Find the radius of the given circle with the center at (-2,1) and a point on the circle at (0,3).​

Find The Radius Of The Given Circle With The Center At (-2,1) And A Point On The Circle At (0,3).

Answers

Answer 1

Answer:

The radius of the given circle ( r ) = 2√2

Step-by-step explanation:

Step(i):-

Given that the center of the circle C = ( -2,1)

Given a point on the circle P = (0,3)

The distance between the center and point is called the radius of  the circle

CP = radius of the circle

Step(ii):-

[tex]CP = \sqrt{x_{2} - x_{1})^{2} +(y_{2} -y_{1} )^{2} }[/tex]

[tex]CP = \sqrt{(0 - (-2))^{2} +(3-1)^{2} } \\CP = \sqrt{4+4}[/tex]

CP = √8 = [tex]\sqrt{4 X 2} = 2\sqrt{2}[/tex]

Final answer:-

The radius of the given circle ( r ) = 2√2


Related Questions

What is the answer to this problem step by step (3+2)^2×7)-13+5^2?

Answers

Answer:

187

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Step-by-step explanation:

Step 1: Define

(3 + 2)² × 7 - 13 + 5²

Step 2: Evaluate

(Parenthesis) Add:                     5² × 7 - 13 + 5²Exponents:                                 25 × 7 - 13 + 25Multiply:                                      175 - 13 + 25Subtract:                                     162 + 25Add:                                            187

The diagram below shows parallelogram ABCD with diagonals AC and BD intersecting at E

What additional Information is sufficient to prove that parallelogram ABCD is also a rhombus?

Answers

9514 1404 393

Answer:

  D.  AC ⊥ BD

Step-by-step explanation:

Given that  ABCD is a parallelogram, we already know A (BD bisects AC) and B (AB ║ CD). Statement C (AC ≅ BD) will not be true for a parallelogram or rhombus.

Statement D (AC ⊥ BD) guarantees the parallelogram is a rhombus.

a shoe store has a sale in which all shoes are priced at $33.00. the original price was $44. what is the percent of discount. ​

Answers

Answer:

44 - 33 = 11

11/44 X 100 = 25%

Step-by-step explanation:

find the difference between the original price and new price (change)

change/original price X 100 = percentage change

so say if its 4:30 pm now for me, what time will it be in 4 and a half hours? im lazy lolz

Answers

Answer:

9:00

Step-by-step explanation:

9:30 or either 9 but yea

y = 7x-6
what is the slope?

Answers

Answer:

7

Step-by-step explanation:

Answer:

7

Step-by-step explanation:

-6 is the y intercept

7 is the slope

y=mx+b

Identify the number of solutions for the equation below:

Answers

Answer:

one solution

Step-by-step explanation:

Given  the expression

3 -x = 2+x

We re to find the number of solutions we will have:

Subtract 2 from both sides

3-x-3 = 2+x -3

-x = x -1

subtract x from both sides

-x - x = x - 1 - x

-2x =-1

Divide both sides by -2

-2x/-2 = -1/-2

x = 1/2

Since the value of x is just 1, hence the equation has just one solution.

least common multiple of 9, 12, 18​

Answers

Answer:

36

Step-by-step explanation:

Answer:

36

Step-by-step explanation:

Take your time with this. Just try to help me with this.

Answers

Answer:

A.

The y intercept is at 0,550 for the city of Everett. That means that initially the city started out with 550 Chromebooks.

B. y = 50x + 300

Step-by-step explanation:

A.

The y intercept is at 0,550 for the city of Everett. That means that initially the city started out with 550 Chromebooks.

For all the years after is when the line graph goes up which means they are adding to their total number.

B.   For the city of Revere, they started out with 300 and are adding 50 Chromebooks every year.

Y represents the total and x is each counting year.

So the equation of the line is represented by y = mx + b

b is any constant which in this case is any initial amount (300)

and m is the rate/change which is the number represented by the value that will go up ever year of x (50)

So plug it all in equals:

y = 50x + 300

Below are two parallel lines with a third line intersecting them.

Answers

Answer:

132 degrees

Step-by-step explanation:

One sit of the 48 degrees is 48 degrees, so that opposite will be the same. Add them up, get 96. There is a full 360 degrees circle, so get 360 and subtract 96 from it, to get 264 degrees. That is the top and bottom angle of the right side, so just divide it in two

Answer:

I think x= 84

if the lines are parallel then the angle should be the same. Because one angle =48° the other side is likely to equal the same. Add 48+48, subtract 180 from your answer and that's how you get 84°. hope this helps

Which graph represents all the real numbers , x, where x <_ -1

Answers

Answer:

B

Step-by-step explanation:

it's the answerhope this helps

The graph of the inequality is the second graph.

