Find the coordinates of the center and the measure of the radius for a circle whose equation is (x - 3)^2 + (y - 7)^2 = 2.
A. center = (3,7), radius = √2
B. center = (3,7), radius = 1
C. center = (-3, -7), radius =4
D. center = (-3, -7), radius =1

Answers

Answer 1

Answer:

A

Step-by-step explanation:

Equation for a circle of radius r, centered at (h,k):

(x-h)² + (y-k)² = r²

Answer 2

The coordinates of the center and the measure of the radius for a circle given are center = (3,7), radius = √2.

What is a circle?

A circle is a shape or a curve in a plane that has a fixed distance, called the radius, from a given point, called the center. A circle is also the set of all points that are equidistant from the center.

Given is an equation of a circle, we need to find coordinates of the center and the measure of the radius for a circle,

The equation of the circle =

(x - 3)² + (y - 7)² = 2

The standard equation for a circle of radius r, centered at (h,k):

(x-h)² + (y-k)² = r²

Comparing both we get,

(h, k) = (3, 7)

r² = 2

r = √2

Hence, the coordinates of the center and the measure of the radius for a circle given are center = (3,7), radius = √2.

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Related Questions

SOMEONE PLEASE EXPLAIN THIS TO ME

Answers

17.5 = x

Step-by-step explanation:

1st you add 85 and 55 since those to angles are congruent (means similar) to 8x

2nd you get 140 after adding then

3rd since the angles are congruent you just divide the 140 by 8 to get the value of x

Which equation shown below would have a solution set to the system shown below?
x+ 2y = 4
3x - y = -1
1. 6x-2y = -1
2. 3x - y = 4
3. -2x + 3y = 5
4. 4x + y = -4​

Answers

2 it is sorry if this is wrong

In the diagram shown , CD =7,DB=8, AE=5,m

Answers

Answer:

.

Step-by-step explanation:

Answer:

I don't understand the question

Step-by-step explanation:

can you help me with my question The strange occurrences reported by the chambermaid who cleaned Dr. Heidegger's den (In Paragraph 3 of "Dr. Heidegger's Experiment") are examples of A. personification. B. symbolism C. elements of gothic literature, b or c

Pls help me plssss plsssss

Answers

Answer:

B

Step-by-step explanation:

how many 1/2's in 4? thats how many bows so 4 ÷ 1/2

Answer:

it's b.

debbie can make 8 bowls

A class contains 10 sophomores, 15 juniors, and 20 seniors. A committee of 5 students is to be chosen. Each student is equally likely to be selected to serve on the committee. Let A be the event exactly 3 juniors are selected to serve on the committee. Let B be the event exactly 2 seniors are selected to serve on the committee.

Required:
a. Find P(A)
b. Find P(A| B)

Answers

Answer:

P(A) = 0.1620 , P(A|B) = 0.0707

Step-by-step explanation:

Total people = 10 + 15 + 20 = 45 , Sophomores = 10, Juniors = 15 , Seniors = 20

P(A) , exactly 3 juniors selected = (15 c 3) (30 c 2) / (45 c 5) = (455 x 435) / 1221759 = 0.1620  

P (B) , exactly 2 seniors selected = (20 c 2) (25 c 3) / (45 c 5) = (190 x 2300)/ 1221759 = 0.3576

P(A|B), exactly 3 juniors & exactly 2 seniors selected = P (A∩B) / P (B)

(15 c 3) (20 c 2) / (45 c 5) = (455 x 190) / 1221759 = 0.0707

What is the least common denominator of 3/5 and 9/10?​

Answers

Answer:

9/10

Step-by-step explanation:

3/5 = 6/10 = 9/10 = 9/10

I'm not 100% sure of this answer someone please correct me if I'm incorrect.

What is the range of f(x) = (three-fourths) Superscript x – 4?

Answers

{y | y > –4}



Left-brace y vertical line y greater-than three-fourths right-brace



{y | y < –4}



Left-brace y vertical line y less-than three-fourths right-brace

Answer:

What is the range of f(x) = (three-fourths) Superscript x – 4?

