Determine the equation of the circle graphed below.
10
8
10
-10
-8
-6
2
-2
-4
-6
-8
-10

Determine The Equation Of The Circle Graphed Below.10810-10-8-62-2-4-6-8-10

Answers

Answer 1

Answer:

Equation = (x - 6 )² + ( y + 3 )² = 9

Step-by-step explanation:

The circle passes through ( 6, 0) and  ( 6 , -6)

They are the coordinates of the diameter.

Using this we can find the centre of the circle.

Find the centre of the circle.

Centre of the circle is the mid- point of (6, 0) and ( 6, -6)

      [tex]Centre = (\frac{x_1+x_2}{2} , \frac{y_1 + y_2}{2})[/tex]

                 [tex]=(\frac{6 + 6}{2}, \frac{0 + (-6)}{2})\\\\=(6, -3)[/tex]

Find the radius of the circle.

[tex]Radius = \frac{Diameter }{2}[/tex]

Diameter is the distance between the points (6 , 0) and ( 6, - 6)

[tex]Diameter = \sqrt{(x_2 - x_1)^2+ (y_2 - y_1)^2\\}[/tex]

               [tex]=\sqrt{(6-6)^2 + (-6 -0)^2}\\\\=\sqrt{0 + 36} \\\\= 6[/tex]

Therefore,

    [tex]Radius ,r = \frac{6}{2} = 3[/tex]

Standard equation of a circle:

[tex](x - a)^2 + (y - b)^2 = r^2 \ where \ (a , b) \ is \ the\ centre \ coordinates.[/tex]

Therefore , equation of the circle ;

                    [tex](x - 6)^2 + (y + 3)^2 = 3^2\\\\(x -6)^2 + (y + 3)^2 = 9[/tex]


Related Questions

Please help ASAP!!!

Answers

Answer:

C.

Step-by-step explanation:

When you replace x with x - h, the graph shifts h units horizontally.

Here, x is replaced by x - 12.

Compare x - 12 to x - h.

h = 12

The graph shifts 12 units to the right.

Answer:

answer maybe A..not sure but it might be in my opinion..

14x^4y^6/7x^8y^2 assume the denominator does not equal zero

Answers

Answer:

(y/x)⁴

Step-by-step explanation:

14x^4y^6/7x^8y^2

= 2x^(-4)/2y^(-4)

= (y/x)

Answer:

2y^4/x^2

Step-by-step explanation:

4x^4y^6 ÷ 7x^8y^2

you will find the GCF of the equation which is: 7x^4y^2 . Then, you will divide both of the equation by the GCF and it will become

14x^4y^6 ÷ 7x^4y^2 = 2y^4

7x^8y^2 ÷ 7x^4y^2 = x^2

then you'll get the answer 2y^4/x^2

a basketball team playd 64 games they won 28 more than they lost

Answers

They won 46 games. They lost 18 games.

Find the value of x.
68°
110°
135°

Answers

Answer:

47

Step-by-step explanation:

Answer:

hi, the answer is 47°

Step-by-step explanation:

68+135+110=313 360-313=47

Shawna reduced the size of a rectangle to a

height of 2 in. What is the new width if it

was originally 24 in wide and 12 in tall?​

Answers

Answer: 10 in

Step-by-step explanation:


Need help please with end behavior!

Answers

I'll focus on problem 2.

For these types of problems, I recommend graphing the functions to see how the end behavior looks.

The graph of y = x^2 has a parabola where both endpoints aim upward. So each end goes to positive infinity (regardless if x is going to positive or negative infinity).

In short, the graph rises to the left and it rises to the right.

Increasing the leading coefficient will not change this fact. We can pick any leading coefficient we want and the end behavior will stay the same. All that matters is the leading coefficient is positive.

If the leading coefficient becomes negative, then everything flips: the endpoints will aim down. The other terms we add on (such as a 3x+3) will not change the end behavior. The leading term, with the largest exponent, is what directly and solely determines the end behavior.

