Determine the equation of the circle graphed below.
10
-10 -8 -6
-4
-2
8
6
4
N
N
+
69
O
2
6
8 10

Determine The Equation Of The Circle Graphed Below.10-10 -8 -6-4-2864NN+69O268 10

Answers

Answer 1

Answer:

[tex]\implies x^2+y^2-4x -6y+9=0[/tex]

Step-by-step explanation:

Circle is touching y-axis at point (0, 3) and is centered at (2, 3)

-> h = 2, k = 3 & r = 2 units (If a circle touches y -axis then x coordinate of the center will be it's radius)

Equation of circle in standard form is given as:

[tex](x-h)^2 +(y-k)^2 =r^2[/tex]

Plugging the values of h, k and r in the above equation, we find:

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

[tex]\implies x^2-4x +4+y^2-6y+9=4[/tex]

[tex]\implies x^2+y^2-4x -6y+4+9=4[/tex]

[tex]\implies x^2+y^2-4x -6y+9=0[/tex]

This is the required equation of the circle.


Related Questions


A rectangular swimming pool is 17 meters long, 14 1/2 meters wide, and 5 1/2 meters deep. What is its
volume?

Answers

Answer:

1355.75 m

Step-by-step explanation:

Volume of a rectangle = length x breadth x height

Volume of recatngular swimming pool = 17 x 14.5 x 5.5

volume of rectangular swimming pool = 1355.75 m

When three squares are joined at their vertices to form a right triangle, the combined area of the two smaller
squares is equal to the area of the largest square. Which three squares support this statement?
5 cm
3 cm

Answers

Answer:

Top right (one what has 16cm^2 and 9cm^2)

Step-by-step explanation:

The one in the top right and even though I cannot see what the area is of the biggest square, I can tell what it should be the two smaller squares combined

Hope this helps :)

Eleven more than three times a number is at most 62

Answers

Answer:

11-3×62=496

Step-by-step explanation:

by getting 8 by subtracting 11 and 3 yoy can do this

[tex]62[/tex]

[tex] \times 8[/tex]

The number is 17 and less and the inequality is 3x + 11 ≤ 62

Given,

Eleven more than three times a number is at most 62

We need to find the number and the inequality.

What are the inequalities?

< mean less than

> means greater than

≤ means less than or greater than

≥ means greater than or equal to

Find the meaning of the statement.

more than means adding

times means multiply

At most 62 means the maximum is 62 and we use ≤ 62.

Find the expression.

Eleven more than three times a number is at most 62

Let x be the number.

3x + 11 ≤ 62

Find x value.

3x + 11 ≤ 62

3x + 11  62

3x ≤ 62 - 11

3x ≤ 51

x ≤ 51/3

x ≤ 17

Thus the number must be 17 and less and the inequality is 3x + 11 ≤ 62

Learn more about how to solve an inequality here:

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A line with a slope of 4 passes through (6,11). Complete the equation of this line in point-slope form.

Answers

First we plug in the x, y and slope to the slope int formula:

11= 4*6+b

Solve for b

11=16+b

B= -5

Answer in slope int form:

Y=4x-5

Answer in point slope form:

y- -1=4(x-1)

Or

Y+1=4(x-1)

Answer:

y – 11 = 4 (x-6)

Step-by-step explanation:

ttm

An arithmetic sequence is given by 20, 17, 14, 11, ...
(a) Write down the value of the common difference, d.

(b) Find a100

(c) Find s100

Answers

 Answer:

The common difference equals:

[tex]-3[/tex]

The sum of the sequence equals:

[tex]62[/tex]

The explicit formula of this sequence is:

[tex]a_n=20+(n-1)*(-3)[/tex]

The recursive formula of this sequence is:

[tex]a_n=a_((n-1))-3[/tex]

The nth terms:

[tex]20,17,14,11,8,5,2...[/tex]

Step-by-step explanation:

An arithmetic sequence, or arithmetic progression, is a set of numbers in which the difference between consecutive terms (terms that come after one another) is constant. This difference is called the common difference.

1. Find the common difference.

Find the common difference by subtracting any term in the sequence from the term that comes after it.

[tex]a_2-a_1=17-20=-3\\a_3-a_2=14-17=-3\\a_4-a_3=11-14=-3[/tex]

The difference of the sequence is constant and equals the difference between two consecutive terms.

