Mathematics College

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.

Learn more about circle, click;

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Related Questions


What is an equation of the line that passes through the point (-4,3) and is
perpendicular to the line 4x – 5y 20?

Answers

Answer:

y=-5x/4-2

Step-by-step explanation:

4x – 5y = 20

y = (4/5)x - 4

slope is 4/5

let new slope m:

(m)(4/5)=-1

m=-5/4

point slope form:

(y-3)/(x+4)=-5/4

y-3=-5x/4-5

y=-5x/4-2

What is the value of x?

Answers

Answer:

x=14/3

Step-by-step explanation:

According to the corresponding angles theorem, when parallel lines are cut by a transversal, the corresponding angles are congruent. These 3 lines are all parallel, so 70 = 12x +14.

Subtract 14 from both sides

56 = 12x

Divide both sides by 12

14/3 = x

x=14/3

Hi plz help me I am timed

Answers

Answer:

112.36 yd^2

Step-by-step explanation:

10.6 * 10.6 = 112.36

this was useless because a selected the exact answers and they where all wrong :(

Answers

Answer:

srry

Step-by-step explanation:

Maybe! I think people are all nice to help. Sometime is wrong but their is nice don't you think?

1. What is 35% of 200?

Answers

Answer:

70 is 35% of 200

Step-by-step explanation:

Your welcome

Answer:

70 is 35 % of 200

Step-by-step explanation:

.35 × 200 = 70

Convert 45ft from feet to yards
PLS.Answer

Answers

Answer:

15 yards

Step-by-step explanation:

3ft=1yard

45/3=15

A student is playing a number game and starts with number -15

Answers

What is even the question

A line includes the points (4,1) and (8, 2). What is its equation in slope-intercept form?

Write your answer using integers, proper fractions, and improper fractions in simplest form.

Answers

Answer:

[tex]y = \frac{1}{4} x[/tex]  

Step-by-step explanation:

1) First, find the slope of the equation. Use the slope formula [tex]m= \frac{y_2-y_1}{x_2-x_1}[/tex]. Substitute the x and y values of the given points into the formula and solve:

[tex]m = \frac{(2)-(1)}{(8)-(4)} \\m = \frac{2-1}{8-4}\\m = \frac{1}{4}[/tex]

Thus, the slope is [tex]\frac{1}{4}[/tex].

2) Now, use the point-slope formula [tex]y-y_1 = m (x-x_1)[/tex] to write the equation in point-slope form (from there we can convert it to slope-intercept). Substitute values for [tex]m[/tex], [tex]x_1[/tex], and [tex]y_1[/tex].

Since [tex]m[/tex] represents the slope, substitute [tex]\frac{1}{4}[/tex] for it. Since [tex]x_1[/tex] and [tex]y_1[/tex] represent the x and y values of one point the line intersects, choose any of the given points (it doesn't matter which one, the end result will be the same) and substitute its x and y values into the formula as well. (I chose (4,1), as seen below.) Then, isolate y to put the equation in slope-intercept form and find the answer.

[tex]y-(1) = \frac{1}{4} (x-4)\\y-1 = \frac{1}{4} x-1\\y = \frac{1}{4} x+0\\y=\frac{1}{4}x[/tex]

HELP FAST FAST FAST
IM GIVING BRAINLIEST!!!!

A trapezoid has an area of 13.5 inches. The bases are 3 inches and 6 inches. Determine the height of the trapezoid.

EXPLAIN THE PROCESS AND THE STEPS PLEASEEE

Answers

Answer:

h=3in  

Step-by-step explanation:

A=a+b

2h

Solving forh

h=2A

a+b=2·13.5

3+6=3in

7) Taylor has a bag of marbles that are all the same size. Of all the marbles
in the bag, there are 5 red, 6 pink, 7 blue, 3 green, and 4 yellow marbles.
Using a probability model for this experiment, predict how many times
Taylor would pick up a red marble if she choses a marble 300 times. *
I

Answers

Answer:

60 times

Step-by-step explanation:

There are a total of 5+6+7+3+4=25 marbles

Out of those 25 marbles, 5 are red.

Since there would be a 5/25=1/5 chance of selecting a red marble one time, then we can set up a proportion to find out how many red marbles Taylor will select out of 300 marbles.

1/5=x/300

(1)(300)=(5)(x)

300=5x

60=x

x=60

Therefore, using a probability model for this experiment, Taylor would pick up a red marble 60 times if she chooses a marble 300 times.

3) Find AB
B
30°
28
59

A) 24
B) 20
C)27
D) 25

Answers

Your answer would be 27

work out the area of this sem​

Answers

Answer:

I’m not sure if this is free points or a question but the question is not clear

Step-by-step explanation:

Answer:  Uhmm where is the problem?

