the x and y axis are tangent to a circle with radius 3 units. write a standard equation of the circle.

Answers

Answer 1

Given:

The x and y axis are tangent to a circle with radius 3 units.

To find:

The standard form of the circle.

Solution:

It is given that the radius of the circle is 3 units and x and y axis are tangent to the circle.

We know that the radius of the circle are perpendicular to the tangent at the point of tangency.

It means center of the circle is 3 units from the y-axis and 3 units from the x-axis. So, the center of the circle is (3,3).

The standard form of a circle is:

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

Where, (h,k) is the center of the circle and r is the radius of the circle.

Putting [tex]h=3,k=3,r=3[/tex], we get

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

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

Therefore, the standard form of the given circle is [tex](x-3)^2+(y-3)^2=9[/tex].


Related Questions

The radius of a baseball is approximately 2.5 inches. What is its volume?

Answers

Answer:Below

Step-by-step explanation:

A baseball is round.

So, the diameter and the height are the same.

The radius is half of the diameter, so: 2.5 x 2 = 5

The height is also 5.

The Volume is 65.45

Answer:

Step-by-step explanation:

The Volume is 65.45

uhh I don't really understand this problem, so I would like to know how to do it

Answers

Answer:

( C ) 428.1 ft²

Step-by-step explanation:

Alright, we know the surface area of a shape is the area the entire outside covers. So, we just need to find the areas of each side and add them together.

Let's start with the two rectangular sides. The dimensions of both of these are 10×12. The area of rectangles can be calculated by multiplying the length and width, so let's do that. Then, we will multiply this answer by two, so we have the areas of both rectangles.

10 · 12 = 120

120 · 2 = 240

The area of the two rectangular sides is 240 ft². We have 3 sides left to solve for.

Next, we will find the area of the triangular sides. Again, we will multiply the answer by two so we have the area of both. The area of the triangle can be found by multiplying [tex]\frac{1}{2}[/tex] the width by the height.

4.5 · 8.9 = 40.05

Multiply this by two for the area of both sides.

40.05 · 2 = 80.1

The area of the triangle sides is 80.1 ft².

The last side is also a rectangle, with the dimensions 9×12.

9 · 12 = 108

The bottom side has an area of 108 ft².

Now, we can add the areas together.

240 + 80.1 + 108 = 428.1

The surface area of the shape is 428.1 ft². The answer is C.

I hope this helps ^^

Good luck :)

Which of the following is always true about lines of symmetry?

A line of symmetry divides a shape into two equal parts.
A line of symmetry is a vertical line through the middle of a figure.
A figure can have only one line of symmetry.
A line of symmetry goes through opposite vertices of a figure.

Answers

1 2 and 4. it won’t let my answer be that short

what are the factors of 64 that have a sum of 16

Answers

Anwnser 8

Step-by-step explanation:

2,4,6,8,32

ONLY A MASTERMIND CAN SOLVE
What numbers are:
NATA
u
nde
Blo
NEUE
9
We
Each color is a
different digit
eren​

Answers

Answer:

The number printed in red color = 5

The number printed in silver color = 8

The number printed in blue color = 1

Step-by-step explanation:

P.S - The exact question -

Given - The diagram

To find - The number that represent Red, Silver and Blue color.

Proof -

Let the number printed in red color = r

Let the number printed in silver color = s

Let the number printed in blue color = b

Also,

Given that the equation is -

  b s r

  b s r

+ b s r

= r  r  r

Now,

We have to think of a number that if we add the last digit of the number gives the same last digit.

Bt inspection ,

the number would be 5

Because 5 + 5 + 5 = 15

Lat place of the equation is same

So,

The number printed on red color = 5

⇒r = 5

So, the equation becomes

  b s 5

  b s 5

+ b s 5

= 5  5  5

Now,

We have to think of a number whose last digit add up to 3  + 1 gives the last digit number 5 ( we add 1 because by adding 5 + 5 + 5 , we get 15 so we write the last digit 5 and 1 goes to the remainder and that remainder 1 will add up in the next number addition)(addition rule)

i.e.

s + s + s + 1 = number whose end digit is 5

By inspection,

The number would be 8

because 8 + 8 + 8 + 1 = 25

So,

we get

s = 8

So, the equation becomes

  b  8  5

  b  8  5

+ b  8  5

= 5  5  5

Now,

By same process , we will find the number of blue color

By inspection the number on blue color = 1

∴ we get

The number printed in red color = 5

The number printed in silver color = 8

The number printed in blue color = 1

and the equation is -

  1  8  5

  1  8  5

+ 1  8  5

= 5  5  5

plzzzz hurry ill mark you brainly

Answers

Answer:

1: z = 4.

2: y= 6.

3: w= 13.

4: a= 36.

Please like and mark brainliest!

Hope it helps!

Answer: Z is equal to 4, for the first one. The second one is Y equals 6. The 3rd one is W equals 13. The fourth and final one is A equals 36.