[tex]d=-3[/tex]

2. Find the sum.

Calculate the sum of the sequence using the sum formula:

Formula

[tex]Sum=\frac{(n(a_1+a_n))}{2}[/tex]

Plug in terms

[tex]Sum=(4*(a_1+a_n))/2[/tex]

[tex]Sum=(4*(20+a_n))/2[/tex]

[tex]Sum=(4*(20+11))/2[/tex]

Simplify the expression

[tex]Sum=(4*(20+11))/2[/tex]

[tex]Sum=(4*31)/2[/tex]

[tex]Sum=124/2[/tex]

[tex]Sum=62[/tex]

The sum of this sequence is [tex]62[/tex].

This series corresponds to the following straight line [tex]y=-3x+20[/tex]

3. Find the explicit form.

The formula for expressing arithmetic sequences in their explicit form is:

Formula: [tex]a_n=a_1+(n-1)*d[/tex]

Plug in the terms.

[tex]a_1=20[/tex] (this is the 1st term)

[tex]d=-3[/tex] (this is the common difference)

[tex]a_n[/tex]  (this is the nth term)

[tex]n[/tex] (this is the term position)

The explicit form of this arithmetic sequence is:

[tex]a_n=20+(n-1)*(-3)[/tex]

4. Find the recursive form.

The formula for expressing arithmetic sequences in their recursive form is:

Formula: [tex]a_n=a_((1-n))+d[/tex]

Plug in the d term.

[tex]d=-3[/tex](this is the common difference)

The recursive form of this arithmetic sequence is:

[tex]a_n=a_((n-1))-3[/tex]

5. Find the nth element.

[tex]a_1=a_1+(n-1)*d=20+(1-1)*-3=20[/tex]

[tex]a_2=a_1+(n-1)*d=20+(2-1)*-3=17[/tex]

[tex]a_3=a_1+(n-1)*d=20+(3-1)*-3=14[/tex]

[tex]a_4=a_1+(n-1)*d=20+(4-1)*-3=11[/tex]

[tex]a_5=a_1+(n-1)*d=20+(5-1)*-3=8[/tex]

[tex]a_6=a_1+(n-1)*d=20+(6-1)*-3=5[/tex]

[tex]a_7=a_1+(n-1)*d=20+(7-1)*-3=2[/tex]

Terms and topics:

Artithmetic Sequences

Aida bought a flower rug for her bedroom, as shown below.


Note: Figure is not drawn to scale

If a = 12 in, which of the following is closest to the area of the rug?
A.
298.08 in2
B.
257.04 in2
C.
334.08 in2
D.
370.08 in2

Answers

I think b but I’m not 100 percent sure I’m right

Can someone please help me with this one? Thanks!

Answers

The cones volume is 207.24cm but the weird thing is when you try to convert the cubes. I got 69.08 cubes but I don't know if that is correct. Have a nice day!

A cuboid has volume of 120cm.
The area of the base of the cuboid is 30cm?
Work out the surface area of the cuboid.

Answers

Answer:

already answered

Step-by-step explanation:

go to this

https://brainly.in/question/16866439

You have a combination lock with 3 secret digits. Find the 3 correct digits using the following clues and enter your answer below. 128 One digit is right and in its place 157 One digit is right, but in the wrong place Two digits are right but both are in the 8 41 wrong place 362 All digits are wrong 62 4 One digit is right, but in the wrong place din​

Answers

Answer:

184

Step-by-step explanation:

in the number 128 the number eight is right it should be to the right then in the number157 one is right it should be to the left in 841 8and 1 are in the wrong position 8 - right 1 - left then in the number 624 the number 4 is right but in the wrong position it should be in the middle the answer is digit 1,8,4

The 3 secret digit numbers are 4, 7, and 8. Then the combination lock with 3 secret digits is 478.

What are permutation and combination?

A permutation is an act of arranging the objects or elements in order. Combinations are the way of selecting objects or elements from a group of objects or collections, in such a way the order of the objects does not matter.

You have a combination lock with 3 secret digits.

362 All digits are wrong then 3, 6, and 2 should not be there.

624 One digit is right but in the wrong place. Then 4 digit is right.

841 Two digits are right but both are in the wrong place. Then the place of 4 should be first.

128 One digit is right and in its place. Then the first place is occupied by 4 so 1 is incorrect. Then the third digit is 8.

157 One digit is right but in the wrong place. Then in the second place, the wrong digit is there then there is 7 in the second place.