Which graph represents all the numbers x ≤ -1?

The graph will be a number line, such that we have a closed circle at x = -1, and we shade the region to the left (because x must be smaller than -1).

By looking at the possible options, we can see that the number line that meets this condition is the second one, the graph on the upper right corner.

That is the graph of the inequality: x ≤ -1.

If you want to learn more about inequalities:

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11. The distance between two houses in a neighborhood is 12 meters. There are approximately 4 meters in 13 feet. Which measurement, in feet, is closest to the distance between the two houses?

Answers

Answer:

The closest distance between the houses in feet is 39 feet

Step-by-step explanation:

Distance between the houses in metres is 12 metres.

Essentially, the problem is asking us to convert this distance to feet using the scale ratio that we are given.

The scale ratio is

4 meters = 13 feet.

1 meter = x feet

by cross multiplying, we have that x = 13/4 feet

We now know how long 1 meter is in feet using the scale we were given

We can now convert the 12 meters to feet.

1 meter = 13/4 feet

12 meters = x feet

[tex]x = 12 \times 13/4=39 feet[/tex]

Therefore, the closest distance between the houses in feet is 39 feet

plz help me asap i need this

Answers

Answer:

67

Step-by-step explanation:

An online service charges $3 for each downloaded movie, plus a monthly fee of $6,50 Which function represents this
situation?
OY=3x6.50
OY"65073
Oy 3x6.50
OY=650x3



I need bad help.

Answers

Answer:

ANSWER

y = 3x + 6.50

EXPLANATION

The $3 for each downloaded movie is the unit rate of change.

This is represent the slope of the linear function that models this situation.

The monthly fee of monthly fee of $6.50 the constant rate.

It represents the y-intercept of the function.

The linear function is given by

y = mx + by=mx+b

The correct choice is y = 3x + 6.50

Answer:

A. Y= 3x6.50

Step-by-step explanation: This is the correct answer, because you can use the process of elimination on answers B and C due to how they are set up. And D is incorrect, because there is no decimal in 650 which is not the correct number in the problem. Therefore, A. Y= $3 for each downloaded movie multiplied by the monthly fee of $6.50 is the correct answer. Hope this helps ^-^.

The table below shows the number of peaches and cups of water used to make fruit punch according to a certain recipe. Peaches Water (cups) 64 96 56 84 How many cups of water are needed for every 1 peach? Note: Your answer may be exact or rounded to the nearest hundredth. label optional​

Answers

Answer:

fhyedGFYUSEGCFUEGFCYU

Step-by-step explanation:

pay back

ashley is 4 years less than 3 times savannahs age. if ashley is 29 years old, how old is savannah? please help!

Answers

Answer:

11 years old

Step-by-step explanation:

Let x be Savannah's age

Ahsleys age should be 4 years less than three times Savannah's age

3x (Savannah) - 4 (years)

Then, you make an equation.

29 years old = 3x-4

simplify:

add four on both sides

33=3x

divide by three on both sides

x=11

158, 155,152,...

Find the 34th term.

Answers

Answer:

56

Step-by-step explanation:

158 - ( 3 * 34) = 56

5/7(14-21x)=115
what is the answer?

Answers

Answer:

-7

Step-by-step explanation:

what do I dooooo i dont know how to do dis

Answers

Answer:

Concept: Rate of change

Rate of change is always referred to as slope or the change over time Hence it is [tex] \frac{x}{y} [/tex]With x as the change and y as the time Let us fill our the table: Assume that the hourly rate is 10 Hence for 1 hour: total earning= 10For 10 hours: Total Earning= 100For 20 Hours: Total Earnings= 200 Rate brainlist

i need to know the next sequence in these fractions simplified

Answers

Answer:

The sequence is add 3/20

Step-by-step explanation:

Please help 25 points and brainiest
Find the slope of the line between each pair of points
1-16 please help

Answers

Answer:

what i would do is look them up on a calculator if you have a calcoulater

Step-by-step explanation:

Answer: 21

Step-by-step explanation:

Which function has a greater rate of change? Function 1 Function 2 X-1 -2 -3 2 3 y 3 5 7-3-5 A) Function 1 B) Function 2 C) Neither, they are equal D) Neither, one is nonlinear ОА OB ОС​

Answers

Answer:

Step-by-step explanation:

Write a situation in which positive and negative numbers are used to describe values that have opposite meaning. What does 0 represent in this situation you created?

The distance from the bottom of a ladder to the wall it leans against is one-fourth of the length of the ladder. If the ladder is 12 feet long, how far up the wall will the ladder extend?