Step-by-step explanation:

Long Explanatio, but I gave the answers.

The equation of a circle centered at the orgin is x^2 + y^2 = 16. What is the radius of the circle

Answers

Given:

The equation of the circle is:

[tex]x^2+y^2=16[/tex]

To find:

The radius of the circle.

Solution:

The standard form of a circle is:

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

Where, (h,k) is the center and r is the radius.

We have,

[tex]x^2+y^2=16[/tex]

In can be written as:

[tex]x^2+y^2=4^2[/tex]                 ...(ii)

On comparing (i) and (ii), we get

[tex]h=0[/tex]

[tex]k=0[/tex]

[tex]r=4[/tex]

Here, the center of the circle is the origin and the radius is equal to 4 units.

Therefore, the radius of the given circle is 4 units.

Please please help please ASAP ASAP please ASAP

Answers

Answer:

Volume = 0.5 x bas x area x hight( do this to find the volume)

LA = Use power rule which is "use to differentiate expressions". d/dL [L^n] = nL^n-1. A add all areas of the faces

SA = To find SA  do bh + 2ls + lb

Hope this helps you find your answer!

Find the surface area of the prism please help fast

Answers

Answer:

17.6 squared feet

Step-by-step explanation:

triangle is 0.5 X b X h

0.5 X 1 X 2 = 1 squared foot.

(there are two triangles) 1 X 2 = 2 squared foot

rectangle sides

2.2 X 3 = 6.6

1 X 3 = 3

2 X 3 = 6

add them altogether

2 + 6.6 + 3 + 6 = 17.6

For brainiest :):):):):):)):):):)

Answers

Answer:

9) 0.46

10) 0.666

11) 18%

12) 2.3%

13) 0.7/ 70%

14) 0.56/ 56%

15) 0.0035/ 0.35%

16) 1.13/113%

Step-by-step explanation:

State the best term for the given figure in the diagram
1.) F
2.) FE
B
13.) HG
4.) DB
5.) C
6.) BE
7.) DB
8.) AG
Note: Be able to define and draw a picture all all terms used in Chapter 10
In questions 9-10, BC is a radius of OC and AB is a tangent to OC.
Find the value of x
9.)
10.)
96
100
32
Q
56
The points K and M are points of tangency. Find the value(s) of x
11.)
12.)
K
K
3x - 10
4x + 7
.L
17
7x - 8
M M
Page
1 / 5
- +

Answers

Answer:

i dont understand what the question means

Step-by-step explanation:

96 is 32% of what number

Answers

Answer:

300

Step-by-step explanation:

32x = 96 x 100

32x = 9600

9600 divided by 32 = 300

hope it helped

During a 12-hour period, the temperature dropped 48°. How many degrees did the temperature drop each hour?
1) -576 degrees
2) 4 degrees
3) 576 degrees
4) -4 degrees

Answers

Answer:

4degree

Step-by-step explanation:

Just divide 48 by 12 so as to get the temperature dropped in each hour

36 + (12 - 8) + 2 × 5​

Answers

Answer:

50

Step-by-step explanation:

To answer this we need to use the PEMDAS strategy, first solve any questions in parentheses, next solve all multiplication and division problems from left to right. Next, solve all addition and subtraction problems from left to right.

36 + (12 - 8) + 2 × 5​

36 + 4 + 2 x 5

36 + 4 + 10

40 + 10

50

Answer:

[tex]50[/tex]

Step-by-step explanation:

Follow the PEMDAS order of operations:

Parentheses

Exponents

Multiplication

Division

Addition

Subtraction.

Calculate the Parentheses- (12-8)

This will equal 4.

[tex]36+4+2x5[/tex]

(x= times)

Multiply and divide, left to right.

[tex]2x5=10[/tex]

[tex]36+4+10=50[/tex]

Sigi cut a 4.4 m strip of wallpaper border into four pieces the first piece was 92 cm long and the second piece was 154 m long the third piece was one 890 mm long how many centimeters long with the remaining piece

Answers

Answer:

257.46

Step-by-step explanation:

1 mm = 0.1cm

"-2=2" what does this mean

Answers

Step-by-step explanation:

i think it means that when negative tow crosses the equal sign, as in a calculation,it becomes positive

eg. -2 +z=0

z =2

Answer:

Negative two is equal to negative two

Step-by-step explanation:

Kinda confused as to why you do not understand that expression...

2. At Best Buy, two flash drives and one new mouse for your
computer cost $55.00. How much does one flash drive cost?
(Mouse cost 22.00)

Answers

Answer:

I believe one flash drive would cost $16.50.

Step-by-step explanation:

55=2x+22

-22       -22

33=2x

/2    /2

16.50=x

Hope this helps! Have an Amazing day!!

A shoe store donated a percent of every sale to charity. a the total sales were $9,800 so the store donated $588. What percent of $9,800 was donated to charity?