The combination lock with 3 secret digits is 478.

More about the permutation and the combination link is given below.

https://brainly.com/question/11732255

PLEASE HELP ASAP!!!

Answers

Answer:

V = 54π or V = 169.56 units³

Step-by-step explanation:

The volume of a cylinder is given by the formula:

V = πr²h

If we use 3.14 as pi we get this:

V = (3.14)×(3)²×(6)

V = 3.14×9×6

V = 3.14×54

V = 169.56

Since it is volume the units will be units³

So our final answer is 169.56 units³

If you wanted an exact in pi form you would do the same steps but not simplify pi:

V = πr²h

V = π×(3)²×6

V = π×9×6

V = 54π

Nadya bakes 20 cookies every half hour. Vasil sells 38 cookies per hour. How many cookies are left unsold if they work from 6:00 am till noon.

Answers

Answer:

12

Step-by-step explanation:

20*2= 40 cookies per hour,

she is working 6 hours so she sells 240 cookies total

240-(38*6) = 12

Nadya bakes 20 cookies every half hour. Vasil sells 38 cookies per hour. 12 cookies that are left unsold and if they work from 6:00 am till noon.

What is the unitary method?

The unitary method is a method for solving a problem by the first value of a single unit and then finding the value by multiplying the single value.

Nadya bakes 20 cookies every half hour. Vasil sells 38 cookies per hour.

We need to find many cookies that are left unsold and if they work from 6:00 am till noon.

20 x 2= 40 cookies per hour,

she is working 6 hours so she sells 240 cookies

The total

= 240 - (38 x 6)

= 12

Learn more about the unitary method;

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What number am I?
Elmo wants his answer please

Answers

Answer:

8

Step-by-step explanation:

Im not sure but i think it might be correct.

Answer:

8

Step-by-step explanation:

I ONLY GOT 1 MIN!!!! PER QUESTION HELP

Chase wrote this description.



I saw a four sided figure. It had one pair of congruent sides that were not parallel. It also had one pair of parallel lines.



What shape has Chase described?

a parallelogram
a rhombus
a trapezoid
a kite

Answers

Answer:

options c

trapezoid

saw a four sided figure. It had one pair of congruent sides that were not parallel. It also had one pair of parallel lines.

saw a four sided figure. It had one pair of congruent sides that were not parallel. It also had one pair of parallel lines.What shape has Chase described?

trapezoid

Help I’m literally confused on these

Perpendicular Bisector Theorem

Answers

Answer:

UV = 10

Step-by-step explanation:

VX is a perpendicular bisector of the base UW , then Δ UVW is isosceles with the 2 legs being congruent , that is

UV = VW = 10

Romeo has a work that pays 100 pesos per 1 hour. How much would he make in 10 hours?

Answers

Answer: he would get 1000

Step-by-step explanation:

100 x 10 =1000

Answer:

$1,000

Step-by-step explanation:

Since he makes 100 pesos in 1 hour, all you have to do is multiply 100 by 10. When multiplying a number by 10, all you do is move the decimal point back one. In this case, our decimal point is imaginary, so when we move it back one, you just add a zero at the end of the number. That gives you 1000.

Look at the figure.what is another way of naming line M

Answers

Answer:

Another way of saying line M is to say Line X or Y

please help!!! I need this and I also don't understand ​​

Answers

Answer:

Step-by-step explanation:

(i)

PQRS is a parallelogram (given)

      ∴ QT = TS (Diagonals of a parallelogram bisects each other)

also,   QT = RM (given)

      ∴TS = RM

PQRS is a parallelogram,

     ∴RT = PT (Diagonals of a parallelogram bisects each other)

also, SM = PT (given)

    ∴RT = SM

TS = RM

RT = SM

∴ RTSM is a parallelogram (both pairs of opposite sides are equal in length)

(ii)

QP // RS (Opposite sides of a parallelogram are parallel)

∴ ∡RQP = ∡NRS (Corresponding ∡s)

RTSM is a parallelogram(Proved above)

∴MS // RT (Opposite sides of a parallelogram are parallel)

∴NS//RP

∴∡RNS = ∡ QRP (Corresponding ∡s)

in ΔPQR and Δ NSR,

QP = RS (Opposite sides of a parallelogram are equal)

∡RQP = ∡NRS (Proved above)

∡RNS = ∡ QRP(Proved above)

∴ ΔPQR≡ΔSRN (AAS)

Corresponding sides of ≡ Δs are equal, ∴QR = RN

if 0.002 is rewritten as 2 x 10x what is the value of x

Answers

Answer:

0.0001

Step-by-step explanation:

2 x 10 x 0.0001 equals 0.0002. If you want confirmation do on a calculator

Answer:

10,000

Step-by-step explanation:

you move the decimal point 3 places to the right to end up with 2 so add as many zeros as many times you moved the decimal point from the 0.002.

