What is the radius of the circle with equation (x+1/5)^2+(y-2/5)^2=1/25

Answers

Answer 1

Answer:

r = [tex]\frac{1}{5}[/tex]

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

(x + [tex]\frac{1}{5}[/tex] )² + (y - [tex]\frac{2}{5}[/tex] )² = [tex]\frac{1}{25}[/tex] ← is in standard form

with r² = [tex]\frac{1}{25}[/tex] , then

r = [tex]\sqrt{\frac{1}{25} }[/tex] = [tex]\frac{1}{5}[/tex]

Answer 2

The radius of the circle is, r = 1/5 units.

What is equation of circle?

An equation of circle with center (h, k) and radius 'r' is,

(x - h)²+(y - k)² = r²

For given example,

the equation of the circle is, (x+1/5)^2+(y-2/5)^2=1/25

By comparing with standard equation of circle (x - h)²+(y - k)² = r²,

we have h = -1/5, k = 2/5 and r² = 1/25

We need to find the radius of the circle,

r² = 1/25

By taking square-root,

we have r = 1/5 units

Therefore, the radius of the circle is r = 1/5 units.

Learn more about equation of circle here:

https://brainly.com/question/10618691

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Related Questions

The actual distance between Kalamazoo and Ann Arbor is miles.

Answers

Distance between Kalamazoo and Ann Arbor is 152 kilometers (94 miles).

Answer:

Distance between Kalamazoo and Ann Arbor is 152 kilometers (94 miles).

1 hr 36 min (98.3 mi)

Step-by-step explanation:

what is the equation of the line that passes through the points (4,3) and (6, 2)?​

Answers

Answer:

y = -1/2 x + 5

Step-by-step explanation:

1) y = mx + b

2) m is the slope and b is the y-intercept

3) For lines like these, the slope is always defined as "the change in y over the change in x" or, in equation form: m = y2 - y1 / x2 - x1

4) Also, let's call the second point you gave, (6,2), point #2, so the x and y numbers here will be called x2 and y2. Or, x2=6 and y2=2.

5) Now, just plug the numbers into the formula for m above, like this: m = -1/2

6) So, we have the first piece to finding the equation of this line, and we can fill it into y=mx+b like this: y = -1/2 x + b

7) To find b, think about what your (x,y) points mean:

(4,3). When x of the line is 4, y of the line must be 3.

(6,2). When x of the line is 6, y of the line must be 2.

8) You can use either (x,y) point you want..the answer will be the same:

(4,3). y=mx+b or 3=-1/2 × 4+b, or solving for b: b=3-(-1/2)(4). b=5.

(6,2). y=mx+b or 2=-1/2 × 6+b, or solving for b: b=2-(-1/2)(6). b=5.

9) So, this means that the equation of the line is y = -1/2 x + 5

Don’t have to show work

Answers

Answer:

I would say A cause I think that that is the closest answer

Step-by-step explanation:

I am so so so sorry if this is wrong I'm not that great at math myself.

what in the world does +1 represent??? thank you!

Answers

Answer:

the y intercept

so up 1 from (0,0)

how is 1848/2310=4/5

Answers

Answer:

Step-by-step explanation:

1848 / 2310 == 4 / 5 = True

Victor bought a new soccer ball. The original price was $29.99, but the ball was on sale for 15%
off. What was the sale price?

Answers

Step-by-step explanation:

100-15=85%

85% × 29.99

=$25.49

Geometry The length of a rectangle is represented by 2x + 3, and its
width is represented by 3x + 7. The perimeter of the rectangle is 35 units.
Find the value of x

Answers

Answer:

x = 1.5

Step-by-step explanation:

The perimeter of a rectangle is calculated by adding widht and height and multiply it by 2

The lenght is 2x + 3 and the width is 3x + 7

(2x + 3 + 3x + 7) *2 = 10x + 20 this is the perimeter which is given as 35 units

10x + 20 = 35 subtract 20 from both sides

10x = 15 divide both sides by 10

x = 1.5

This picture shows a rectangle with length (3D+2)cm and width (d+5)cm.
————
| |
| |
| |3d+2
| |
| |
————
D+5

A) write an expression for the perimeter of the rectangle

B) given that the perimeter is 30cm, make and solve and equation for d.

C) find the area of this rectangle



Answers

9514 1404 393

Answer:

  A)  P = 8d +14

  B)  d = 2

  C)  56 cm^2

Step-by-step explanation:

A) The perimeter is the sum of all of the side lengths.