Answers

Answer:

They donated 6%.

Step-by-step explanation:

The total sales were $9800.

The amount donated is $588.

We want to know what percent of 9800 is 588.

Let's make an equation.

what percent of 9800 is 588

x/100 • 9800 = 588

Divide by 9800.

x/100 = 0.06

Multiply by 100.

x = 6

They donated 6%.

Hope this helps!

In a survey of 292 students, about 9.9% have attended more than one play. Which
is closest to the number of students in the survey who have attended more than one
play?
3 students
10 students
20 students
30 students
Witch one

Answers

Answer:

30

Step-by-step explanation:

So we know that there are 292 people and 9.9% attended one play so you just find 10% of 300(approximated) which is the same thing as 30.

Answer:

Step-by-step explanation:

Fill in the missing operator where the blank is.
18 _ (-20)= -2

Answers

The answer is positive 1

Answer:

26

Step-by-step explanation:

plz follow me

y9yedyoyohoxzg

.
Part A
When flipping a penny, what is the theoretical probability of landing on heads? What is the theoretical probability of landing on tails?

Answers

Answer:

Theoretically, since it has two sides, it's a 50 50, chance. 50%

What equation can be used to solve for x

Answers

60Step-by-step explanation:

I need help whats dose d = ? 41 = 21d - 7

Answers

Answer:

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

Step-by-step explanation:

We have: [tex]41 = 21d - 7[/tex]. We add 7, to get rid of the 7, to the other side. [tex]41+7=21d. \\41+7=48.\\48=21d.[/tex]

41÷21, is[tex]\frac{16}{7}[/tex]

Answer:

4

Step-by-step explanation:

A computer originally priced at $850 is on sale for 15% off. What is the sale price of the computer?

Answers

Answer:

Sale price:  $722.50

Step-by-step explanation:

Subtract 15% from 100%, obtaining 85%.  The computer is sold for 85% off.

Converting this 85% to a mixed decimal, we get 0.85, and then we multiply the original price ($850) by this 0.85:  0.85($850) = $722.50

Help? I need the right answers.

Answers

Answer:

Horizontal line of symmetry

Vertical line of symmetry

Rotational symmetry

Diagonal line of symmetry  

Step-by-step explanation:

The diameter of a human hair is about 0.00067 inches in length. How is this length
expressed in sclentific notation?

A 6.7 x 10 4in.

B 67 x 10 4 In.

C 6.7 x 10-4 in.

D 67 x 10-4 in.

Answers

Answer:

C

Step-by-step explanation:

All numbers in scientific notation or standard form are written in the form m × 10n, where m is a number between 1 and 10 ( 1 ≤ |m| < 10 ) and the exponent n is a positive or negative integer.

Therefore, the decimal number 0.00067 written in scientific notation is 6.7 × 10-4.

10
11 5(2x + 1) + c(x + d) = 12x - 1
Work out the value of c and the value of d.

Answers

Answer:

c = 2, d = - 3

Step-by-step explanation:

Expand and simplify the left side then compare the coefficients of like terms on both sides.

5(2x + 1) + c(x + d) ← distribute parenthesis

10x + 5 + cx + cd

= x(10 + c) + 5 + cd

Compare like terms on both sides, that is

10 + c = 12 ( subtract 10 from both sides )

c = 2

Then

5 + cd = 5 + 2d and

5 + 2d = - 1 ( subtract 5 from both sides )

2d = - 6 ( divide both sides by 2 )

d = - 3

CAN U HELP ASAP ILL GIVE 15 POINTS AND PROLLY BRAINLIEST IT

Answers

Answer:

(2, 8)  and (3, 11)    --- > For example

Step-by-step explanation:

Plug in any number for x

I will use 2.

So if the equation is y = 3x + 2, then the new equation will be ...

y = 3(2) + 2

y = 6 + 2

y = 8     ----> One coordinate can be (2, 8)

Another number you could use is 3.

y = 3(3) + 2

y = 9 + 2

y = 11    ----> Another coordinate may be (3, 11)

I’ve inserted a picture below. Hope this helps!

Solve the system by substitution.
-2x – 4y = -18
x=y

Answers

Hope this help you with this problem!

Find all solutions of the equation in the interval [0, 2pi)
cosx (2 sinx+1)=0

Answers

Answer:

x = pi/2 and 11pi/6

Step-by-step explanation:

Given the trigonometry expression

cosx (2 sinx+1)=0

This can be written in two forms as;

cosx  = 0 and 2sinx + 1 =  0

If cos x  = 0

x = arccos0

x = 90degrees

x = pi/2

Similarly

2sinx  + 1 = 0

2sinx = -1

sinx = -1/2

sinx  =-0.5

x = aarcsin(-0.5)

x = -30

Since sin is negative in the third and 4th quadrant

x = 270 + 30

x = 330degrees

x = 330pi/180

x = 11pi/6

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