(B) = 0.20

Divide both sides by 0.50

P(B) = 0.40

Hence, the value of P(B) is 0.40

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If f(x) = 3x+ 2 and g(x) = 2x-2, what is (f-8)(x)?

Answers

Answer: x + 4

Step-by-step explanation:

    If it is asking us for (f - g)x, then we will subtract the function g from function f. Why? The x distributes creating f(x) - g(x), so we use this to solve.

   Given:

g(x) = 2x - 2

f(x) = 3x + 2

   Set up:

f(x) - g(x)

(3x + 2) - (2x - 2)

   Distribute the negatie:

3x + 2 - 2x + 2

   Reorder to combine like terms:

3x - 2x + 2 + 2

   Combine like terms:

x + 4

    (f - g)(x) = x + 4


. The initial cost for Travis and his band to record their first CD was $1500. Each CD will cost $4 to produce.
If they sell their CDs for $10 each, how many must they sell before they make a profit?

Answers

10x > 1500 + 4x

6x > 1500

x > 250

Since x cannot equal 250, they must sell 251 CD's before they can make a profit.

Proof:

[tex]1500+4(250)=2500[/tex]

[tex]10(250)=2500[/tex]

No net profit

[tex]1500+4(251)=2504[/tex]

[tex]10(251)=2510[/tex]

Net profit of $6

how do I make frequency table​

Answers

Answer:

To make such a frequency distribution table, first, write the class intervals in one column. Next, tally the numbers in each category based on the number of times it appears. Finally, write the frequency in the final column. A frequency distribution table drawn above is called a grouped frequency distribution table.

The circumference of a circular garden is approximately 20 feet. What is the approximate area inside the circular garden?

Answers

Answer:

31.85 square feet

Step-by-step explanation:

Finding the radius :

C = 2πr20 = 2πrr = 20/2πr = 10/π

Substituting in the area formula :

A = πr²A = π × 10/π x 10/πA = 100/πA = 100/3.14A = 31.85 square feet

So

2πr=20πr=10r=10/π

Now

Area

πr²πr(r)10r10(10/π)100/π31.8ft²

Which graph represents the solution set of the system of inequalities?
y < 3x – 1

y ≤ –2 x

Answers

Answer:

The #4 graph represents

Step-by-step explanation:

i plugged the inequalitites into desmos.

(see below)


2(4x + 1) - 3(5x - 1)
expand and simplify

Answers

Answer:
-7x + 5

Step-by-step explanation:

2(4x + 1) - 3(5x - 1)

8x + 2 - 3(5x-1)
8x + 2 - 15x + 3
8x + 5 - 15x
-7x + 5

Hope it helped !
Adriel

how many inches are in 1 1/2 ?

Answers

Answer:

18 inches

Step-by-step explanation:

Assuming that 1 1/2 is measured in feet:

1.5ft × 12

= 18"

Explain how to prove a theorem with the axiomatic system?​

Answers

Answer:

my answer is in the picture just tap it

Step-by-step explanation:

pleas heart my answer

rate my answer 5 stars

follow me

and brainliest me

pleas

please help me I will give brainliest ​

Answers

B

because it starts at the rarefraction.

35-12+6×36÷4 simplify it​

Answers

[tex]\huge\text{Hey there!}[/tex]

[tex]\huge\textbf{Equation:}[/tex]

[tex]\mathsf{35 - 12 + 6 \times 36 \div 4 }[/tex]

[tex]\huge\textbf{Simplifying:}[/tex]

[tex]\mathsf{35 - 12 + 6 \times 36 \div 4 }[/tex]

[tex]\mathsf{= 35 - 12 + \dfrac{6\times36}{4}}[/tex]

[tex]\mathsf{= 23 + \dfrac{6\times36}{4}}[/tex]

[tex]\mathsf{= 23 + \dfrac{216}{4}}[/tex]

[tex]\mathsf{= 23 + 54}[/tex]

[tex]\mathsf{= 77}[/tex]

[tex]\huge\textbf{Therefore, your answer should be:}[/tex]

[tex]\huge\boxed{\mathsf{77}}\checkmark[/tex]

[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]

~[tex]\frak{Amphitrite1040:)}[/tex]

Nancy buys 15 m of ribbon. Her sister buys 6 m less ribbon but pays twice as much per metre. Together they pay R66. What is the price per metre of each type of ribbon?​

Answers

Answer: 44/9 ----> 22/9

I hope this helps you

The money in Maya’s college savings account earns 2 1/5% interest. Which value is less than 2 1/5%?

Answers

Answer:

u be mumu go ask ur father that one

Which picture shows 2/4?

Answers

Answer:

d) last bottom picture

Step-by-step explanation:

This shape has 4 boxes and two are shaded. So, it means the fraction of 2/4. Hence, option (d) is the correct answer.

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

[tex]\blue\textsf{\textbf{\underline{\underline{Question:-}}}}[/tex]

Which picture shows 2/4?

[tex]\blue\textsf{\textbf{\underline{\underline{Answer and How to Solve:-}}}}[/tex]

Remember, fractions should be equal parts.

The first one shows 2/5, so it's not Option A.

The second one doesn't have equal parts, so this is not a fraction.

Henceforth, it's not Option B either.

The third option shows 1/3, so it's not Option C.

However, the fourth option does show 2/4, and the parts are equal.

[tex]\dashrightarrow\bigstar\boxed{\boxed{\bold{Option\:D\:is\:correct}}}\dashleftarrow[/tex]

Good luck.

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

8. Find the surface area of the regular hexagonal prism shown below.
Show Work
1.7 in.-
2 in.
8 in.

Answers

Melody need 155 bags of 140 cu. inches to fill the vegetable garden.

What is Volume of Cuboid?

The volume of the cuboid is the measure of the space occupied within a cuboid. The cuboid is a three-dimensional shape that has length, breadth, and height.

Here, Length of vegetable garden = 48 inch

          breadth of garden = 30 inches

          height of garden = 15 inches

Volume of garden = Length X width X height

                              = 48 X 30 X 15

                              =  21600 cu. inches

Volume of each bag = 140 cu. inches

Number of Bags required = Volume of garden/Volume of each bag

                                            = 21600 / 140

                                            ≈ 155

Thus, Melody need 155 bags of 140 cu. inches to fill the vegetable garden.

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number 12 Simplify the expression. Write your answer as a power.

Answers

Answer:

(4)^5

Step-by-step explanation:

When multiplying expressions with exponents you add the exponents together so in this equation you would get -4^11/-4^6. However since both exponent have the same base (-4) you can simplify it farther. When dividing expression with exponents you subtract the exponents. So, here, you would get 4^5.

Hope that helps! :)

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