  P = 2(L +W)

  P = 2((3d +2) +(d +5)) = 2(4d +7)

  P = 8d +14

__

B) Using 30 for P, we have ...

  30 = 8d +14

  16 = 8d . . . . . . . subtract 14

  2 = d . . . . . . . . . divide by 8

__

C) The side lengths are ...

  3d +2 = 3(2) +2 = 8 . . . . cm

  d+5 = 2+5 = 7 . . . . cm

Then the area is ...

  A = LW

  A = (8 cm)(7 cm) = 56 cm^2

The area of the rectangle is 56 square centimeters.

A game is played with the following rules. Three ordinary coins are flipped and count as a single "turn" in the game.
Each coin could land on heads or tails. After their turn a player is given a certain number of points depending on the
outcome.
•If the result is 3 heads, the player receives +4 points.
• If the result is 2 heads, the player receives +2 points.
• If the result is anything else, the player receives -1 point.
What is the expected value of the number of points a player will receive after a turn?

Answers

Answer:   0.75

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

Explanation:

H = heads

T = tails

Something like HHT means we get two heads in a row at first, followed by one tail. The order matters. Since there are 2 sides per coin, and 3 coins, this leads to 2^3 = 8 different possible ways to flip three coins.

Those 8 outcomes are:

HHHHHTHTHHTTTHHTHTTTHTTT

Again the order matters.

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

Now let's define the following events

A = event of getting three headsB = event of getting exactly two headsC = event of getting 1 head, or getting 0 heads

There's only one way to get three heads, and that's HHH. So P(A) = 1/8.

There are three ways to get exactly two heads. Those three ways are: HHT, HTH, THH. This means P(B) = 3/8.

From those two probabilities, we then know that P(C) = 4/8 = 1/2 since there are 1+3 = 4 ways to get two or more heads, leaving 8-4 = 4 ways to get the other situations.

Now let's define function notation V(A) to mean "the net value of event A occurring". It's the number of points you receive if event A happens. We are given the following info:

V(A) = 4V(B) = 2V(C) = -1

From here, multiply the probability values with their corresponding net values

P(A)*V(A) = (1/8)*(4) = 0.5P(B)*V(B) = (3/8)*(2) = 0.75P(C)*V(C) = (1/2)*(-1) = -0.5

Finally, add up those results to get the expected value: 0.5+0.75+(-0.5) = 0.75

Each time a turn happens, we expect on average to get 0.75 points

Imagine a scenario where you play the game 10,000 times. If you record the result of each turn and then compute the arithmetic mean, you should get somewhere close to 0.75; it likely wont be 0.75 exactly due to the nature of theoretical probability and empirical probability not being perfectly aligned. However, due to the law of large numbers, the two should be very close when you do a large number of trials.

Because we're dealing with averages, it is possible to get a decimal value as the answer even though the point values of events A,B,C are integers.

when donald trump got fired, was he dog water on fountain?

Answers

Answer:

he was complete dog water box like a fish  o earnings

Step-by-step explanation:

hii please help asap ill give brainliest thanks

Answers

Answer:

Step-by-step explanation: its number 3

A rectangular yard has a length of 12 meters and a width of 4 meters. Find its area.

Answers

Answer:

48m^2

Step-by-step explanation:

A=LxW=12x4=48

Which statement is true for the equation 4x - 4x - 5 = -5? (5 points)
1) It has no solution.
2) It has one solution.
3) It has two solutions.
4) It has infinitely many solutions.

Answers

Answer:

4)it has infinitely many solutions

Ross has 6 1/3 yards of material. He bought 2 1/6 more
yards. Then he used 6 5/6 yards. How many yards of material does he
have left?

Answers

Answer:

[tex]1\frac{2}{3}[/tex] yards

Step-by-step explanation:

Answer:

Ross has 1 [tex]\frac{2}{3}[/tex] yards of material left

Step-by-step explanation:

(6 [tex]\frac{1}{3}[/tex] + 2 [tex]\frac{1}{6}[/tex] ) - 6 [tex]\frac{5}{6}[/tex]

(6 [tex]\frac{2}{6}[/tex] + 2 [tex]\frac{1}{6}[/tex] ) - 6 [tex]\frac{5}{6}[/tex]

8 [tex]\frac{3}{6}[/tex] - 6 [tex]\frac{5}{6}[/tex]

7 [tex]\frac{9}{6}[/tex] - 6 [tex]\frac{5}{6}[/tex] = 1 [tex]\frac{4}{6}[/tex]