* {y | y > –4}

** Left-brace y vertical line y greater-than three-fourths right-brace

*** {y | y < –4} <<<correct

**** Left-brace y vertical line y less-than three-fourths right-brace

Step-by-step explanation:

Edge 2021

Identify the range of the function shown in the graph.
O A. y> 0
O B. -5 sys5
O C. Osys 5
OD. yis all numbers.
PREVIOUS

Answers

[tex]\mathfrak{\huge{\orange{\underline{\underline{AnSwEr:-}}}}}[/tex]

Actually Welcome to the Concept of the plots and graphs.

Since, the x axis varies from -infinite to +infinite,

here, the y totally varies from -5 to +5,

hence, the option B.) is correct.

===>

[tex] - 5 \leqslant y \leqslant 5[/tex]

14b-12b-3? plss helpp

Answers

If it’s to simplify its 2b-3

Kenneth runs 12 laps around a track in 15 min. How many minutes per a lap is that?



**choose your answer from the choices on Slide 2, but you must show how you got your answer on the chart, blank drawing space below, or explain in words**

Answers

Answer: 1.25 minutes per lap

Step-by-step explanation:

Her total time divided by total laps is 15 divided by 12, which is 1.25

Answer:

Kenith runs 0.8 laps a minute

Step-by-step explanation:

pls answer this if you do I mark brainlest​

Answers

Answer:

268

Step-by-step explanation:

2×(10×8 + 10×3 + 8×3) = 268 yards

Answer:

[tex]268yd^2[/tex]

Step-by-step explanation:

The Surface Area formula for a rectangular prism is:

[tex]2(wl+hl+hw)[/tex]

where w is the width, h is the height, and l is the length.

Plug each value into the formula and solve:

[tex]2(8*10+3*10+3*8)=268yd^2[/tex]

If this helped, a brainliest answer would be greatly appreciated!

X
the sum of first ten numbers prime numbers​

Answers

Answer:

Step-by-step explanation:

2 3 5 7 11 13 17 19 23 29

The sum = 129

Is it 1,2,3 or 4
Look at the picture.
Thank u!

Answers

Answer:

4896 sq units

Step-by-step explanation:

A = lw

multiply 48 to 102

17
Write the integers that are closest to the number in the middle to complete the statement.

Answers

I think it’s 15! Hope this helpsssssss

cuánto es 567 + 678 es igual

Answers

Answer: 1245 :)

Step-by-step explanation:

Answer:

la respuesta es 1245

567+678=1245

5. What are the values of x and y? Be sure to show your work.
helpppp plz hurry

Answers

Answer:

x=35 y=72.5

Step-by-step explanation:

x is equal to 35 because they are vertical angles. y is equal to 72.5 because if you use the equation y + y + 35 = 180 and subtract 35 then divide 145 by 2, you would get 72.5

The admission fee at an amusement park is $20 for children and $35 for adults. On a certain day, 276 people entered the park, and the admission fees collected totaled $7620. How many children and how many adults were admitted?

Answers

35x + 20y = 7620
x+y=276

Y=276-x
35x+20(276-x)=7620
35x+5520-20x=7620
15x=2100
X=140
140+y=276
Y=136
140 adults and 136 children

Total number of children are 116 and adults are 160.

What is an equation?

An equation is a combination of different variables, in which two mathematical expressions are equal to each other.

Let the number of children entered in park = x

And the number of adults entered in park = y

Fee for children = $20

Fee for adults = $35

According to given condition,

Total number of people = 276

⇒x+y = 276     (1)

Total fees collected = $7620

⇒20x+35y = 7620      (2)

By solving equation (1) and (2),

The value of x is 116

And value of y is 160

Total number of children are 116 and adults are 160.

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Pls help extra points and mark brainlist

Answers

Answer:

Rock layers only (I think this is correct from the searches I've made)

The entire graph of the function f is shown in the figure below.
Write the domain and range of f as intervals or unions of intervals.

Answers

you need to put a picture of the graph

What is the area of a circular region whose
diameter is 12 centimeters?

Answers

Answer:

A circle of radius = 12 or diameter = 24 or circumference = 75.4 cm has an area of: 4.524 × 10-8 square kilometers (km²)

The area of the circular region will be 113 square centimeters.

What is an area?

The space occupied by any two-dimensional figure in a plane is called the area. The space occupied by the circle in a two-dimensional plane is called the area of the circle.