Answers

Answer:

The ladder will extend 11.6ft up the wall

Wall will the ladder extend 11.6 ft

What is Pythagoras theorem?

The Pythagoras theorem states that in a right-angled triangle, the square of the hypotenuse is equal to the sum of the squares of the other two sides.

Given

Length of the ladder = 12 ft

Distance from the bottom = 1/4 of length of the ladder

= [tex]\frac{1}{4}[/tex] × [tex]12[/tex]

= 3 ft

By using Pythagoras theorem

[tex]12^{2}=x^{2} +3^{2}[/tex]

[tex]x^{2} =144-9[/tex]

[tex]x^{2} =135[/tex]

[tex]x=\sqrt{135}[/tex]

[tex]x=[/tex] ± 11.6 ft

Hence, wall will the ladder extend 11.6 ft.

Find out more information about Pythagoras theorem here

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ah hurry!

In a bag, you have a strip of paper with the numbers 1-10 written on the strips. If one strip of paper is pulled from the bag and then replaced, what is the probability of the following events:
pick the number 3 and then picking the number 6.

A: 1/100
B: 1/10
C: 3/10
D: 6/10

Answers

Answer: A

Step-by-step explanation: 10x10=100

Caitlin earns $7.00 an hour doing yard work for her neighbor. She worked 3 hours Friday, 4 hours Saturday, and more hours Sunday. She earned $77.00 for the weekend. How many hours did she do yard work on Sunday?

Answers

Answer: 4 hours

Step-by-step explanation:

$77.00 divided by $7.00 = 11 hours

11 hours- 3 hours (Friday)- 4 hours (Saturday)= 4 hours on Sunday

A total of 7 hours worked on Fri. and Sat.

Answer:

Caitlin worked 4 hours on Sunday.

Step-by-step explanation:

The answer is 4 hours because 7.00 multiplied by 7 (Because 3 + 4 = 7) is 49.00 and 77.00 minus 49.00 = 28.00 and since 1 hour = 7.00 and 7.00 multiplied by 4 is 28.00 then the answer must be 4 hours.

P.S Can I have brainliest?


The changes in the depth of snow, in inches, at a ski resort for four days are shown below.
-1/8, 3/4, 3/4, -1/2

What is the average change in the depth of the snow during the 4-day period?
A. 2 1/8
B.3 1/2
C. 7/32
D. 17/32

Answers

Step-by-step explanation:

Total change = (-1/8) + (3/4) + (3/4) + (-1/2) = 7/8.

Average change = Total change / 4 days

= (7/8) / 4

= 7/32. (C)

24a+48=9(2a-4) please

Answers

Answer:

a = -14

Step-by-step explanation:

1. distribute

24a + 48 = 9(2a - 4)

24a + 48 = 18a - 36

2. subtract 48 from both sides of the equation

3. simplify

4. subtract 18a from both sides of the equation

5. simplify

6. divide both sides of the equation by the same term

7. simplify

solution: a = -14

hope this helped!

Please help, this is called Writing Equations

Answers

Answer:

I think its the 2nd one im not sure tho

Step-by-step explanation:

Answer:

first one is 14.

second one is 131-11=6B

Step-by-step explanation:

1) 252/18=14

2) you want to know how much 6 books sre and it says you got 11 dollars change so u take 11 from 131 to get the price of 6 books

hope that helps :)

Evaluate the expression when x-6

5x + 3
———-
3
Please explain too! I will give Brainiest

Answers

If x=6 then that’s 5(6) =30+3 =33 and if your dividing 33/3 makes 11

In a right triangle, the length of one leg is 20 units. The length of the other leg is 12 units. What is the length of the hypotenuse?

Answers

The required measure of the hypotenuse length is √544. Option D is correct.

In a right triangle, the length of one leg is 20 units. The length of the other leg is 12 units.

What are Pythagorean triplets?  

In a right-angled triangle, its side, such as hypotenuse, perpendicular, and base is Pythagorean triplets.

Here,
Apply Pythagoras' theorem,
(hypotenuse)² = sum of the square of the legs,
(hypotenuse)² = 20² + 12²
(hypotenuse)²  = 544
hypotenuse = √544

Thus, the required measure of the hypotenuse length is √544. Option D is correct.

Learn  more about Pythagorean triplets here:

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Chad is renting a moving van for one day. It costs $20 to rent the van for the day. It also costs $0.60 for each mile the van is driven. Chad uses this model to find the total cost for driving m miles: initial cost + cost for one mile × number of miles Which expression can be used to find the total cost of renting the van?

Answers

Answer:

20 + 0.6x

Step-by-step explanation:

Answer:

B (20 + 0.60m)

Step-by-step explanation:

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