The graph is shown below. I used GeoGebra to make the graph. Desmos is another handy tool you could use.

i need help with this question on my homework

Answers

Answer:

the angle would be 64°

Step-by-step explanation:

since the other angle is already 296° having the other angle would add to complete the 360 degrees of the circle

Answer:

Step-by-step explanation:

64 because you subtract 360 by 296

George would like to build a garden this year, George measure out his proposed garden and would like to know how many square feet of space he will have to use . Calculate the area of the garden from the picture below

Answers

Answer:

The area is 105.5ft^2

Step-by-step explanation:

Required

The area of the composite figure

The figure can be divided to 2 shapes

(1) Rectangle: Length = 6ft and Width = 8ft

(2) Trapezoid: Height = 5ft (i.e. 8 - 3), Parallel sides = 9ft and 14ft (i.e. 20 - 6)

The area of the rectangle is:

[tex]Area = 6 * 8 = 48[/tex]

The area of the trapezoid is:

[tex]Area = \frac{1}{2}(9 + 14) * 5[/tex]

[tex]Area = \frac{1}{2}(23) * 5[/tex]

[tex]Area = 11.5 * 5[/tex]

[tex]Area = 57.5[/tex]

So, the area of the garden is:

[tex]Total = 48 + 57.5[/tex]

[tex]Total = 105.5[/tex]

sammy is on level 40 , which is five times as much as rocky.what islevel rocky on​

Answers

Answer:

8

Step-by-step explanation:

40÷5=8

Hope this helps! :)

Rocky is on level 8 because 40 divided by 5 is 8

Natural logs can be written as _______.

Answers

Answer:

Step-by-step explanation:

The natural logarithm of x is generally written as ln x, loge x, or sometimes, if the base e is implicit, simply log x.

Answer:

Ln x as opposed to log x

Step-by-step explanation:

Solve the homogeneous linear system corresponding to the given coefficient matrix. (If there is no solution, enter NO SOLUTION. If the system has an infinite number of solutions, set x4 = t and x2 = s and solve for x1 and x3 in terms of t and s.)

[1 0 0 1]
[0 0 1 0]
[0 0 0 0]

(x1, x2, x3, x4) = _________

Answers

Answer:

[tex]x_1 = -t[/tex]

[tex]x_2 = s[/tex]

[tex]x_3 = 0[/tex]

[tex]x_4 = t[/tex]

Step-by-step explanation:

Given

[tex]\left[\begin{array}{cccc}1&0&0&1\\0&0&1&0\\0&0&0&0\end{array}\right][/tex]

Required

Determine x1 to x4

First, we write the augmented matrix

[tex]\left[\begin{array}{cccc}1&0&0&1\\0&0&1&0\\0&0&0&0\end{array}\right] = \left[\begin{array}{c}0&0&0\end{array}\right][/tex]

Taking the position of each column, we have:

[tex]x_1 + 0 + 0 +x_4 = 0[/tex]

[tex]0 + 0 + x_3 +0 = 0[/tex]

[tex]0 + 0 + 0 + 0 = 0[/tex]

There is no explicit equation for [tex]x_2[/tex]

So: [tex]x_2 = s[/tex] ----- arbitrary variable

[tex]x_1 + 0 + 0 +x_4 = 0[/tex] implies that:

[tex]x_1 + x_4 = 0[/tex]

[tex]0 + 0 + x_3 +0 = 0[/tex] implies that

[tex]x_3 = 0[/tex]

[tex]0 + 0 + 0 + 0 = 0[/tex] implies that

[tex]0 = 0[/tex]

So, we have:

[tex]x_1 + x_4 = 0[/tex]

[tex]x_3 = 0[/tex]

[tex]x_1 + x_4 = 0[/tex] becomes

[tex]x_1 = -x_4[/tex]

Let

[tex]x_4 = t[/tex]

So:

[tex]x_1 = -x_4[/tex]

[tex]x_1 = -t[/tex]

Where t , s are real numbers

Suppose an test consisted of 10 multiple choice problems, each with five possible responses (A-E), only 1 of which is correct. If a student randomly guesses the answers to each question then what is the probability that a student guesses the correct answer to exactly 7 questions?

Answers

Answer:

Step-by-step explanation:

[tex]10C_{7}\times (0.2)^{7} \times (0.8)^{3}\\[/tex]

The probability that a student guesses the correct answer to exactly 7 questions is 0.004.