Which of the following proves these triangles are congruent

Answers

Answer:

ASA

Step-by-step explanation:

ASA rule states that: If two angles and a non-included side of one triangle are equal to two angles and a non-included side of another triangle, then the triangles are congruent.

The image below shows the answer/explanation⬇️

Please help only 2 questions please!! >_<.

Answers

Answer:

Edit:

7. Linear because the graph is a straight line with an x and y variable

8. Non-linear because the graph is not a straight line

Sorry for the confusion with my previous answer! I hope this helps!

The lengths of two sides of a triangle are 4 inches and 7 inches. What is a possible length, in inches, of the third side?

Answers

Answer:

well if im wrong then sorry but i think its 11 !!

Step-by-step explanation:

The possible length of the third side should be greater than 11.

What is triangle?

A triangle is a polygon with three sides having three vertices. The angle formed inside the triangle is equal to 180 degrees. It means that the sum of the interior angles of a triangle is equal to 180°.

Given that the lengths of two sides of a triangle are 4 inches and 7 inches.

We need to find the possible length of the third side,

So, according to the triangle inequality theorem,

For any given triangle, the sum of two sides of a triangle is always greater than the third side.

So, the sum of two sides = 4 + 7 = 11


Hence the possible length of the third side should be greater than 11.

Learn more about triangles click;

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Which quadratic function in vertex form has a vertex at (-2, 5) And passes through the point (2, -3)?

Answers

Answer:graph{-19/9(x+3)^2+5 [-10, 2, -20, 10]}

Step-by-step explanation:

y

=

19

9

(

x

+

3

)

2

+

5

Explanation:

If an equation representing a parabola is in vertex form such as

y

=

a

(

x

k

)

2

+

h

then its vertex will be at

(

k

,

h

)

. Therefore the equation for a parabola with a vertex at (-3, 5), will have the general form

y

=

a

(

x

+

3

)

2

+

5

If this parabola also passes through the point

(

0

,

14

)

then we can determine the

a

parameter.

14

=

a

(

0

+

3

)

2

+

5

9

a

=

19

a

=

19

9

So our equation in vertex form is

y

=

19

9

(

x

+

3

)

2

+

5

graph{-19/9(x+3)^2+5 [-10, 2, -20, 10]}

Antonio purchased a bin with the following measurements the diameter is 21 inches and the height is 36 inches. Solve terms of pi.

Answers

I don’t know ask your teacher about it they mast know that

Help please!!! :')

Given a diameter of a circle at endpoints (8,-7) and (4,5), algebraically find the equation of the circle.

thank you smm <3

Answers

Answer:

(x-6)^2 + (y+1)^2=40

Step-by-step explanation:

see image. Use Midpoint Formula to find the center. Then use Distance Formula to find the diameter. Cut the diameter in half to find the radius. Use the circle formula to insert (h,k) the center and r, the radius to find the equation. See image.

Answer:  [tex](x - 6)^2 + (y + 1)^2 = 40[/tex]

=========================================================

Explanation:

The x coordinates of the given endpoints are x = 8 and x = 4. Apply the midpoint to them to get [tex]\frac{x_1+x_2}{2} = \frac{8+4}{2} = \frac{12}{2} = 6[/tex] which is the x coordinate of the midpoint. I added them up and divided by 2.

Similar steps will have the y coordinate of the midpoint be

[tex]\frac{y_1+y_2}{2} = \frac{-7+5}{2} = \frac{-2}{2} = -1[/tex]

Overall, the midpoint of those given points is (6, -1)

This is the center of the circle because the two endpoints are part of a diameter.