Simplify

1 [tex]\frac{2}{3}[/tex]

Question (point
Find the volume of the pure below leave in terms of IT for answers that contain T Round your answer to the nearest hundredthir
necessary
811
101
214.21 10
186,67
115.78
Od
560
Question 61 point)

Answers

Answer:

186.67 ft³

Step-by-step explanation:

Volume of a pyramid

= [tex]\frac{1}{3} [/tex] × base area × height

The volume of the pyramid

[tex] = \frac{1}{3} \times (8 \times 10) \times 7[/tex]

[tex] = \frac{1}{3} \times 80 \times 7[/tex]

[tex] = 186.666...[/tex]

= 186.67 ft³ (rounded to the nearest hundredth)

List the first three wholenumbers greater than 50 that will have a remainder of 7 when you divide by 9/ ?

Answers

Answer:

52, 61 and 70

Step-by-step explanation:

Given

[tex]Divisor = 9[/tex]

[tex]Remainder = 7[/tex]

Required

Determine first 3 possible dividends

The relationship between the [tex]dividend,\ divisor,\ quotient\ and\ remainder[/tex] is:

[tex]Dividend = Divisor * Quotient + Remainder[/tex]

Substitute: [tex]Divisor = 9[/tex] and [tex]Remainder = 7[/tex]

[tex]Dividend = 9* Quotient + 7[/tex]

Since the Dividends must be greater than 50, then the values of the quotient will be 5, 6 and 7

So, we have:

[tex]Dividend = 9* 5 + 7 = 45 + 7 = 52[/tex]

[tex]Dividend = 9* 6 + 7 = 54 + 7 = 61[/tex]

[tex]Dividend = 9* 7 + 7 = 63 + 7 = 70[/tex]

Hence, the three numbers are: 52, 61 and 70

What is the measure of the base of the triangle? The base of the triangle b has a measure of inches.​

Answers

Answer:

27

Step-by-step explanation:

Answer:   4

Step-by-step explanation:

f(x) = x ^ 4 - 6x ^ 3 + 8x ^ 2 - 21 ^ 2 the possible rational zeros

Answers

Answer:

Step-by-step explanation:

[tex]f(x)=x^4-6x^3+8x^2-21^2\\it~ is~ of ~degree~4\\so~it~has~4 ~zeros.\\now ~we~talk~about~zeros.\\we ~check ~the ~change~of~signs.\\f(x)= + - + -\\it~has~3~changes ~of~signs\\it~ has~ 1 ~or~ 3~ real~ roots.\\f(-x)=x^4+6x^3+8x^2-21^2\\f(-x)=+ + + -\\it~has~one~change~of~sign.\\so ~it~has~one~negative~real~root.\\[/tex]

we conclude that it has two or four real roots.

I will give brainly for the correct answer Pls. Also 50 Points
(a) What is 0.36 as 36 repeating expressed as a fraction in simplest form?
(b) What is 0.36 as 6 repeating expressed as a fraction in simplest form?
(c) What is 0.36 expressed as a fraction in simplest form?

Answers

Answer:

Step-by-step explanation:

A.the fraction is technically 36/99, but simplified version is 4/11

X = 0.36363636......

100x = 36.363636.....

100x - x =36.363636 - 0.363636....

99x=36

X=36/99

= 4/11

0.36363636363 is the first repeating fraction and 36.36363636 is the second repeating fraction, because you multiply it by 100.

b.0.3666 ... = 11/ 30

Explanation:

x = 0.3666 . .

(1)  10 x = 3.666 ...

(2)  100 x = 36.666 ...

(2)-(1):

100 x − 10 x = 36.666 ... − 3.666 ...

90 x = 33

x = 33/ 90 = 11/ 30

c.9/25

0.36 in the simplest form as fraction is 9/25.

Hope it helps!!!

I say it is second one all the way.

Find the least common denominator (LCD) of

Answers

Answer:

12

Step-by-step explanation:

Claudia invests £25000 at a rate of 2% per year compound interest.
Calculate the total amount of interest she will have earned after 5 years.
Give your answer correct to the nearest penny.

Answers

Answer:

27602.02

Step-by-step explanation:

Principal =  £25,000

Rate of interest = 2% per year.

Number of years = 5 years

Formula,

=> £25000 * (1 + [tex]\frac{2}{100}[/tex] )^5

=> £25000 * 1.02^5

=> £25000 * 1.1040808

=> £27602.02

Therefore, the amount = £27602.02

Rounded to the nearest penny is £27602.02

Hope it helps :)

What is the length y? Round to the nearest tenth.