Find x from the given triangle in simplest radical form. (4b)

Answers

Answer:

8 is its opposite,

Step-by-step explanation:

Someone please help me answer this!!

Answers

one and three sixth because u simplify the two fractions

5 The volume of the sphere below is approximately 904.78 cm". What is the diameter of the sphere?

Answers

Answer:

the diameter would be 12.

what is the value of p+9 when p=16​

Answers

Answer:

25 :)

Step-by-step explanation:

well, if it's p+9 and you know that p=16 then you plug 16 in for p so the equation will be 16+9 and then you solve from there which is 25

Can someone please help

Answers

The answer is the 3rd option.

I think it might be the 3rd one because consecutive interior angles add up to 180 degrees

can someone help me with these answers I'll give brainly​

Answers

1. -5

2. 6

3. -4

4. -1

5. 4

6. -4

please help !! find the missing sides

Answers

I had this question once in a test as well but instead 30° was there instead of 60° but I’m guessing the answer will be the same too. I’m pretty sure the answer is the last one “x=14 y=7”

wirte an inequality to comepare the ratios 2/4 and 5/6​

Answers

The inequality is < so 2/4 < 5/6.

ILL GIVE BRAINLESTTTTTT

Answers

Answer:

Step-by-step explanation:

5/3 *2=10/6

10/6-6/6=4/6

A bank wonders if omitting the annual credit card fee for customers who charge at least $2400 in a year will increase the amount charged on its credit cards. The bank makes this offer to an SRS of 200 of its credit card customers. It then compares how much these customers charge this year with the amount that they charged last year. The mean increase in the sample is $332, and the standard deviation is $108.

Answers

Answer:

We reject the H0

Step-by-step explanation:

Given that:

Sample size, n = 200

x, = 332 ; s = 108

H0 : μ = 0

H1: μ > 0

The test statistic :

(x - μ) / s/sqrt(n)

332 / 108/sqrt(200)

332 / 7.6367532

Zstatistic = 43.47

Pvalue from Zstatistic at α = 0.05

P value is bet small < 0.00001

Pvalue < α

We reject the null

Conclusion: Amount charged on credit card under the no - fee plan increases

100 points need help for unit test please!!! don't answer if you don't know
question attached

Answers

To find the x-intercept, substitute in 0 for y and solve for x.

To find the y-intercept, substitute in 0 for x and solve for y.

x-intercept(s): (4,0)

y-intercept(s): (0,−28/5)

Please Mark brainliest and I hope this helps! :D

Answer:

Solution given:

when

(-3,-2)

in equation;

7×-3-5×-2=28

-11≠28(not satisfied)

when

(-2,-3)

equation will be

7×-2+5×3=28

1≠28(not satisfied)

when

(0,4)

equation will be:

7×0-5×4=28

-20≠28

(not satisfied)

when

(4,0).equation will be

7×4-5×0=28

28=28(satisfied)

so

(4,0) is a required answer.

Please help me on this

Answers

43 since 7-2 =5
And 5 times 7 = 35 for the big box
And the top are 2 little boxes of an area of 4
35+8=43

Answer:

Step-by-step explanation:

A circle has a circumference of 46n meters. What is the radius of the circle?

Answers

Answer:

r≈7.32

Step-by-step explanation:

You're welcome

Madeline sells five roses on the first day, seven roses on the second day, ten on the third day, fourteen on the fourth day. If Madeline continues her selling pattern, how many roses will she sell on the tenth day? How many will she sell on the fifteenth day?​

Answers

Answer:

124, I believe

Step-by-step explanation:

each day you're adding on the amount of the day,

5,7,10,14,19,25,32,40,49,59,70,82,95,109,124

days below

(1,2,3,4,5,6,7,8,9,10,11,12,13,14,15)

5 on day 1

5+2=7 day 2

7+3=10 day 3

and so on

If ABCD is a parallelogram and angle A is 120 degrees, what is the measure of angle D?

Answers

the answer is 60. the second answer choice. 180-60=120.

Answer:

given angle A =120degree

angle D =60 degree

because angle A+angle B=180 degree

hope it is right answer for it!!

I need help and I don’t know how to check it

Answers

Answer:

y=2x+3

Step-by-step explanation:

What is the area of this composite figure?
5 cm
12 cm
3 cm
3 cm
2 cm
2 cm

Answers

Answer:

quit school its trash

Step-by-step explanation:

e

Alonso purchases a kayak for $2100. The sales tax is 7% of the cost of the kayak.
Find the total cost, including tax, of Alonso’s purchase.

Answers

Answer:

$2247

Step-by-step explanation:

2100+(2100*7/100)= 2100+147=2247

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