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

Now turn to the template

[tex](x - h)^2 + (y -k )^2 = r^2[/tex]

We will plug in the center (h,k) = (6, -1) and one of the endpoints for (x,y). Let's say we go for (x,y) = (4,5)

This leads us to the following:

[tex](x - h)^2 + (y -k )^2 = r^2\\\\(4 - 6)^2 + (5 - (-1) )^2 = r^2\\\\(4 - 6)^2 + (5 + 1 )^2 = r^2\\\\(-2)^2 + (6 )^2 = r^2\\\\4 + 36 = r^2\\\\r^2 = 40\\\\[/tex]

We don't need to isolate r itself. If you wanted, you could take the square root of both sides to see that the radius is [tex]r = \sqrt{40} \approx 6.3246[/tex]. However, again we don't need to solve for r entirely when forming the circle's equation.

With that [tex]r^2[/tex] value in mind, and the h & k values as well, we go from this template

[tex](x - h)^2 + (y -k )^2 = r^2[/tex]

to this final answer

[tex](x - 6)^2 + (y + 1)^2 = 40[/tex]

What is the correct answer?​

Answers

Answer:

B

Step-by-step explanation:

When multiplying exponents with the same base, you add the powers together.

In B, that is exactly what they are showing when they do:

[tex]2^{\frac{1}{4}+\frac{1}{4}+\frac{1}{4}+\frac{1}{4}}[/tex]

A vase has 4 yellow flowers, 4 red flowers, and 8 blue flowers. Donna took a flower smelled it and put it back ,then took another flower and smelled it. What is the probability that the first flower was red and the second flower was blue?

Answers

Answer:

1/8

Step-by-step explanation:

Since the flower was replaced, these two drawings are independent events and the final probability is the product of the two individual probabilities.

total number of flowers: 16

yellow: 4

red: 4

blue: 8

p(red) = 4/16 = 1/4

p(blue) = 8/16 = 1/2

p(red then blue) = 1/4 × 1/2 = 1/8

Answer: 1/8

Peter graphed two points given below on a coordinate plane.
(-6, 4), (3, 4)
What is the distance between the points?

Answers

Answer:

9

Step-by-step explanation:

Because the y-coordinates are the same but the x-coordinates are different so -6 to 3 would be 9 because -6 to 0 is 6 and 0 to 3 is 3 and 3 + 6 equals 9

Answer:

distance: 9 units

Explanation:

[tex]\sf distance \ between \ points \ : \ \sqrt{(y_2-y_1)^2+(x_2-x_1)^2}[/tex]

Here coordinates : (-6, 4), (3, 4)

substitute the following values and put into the equation

[tex]\sf \rightarrow \sqrt{(4-4)^2+(3-(-6))^2}[/tex]

[tex]\sf \rightarrow \sqrt{(3+6)^2}[/tex]

[tex]\sf \rightarrow \sqrt{81}[/tex]

[tex]\sf \rightarrow 9[/tex]

Which expression is equivalent to 4+w+12w

Answers

Answer:

13w+4 or 4+13w

Step-by-step explanation:

w is the same as one then it will be 4+w(1)+12w =12w+w(1)=13w

4 over here does not have friend therefore it renains to be 4 =13w+ 4

What is the equation of the line that passes through the point (4,-6) and has a slope of -5/2?


Please I’m desperate I already tried and it was wrong I’ll mark Brainlist

Answers

Answer:

y = (-5/2)X + 4

Step-by-step explanation:

we know that the equation of a line is y = mx + b

m = -5/2

so

y = -5/2x + b

to find b:

-6 = -10 + b

b = 4

so

y = (-5/2)X + 4

Answer:

Use the point-slope form of a linear equation:

[tex]y-y_1=m(x-x_1)[/tex]

where:

[tex]m[/tex] = slope[tex](x_1,y_1)[/tex] = point on line

Given:

[tex]m=-\dfrac52[/tex][tex](x_1,y_1)=(4,-6)[/tex]

Substitute given information into the equation:

[tex]\implies y-y_1=m(x-x_1)[/tex]

[tex]\implies y-(-6)=-\dfrac52(x-4)[/tex]

[tex]\implies y+6=-\dfrac52x+10[/tex]

[tex]\implies y=-\dfrac52x+4[/tex]

Therefore, the equation of the line in different formats is:

[tex]\textsf{slope-intercept form: }y=-\dfrac52x+4[/tex]

[tex]\textsf{standard form: }5x+2y=8[/tex]

HELPPP WHATS THE PERMITER

Answers

Answer:

48 is the perimeter

Step-by-step explanation:

I gotchu

The perimeter would be 42in
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