Answers

Answer:

y = 5.3

Step-by-step explanation:

It is assumed XYZ is a right triangle.

y/10 = sin 32°y = 10 sin 32°y = 5.3

6. Given one of the root of the quadratic equation x^2- 5kx + k = 0 is four times the
other root, find the value of k.
k = 1/4

Answers

Answer:

Step-by-step explanation:

hello :

What is the answer to 2x + 3y=18 5x - 3y=3? Hurry pls.

Answers

Answer: Solve for

[tex]y= \frac{5x}{3} -1\\or \\y=-\frac{2x}{3} +6\\[/tex]

Step-by-step explanation:

Solve for X.

The person above me got the answer spot on (:

The length of a rectangle is 15cm more than its width and perimeter is 150cm. Find the length and width of the rectangle.

Pls help as I'm preparing for my exams

Answers

Answer:

Hope this helps you..

Brainliest plsssss

All the Best for your exams

Step-by-step explanation:

let the breadth=x

the length  =x+15

given perimeter= 150

Perimeter of rectangle = 2x(l+b)

150 = 2( x+ x+15)                            

75 = 2x +15

60 = 2x

30=x  

therefore breadth = 30 cm  

length   = 30 +15  = 45 cm

Verification:

150 = 2( 45+30)

150 = 2(75)

150 = 150  

LHS=RHS

Hence, proved..

Answer:

Step-by-step explanation:

Let the breadth(b) be x . Then by the question

Length (L) = ( x + 15 )cm

Perimeter = 150 cm

or 2( L + b) = 150

2 ( x + 15 + x ) = 150

2x + 15 = 75

2x = 75 - 15

2x = 60

x = 30 cm

Therefore breadth or width is 30 cm

Similarly

Length = 30 + 15 = 45

hope it helps :)

Pamela is 9 years younger than Jiri. The sum of their ages is 67. What is Jiri's age?

Answers

Answer:

Jiri is 38 years old.

Step-by-step explanation:

First, 67 - 29 = 38 and 29 + 9 = 38.

Hope this helps!

EASY 15 POINTS!

what is the area?

shape below

358 in^2
94 in^2
168 in^2
242 in^2

Answers

Answer:

Area of rectangle= 24 × 7 = 168

Area of trapezium = ((a+b)/2)h = 74

Total area = 168 + 74 = 242

Answer:

242in^2

Step-by-step explanation:

Area of parallelogram is

1/2(a+b)×h

a=13in

b=24in

h=4in

= 1/2(13+24)×4

=1/2(37)×4

so the area of the parallelogram is

=74in^2

Area of rectangle is

L×B

L=24in

B=7in

=24×7

=168in^2

so the area will be the sum of the area of parallelogram and rectangle

=74in^2+ 168in^2

=242in^2

What is the arc measure, in degrees, of ADC on circle P below?


70°


104°

Answers

Answer:

The answer is "[tex]\overarc{ADC} = m\angle CPD + m\angle DPA = 186[/tex]"

Step-by-step explanation:

Please find the image of the question:

In the circle p:

[tex]\to m\angle APB + m\angle BPC + m\angle CPD + m\angle DPA = 360^{\circ} \\\\\to 70 + 104 + m\angle CPD + m\angle DPA = 360\\\\\to m\angle CPD + m\angle DPA = 360 - 70 - 104 = 186[/tex]

Let P is in the center

[tex]\to[/tex] arc AD= [tex]m\angle APD[/tex]

[tex]\to[/tex] arc DC = [tex]m\angle CPD[/tex]  

[tex]\to[/tex] arc BC = [tex]m\angle BPC[/tex]  

arc AB =

When D is on arc AC:

[tex]\to[/tex]arc ADC =  arc AD  + arc DC  

[tex]\to[/tex]arc ADC = [tex]m \angle CPD + m\angle DPA = 186[/tex]

6. y=-x
Point:
Slope:

Answers

Answer:

Slope= -1

Step-by-step explanation:

The point is X

Answer:

-1

Step-by-step explanation:

because the number in front of the x is your slope

A CD player that regularly sells for $79.00 is on sale at a 15% discount.
Find the sale price of the CD player. Show your work.

Answers

Answer:65.15

Step-by-step explanation:

Answer:

$67.15

Step-by-step explanation:

100% - 15% = 85%

original price = 79

85% of 79 = sale price

85/100 * 79 = sale price

67.15

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