What is binomial probability?

The probability of exactly x successes on n repeated trials in an experiment which has two possible outcomes is called binomial probability.

Binomial probability formula

[tex]P_{x} =nC_{x} P^{x} q^{n-x}[/tex]

where,

P is binomial probability

x is number of times for a specific outcome within n trials

[tex]nC_{x}[/tex] number of combinations

p is probability of success on a single trial

q is probability of failure on a single trial

n is number of trials

According to the given question.

A test consisted of 10 multiple choices.

⇒ Number of trials,  n = 10

The student have to give exactly 7 correct answers.

⇒ x = 7

The probability of being correct in one trial, p = [tex]\frac{1}{5}[/tex]    

(only one option is correct among fives)

So, the probability of being incorrect/wrong in one trial, q = [tex]1-\frac{1}{5} =\frac{4}{5}[/tex]

Therefore, the probability that a student guesses the correct answer to exactly 7 questions is given by

[tex]P_{x} = 10C_{7} (\frac{1}{5}) ^{7} (\frac{4}{5} )^{3}[/tex]

⇒ [tex]P_{x} = \frac{10!}{7!3!} (0.2)^{7}( 0.8)^{3}[/tex]

⇒[tex]P_{x} = 120(0.0000128)(0.512)[/tex]

⇒ [tex]P_{x} =0.004[/tex]

Hence, the probability that a student guesses the correct answer to exactly 7 questions is 0.004.

Find out more information about binomial probability here:

https://brainly.com/question/12474772

#SPJ3

Identify the vertex, focus, and directrix of the graph. Which of the following equations represents the parabola in the graph?


need help with this, i’ll mark you brainliest!!

Answers

Answer:

Equation: [tex](x-2)^2=16(y-2)[/tex]

Vertex: [tex](2,2)[/tex]

Directrix: [tex]y=-2[/tex]

Focus: [tex](2,6)[/tex]

Step-by-step explanation:

Standard Form of Vertical Parabola:

Equation -> [tex](x-h)^2=4p(y-k)[/tex] where [tex]p\neq 0[/tex]Vertex -> [tex](h,k)[/tex]Directrix -> [tex]y=k-p[/tex]Focus -> [tex](h,k+p)[/tex]

We know that our vertex is [tex](h,k)[/tex] -> [tex](2,2)[/tex], therefore, we can determine the value of [tex]p[/tex] by selecting a point from the parabola as [tex](x,y)[/tex]:

[tex](x-h)^2=4p(y-k)[/tex]

[tex](x-2)^2=4p(y-2)[/tex]

[tex](6-2)^2=4p(3-2)[/tex]

[tex](4)^2=4p(1)[/tex]

[tex]16=4p[/tex]

[tex]4=p[/tex]

Therefore:

Directrix -> [tex]y=k-p[/tex] -> [tex]y=2-4[/tex] -> [tex]y=-2[/tex]Focus -> [tex](h,k+p)[/tex] -> [tex](2,2+4)[/tex] -> [tex](2,6)[/tex]

Conclusion:

Equation -> [tex](x-2)^2=16(y-2)[/tex]Vertex -> [tex](2,2)[/tex]Directrix -> [tex]y=-2[/tex]Focus -> [tex](2,6)[/tex]

Review the graph for a visual

Ahmed packs 8 text books each of mass x grams. And two dictionaries each mass y grams into a box of mass 250 grams. What is total mass of the box now?​

Answers

Answer:

8x + 2y + 250 grams

Step-by-step explanation:

The box contains

8 text   books each with a mass of x grams = 8x

2 dictionaries each with a mass of  y grams = 2y

1 box                                                                 = 250 grams

Total                                                                 = 8x + 2y + 250

SOLVE THIS PROBLEM PLEASE 20 POINTS

Answers

Answer:

x=5

y=0

Step-by-step explanation:

KL = JM

3x-y = 15

and JK = LM

4x -4y = 20

Divide this equation by 4

x-y= 5

Multiply by -1

-x+y =-5

Add this to the first equation

3x-y = 15

-x+y =-5

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

2x = 10

Divide by 2

2x/2 = 10/2

x =5

x-y = 5

5-y = 5

-y = 0

y =0

Answer:

x=5,y=0

Step-by-step explanation:

KL=JM [Opposite sides of rectangle are equal]

3x-y=15-> eq 1

JK=LM

4x-4y=20

=>4(x-y)=20

=>x-y=5-> eq 2

From eq 1 and 2,

   3x-y=15

     x-y=5

=>2x=10

=>x=5

x-y=5

y=x-5

=>y=5-5

=>y=0

In parallelogram HJKL if HM=12 find HK.
K
M
M
H
L

Answers

Answer:

HK = 24

Step-by-step explanation:

HK and JL are diagonals of the parallelogram.

Recall that diagonals of a parallelogram bisect each other. This implies that, they divide each other into equal parts.

Therefore,

HK = 2(HM)

HM = 12

Thus,

HK = 2(12)

HK = 24

The following dot plot shows the number of chocolate chips in each cookie that Shawn has. Each dot represents a different cookie. Which of the following is a typical amount of chocolate chips in one of Shawn's cookies?

Choose 1 answer:

Please help me!!!!

Answers

Using the dot plot, it is found that a typical amount of chocolate chips in one of Shawn's cookies is around 4.56.

What is a dot plot?

The dot plot is a graph shows the number of times each measure appears in the data-set.

Researching this problem on the internet, the dot plot states that:

2 cookies have 2 chips.2 cookies have 3 chips.5 cookies have 4 chips.4 cookies have 5 ships.3 cookies have 6 ships.2 cookies have 7 chips.

The mean is given by:

M = (2 x 2 + 2 x 3 + 5 x 4 + 4 x 5 + 3 x 6 + 2 x 7)/(2 + 2 + 5 + 4 + 3 + 2) = 4.56.

Hence, a typical amount of chocolate chips in one of Shawn's cookies is around 4.56.

More can be learned about dot plots at https://brainly.com/question/24912483

Answer:

5 chocolate chips

Step-by-step explanation:

did on khan

Anempt 1012
Find the mean for the given set of data.
-4,-3,-1,-1, 0,1

Answers

Answer:

-1 1/3

Step-by-step explanation:

To find the mean, add up all the numbers

(-4+-3+-1+-1+0+1) =

-8

Then divide by the number of terms

-8/6

-4/3

-1  1/3

Answer A is your answer

Step-by-step explanation:

90 dollars ratio in 1:2:3

Answers

Answer:

3:6:9

Step-by-step explanation:

1/1+2+3 × 90 = 15

2/1+2+3 × 90 = 30

3/1+2+3 × 90 = 45

please answer yes i give brainliest
A.
B .
C.
OR
D.

Answers

I think the answer is D

Explanation:

Linear functions are those whose graph is a straight line.

Answer:

D. its the only straight line

Step-by-step explanation:

by the way, they are all functions

A block of wood has the shape of a triangular prism. The bases are right triangles. Find its surface area. 4.5 in 6 in 16 in 7.5 in

Answers

Answer:

315 in²

Step-by-step explanation:

the surface area is the sum of the areas of all the individual shapes in the surface.

so, we have the 2 triangular bases and 3 rectangles as is sides.

the area of a rectangular triangle is a×b/2

we need them twice, so that is then a×b

a=4.5

b=6

a×b = 27 in²

one rectangle is 16×7.5 = 120 in²

one rectangle is 16×6 = 96 in²

one rectangle is 16×4.5 = 72 in²

total surface area is therefore

A = 27+120+96+72 = 315 in²

Suppose x and y are sets such that XuB=(-8,-4,-2,0,2,4,6,8), XnY =(-2,0,2) and X/Y =(-8,8) on this basis which of the following is not true

Answers

Answer:

I need points

Step-by-step explanation:

PLEASE HELP ASAP!! The graph of the equation y = 3x + 1 is shown below.

Answers

9514 1404 393

Answer:

  A.  y = 3^-x +1

Step-by-step explanation:

Reflection across the y-axis replaces x with -x. The reflected curve is described by ...

  y = 3^-x +1 . . . . matches choice A

Rico can walk 3 miles in the same amount of time that Donna can walk 2 miles. Rico walks at a rate 2 miles per hour faster than Donna. At that rate, what is the number of miles that Rico walks in 2 hours and 10 minutes?