The formula to calculate the area of the circle is given by:-

A = πr²

Given that the diameter of the circular region is 12 centimeters. The radius will be half of the diameter.

r = d / 2

r = 12 / 2 = 6

The area of the region will be calculated as below:-

A = πr²

A = π x ( 6 ) x ( 6 )

A = 113.09 square centimeters

Therefore, the area of the circular region will be 113 square centimeters.

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A dilation produces a smaller figure. Which is a possible scale factor?
0 -2
O 1/3
O 1
O4

Answers

Answer:

1/3

Step-by-step explanation:

2. In triangle ABC, SA is a right angle, and m B = 45°
(1 point)
C
16 ft
A
B.
What is the length of BC? If your answer is not an integer, leave it in simplest radical form.
O 16 ft
O 16.2 ft
O 16.5 ft
O 32 ft

Answers

Answer:

[tex]16\sqrt{2}[/tex]

Step-by-step explanation:

The given triangle shown is a 45-45-90. We can use this picture attached to figure out BC.

n in this case is 16ft

Based on the picture, we can get BC's length, which is n[tex]\sqrt{2}[/tex]

BC = [tex]16\sqrt{2}[/tex]

Solve for b. —11b + 7 = 40 b =​

Answers

Answer:

-3

Step-by-step explanation:

-11(-3)+7=40

33+7=40

2/7 letts gooo keep it goo yall doing great

Answers

Answer:

all of them

Step-by-step explanation:

I'm pretty surep

Which triangle makes this statement true?

Answers

Answer:

Step-by-step explanation:

A sample from a population with μ = 40 and σ = 8 has a mean of M = 36. If the sample mean corresponds to a z = –1.00, then how many scores are in the sample?

Answers

Answer:

There are 4 scores in the sample.

Step-by-step explanation:

To solve this question, we need to understand the normal probability distribution and the central limit theorem.

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the zscore of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

Central Limit Theorem

The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

In this question, we have that:

[tex]\mu = 40, \sigma = 8, X = 36, Z = -1, s = \frac{8}{\sqrt{n}}[/tex]

We want to find n. So

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

By the Central Limit Theorem

[tex]Z = \frac{X - \mu}{s}[/tex]

[tex]-1 = \frac{36 - 40}{\frac{8}{\sqrt{n}}}[/tex]

[tex]-4\sqrt{n} = -8[/tex]

[tex]4\sqrt{n} = 8[/tex]

Simplifying by 4

[tex]\sqrt{n} = 2[/tex]

[tex](\sqrt{n})^2 = 2^2[/tex]

[tex]n = 4[/tex]

There are 4 scores in the sample.

tfewfgeeffeefefefwefwewwefewewfefwfew

Answers

Answer:

I understand your pain

Step-by-step explanation: sadge

In which equation does X have a value of 25 A) 2 ( x - 25) = 25 B) 1/5 X + 20 = 25 C) 0.5 X + 12 = 25 D) -4X -75 = 25

Answers

Answer:

B

Step-by-step explanation:

1/5x +20 = 25

1/5x = 5

x = 25

Answer:

B

Step-by-step explanation:

A) 2(x-25)=25  x=25  2(25-25)=25 2(0)=25 No

B 1/5x+20=25  x=25  1/5*25=5  5+20=25 Yes

B is the answer! I hope this helped ^^

The angle measurements in the diagram are represented by the following expressions

Answers

Answer:

∠A is equal to 73°

Step-by-step explanation:

Because the two lines that move roughly bottom/left to top/right are marked as being parallel, we can say that ∠A + ∠B = 180°

With that we can take the two equations at the top, and add them together for a sum of 180°:

6x - 35° + 3x + 53° = 180°

9x + 18° = 180°

x + 2° = 20°

x = 18°

Now that we have x, we can solve for ∠A:

∠A = 6x - 35°

∠A = 6(18°) - 35°

∠A = 108° - 35°

∠A = 73°

We can test our answer by solving for ∠B.  We know that ∠A and ∠B add up to 180°, so ∠B = 180° - ∠A = (180 - 73)° = 107°.  Now let's solve for be given x and the original equation, and see if we have the right numbers:

∠B = 3x + 53°

∠B = 3(18°) + 53°

∠B = 54° + 53°

∠B = 107°

Which matches up, showing us that we have the correct answer.

Can someone help me please

Answers

Answer:

(3x+1)(x+9)

Step-by-step explanation:

Answer:

(3x+1)(x+9) is the answer

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