Answers

Answer:

[tex]13[/tex]

Step-by-step explanation:

Donna's Rate is [tex]R[/tex]

Rico's Rate is [tex]R+2[/tex]

[tex]\frac{R}{R+2}=\frac{2}{3}[/tex]

Cross-Multiply

[tex]2(R+2)=32[/tex]

[tex]2R+4=3R[/tex]

[tex]4=R[/tex]

Donna's Rate is [tex]R=4[/tex]

Rico's Rate is [tex]R+2=6[/tex]

[tex]\frac{6(130)}{60} = \frac{130}{10}=13[/tex]

how would I classify a triangle which has a angle of 49 and 82, acute, right, or obtuse?

Answers

9514 1404 393

Answer:

  acute

Step-by-step explanation:

The third angle is ...

  180° -49° -82° = 49°

So, the triangle has two angles the same, 49°. When two angle are the same, the triangle is an isosceles triangle.

The largest angle, 82°, is less than 90°, so is an acute angle. The classification acute, right, or obtuse is based on the measure of the largest angle.

The triangle is an acute isosceles triangle.

Two expressions of the equation

Answers

Step-by-step explanation:

let the expression of the equation be :

x+y=0

x²+y²= 5

hope it is helpful to you

if ABCD is a cyclic quadrilateral and A,B,C,D are its interior angles , then prove that
tanA/2+tanB/2=cotC/2+cotD/2

answer the question plz
dont spam or else i will report that ​

Answers

9514 1404 393

Explanation:

In a cyclic quadrilateral, opposite angles are supplementary. This means ...

  A + C = 180°   ⇒   A/2 +C/2 = 90°   ⇒   C/2 = 90° -A/2

  B + D = 180°   ⇒   B/2 +D/2 = 90°   ⇒   D/2 = 90° -B/2

It is a trig identity that ...

  tan(α) = cot(90° -α)

so we have ...

  tan(A/2) = cot(90° -A/2) = cot(C/2)

and

  tan(B/2) = cot(90° -B/2) = cot(D/2)

Adding these two equations together gives the desired result:

  tan(A/2) +tan(B/2) = cot(C/2) +cot(D/2)

Suppose you have a regular hexagon with all side lengths equal to1. Prove that if you pick seven points from the interior of the hexagon, there is a pair of two points that are distance at most 1 apart.

Answers

Answer:

Proved

Step-by-step explanation:

Given

[tex]n = 6[/tex] --- sides of hexagon

[tex]l = 1[/tex] --- side length

Required

Prove that for 7 points picked from the interior, 2 points are at most 1 unit apart

1. Draw a hexagon  (see attachment)

2. Divide the hexagon into 6 triangles

3. Select 7 points on the hexagon

You will notice that at least 2 points will be in one of the triangle.

The maximum distance between these two points is 1 unit. This is because

1. The triangle is equilateral (all sides equal)

2. The length of each is 1 unit (in other words, the distance between points, cannot exceed the side length)

If i Bahraini dinar = £2.13, convert 4000 dinar to pounds. show your working.

Answers

The answer is 8520 pounds and I wrote the solution here , I hope that helps you and best of wishes!!

Answer:

£8520

Step-by-step explanation:

1 Bahraini dinar = £2.13

Multiply both sides of the equation by 4000.

4000 * 1 Bahraini dinar = 4000 * £2.13

4000 Bahraini dinar = £8520

Find the area of the following circle.
plz I need this fast!

------11m------


379.94 m 2

34.54 m 2

94.985 m 2

17.27 m 2

Answers

Answer:

[tex]A=379.94\ m^2[/tex]

Step-by-step explanation:

Given that,

The radius of a circl is 11 m

We need to find the area of the circle. The forcemula for the area of a crcle is given by :

[tex]A=\pi r^2[/tex]

Put all the values,

[tex]A=3.14\cdot11^{2}\\A= 379.94\ m^2[/tex]

So, the area of the circle is equal to [tex]379.94\ m^2[/tex].

Answer:94.985 m 2

Step-by-step explanation:

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