Write the equation of the circle graphed below.

Write The Equation Of The Circle Graphed Below.

Answers

Answer 1

Answer:

(x + 1)^2 + (y - 1)^2 = 74

Step-by-step explanation:

By looking at the graph, we can see the center of the circle is (-1, 1).

Next, we can find the radius. We are given the point (6, -4) is on the circle. The distance from the center to a point on a circle is the radius. We can plug the points (-1, 1) and (6, -4) into the distance formula to get the radius:

r = √([-1-6]^2 + [1-(-4)]^2)

r = √(49 + 25)

r = √74

The equation of a circle is denoted in the form:

(x - h)^2 + (y - k)^2 = r^2

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

We can plug in the values we calculated:

(x + 1)^2 + (y - 1)^2 = 74


Related Questions

Very sleepy plz help, been doing these all day... question in photo

Answers

Answer:

20 40 and 90 are correct

Step-by-step explanation:

Can someone answer this please I don’t understand

Answers

Answer:

3x+2x+a=180 degree(being linear pair)

5x+25=180

5x=180-25

x=155/5

x=31

Step-by-step explanation:

KAJSKSKSKWKWKSKSKSKSKSKSKSKSKR

Answers

Answer:

ok

Step-by-step explanation:

Use the graph to help you answer this question
4
6
Point A(2, 1) partitions OR in the ratio of 3 to 2. The coordinates of point Q are (-4,-5). What are the coordinates of point R?
(-2,-3)
0 (4,3)
(6,5)
(0-2)

Answers

Answer:

Coordinates of point R = (6,5)

Step-by-step explanation:

Given;

Point A(2 , 1)

Q(-4 , -5)

m1:m2 = 3 : 2

Find:

Coordinates of point R

Computation:

X = [(m1)(x2) + (m2)(x1)] / (m1 + m2)

2 = [(3)(x2) + (2)(-4)] / (3 + 2)

2 = [3x2 - 8] / (5)

10 = [3x2 - 8]

3x2 = 18

x2 = 6

Y = [(m1)(y2) + (m2)(y1)] / (m1 + m2)

1 = [(3)(y2) + (2)(-5)] / (3 + 2)

1 = [3x2 - 10] / (5)

5 = [3x2 - 10]

3y2 = 15

y2 = 5

Coordinates of point R = (6,5)

5 pound each pound has 1/4 how many

Answers

Answer:

5/4

Step-by-step explanation:

5 pounds, and if each of those has 1/4 of something then they would have 5/4 or 1.25 of that something

9). Four friends earned $4.20 for washing a car. They decided to split the money equally. How much money did each friend get?​

Answers

Answer:

1.05

Step-by-step explanation:

Answer: $1.05

Step-by-step explanation:

I think this answer is correct because, all we have to do here is divide 4.20 by 4 (because there is 4 friends and they each get an equal amount.) So 4.20 divided by 4 equals 1.05.

Hope This Helps!

D What is the constant rate of change shown in the graph below?
2
3
0.5
1

Answers

Answer: 3

Step-by-step explanation:

Find the base of a parallelogram with height 11.8 millimeters and an area of 151.04 square millimeters.

Answers

Answer:

12.8

Step-by-step explanation:

A dog rolls over 25 times in 2 minutes. How many times can the dog roll over in 6 minutes

Answers

Answer:

75

Step-by-step explanation:

Count By Two's

25=2 minutes

50=4 minutes

75=6 minutes

Determine the equation of the circle graphed below

Answers

Answer:

(x + 3)² + (y - 4)² = 32

Step-by-step explanation:

Since we are given the coordinates of the centre and a point on the circle, we can use distance formula to find the radius.

r = √((1 - (-3))² + (8 - 4)²)

r = √(16 + 16)

r = √32

Now, formula for equation of a circle with centre (h, k) is;

(x - h)² + (y - k)² = r²

Our centre is (-3, 4) with r = √32

Thus;

(x - (-3))² + (y - 4)² = (√32)²

(x + 3)² + (y - 4)² = 32

Sharlene wraps a cylindrical package that has a height of 15 inches and
a radius of 3 inches. What is the package’s surface area? Use 3.14 for

Answers

Answer:

Surface Area = (2 • π • r²) + (2 • π • r • height)

Surface Area = 2 * 3.14 * 3*3 + 2 * 3.14 * 3 * 15

Surface Area = 56.52 +  282.60

Surface Area = 339.12

Formulas: http://www.1728.org/diamform.htm

Step-by-step explanation:

   !!!MAJOR HELP AND NO LINKS AND IF YOU DONT KNOW BUT YOU STILL ANSWER, I WILL REPORT IF YOU SAY SOMETHING THAT IS NOT AN ANSWER!!!
What is the input value for the following function if the output value is nine? Y=x+8.
Image above

Answers

Answer:

x = 1

Step-by-step explanation:

y = x + 8

Output value = 9, means y = 9.

9 = x + 8

x + 8 = 9

Subtract 8 from both sides.

x = 1.

r(x)=2[tex]\sqrt{x}[/tex] s(x)=[tex]\sqrt{x}[/tex] (rs)(4)=

Answers

Answer:

(rx)(4) = 8

Step-by-step explanation:

Given that,

[tex]r(x)=2\sqrt{x}[/tex]

and

[tex]s(x)=\sqrt{x}[/tex]

We need to find the value of (rs)(4).

[tex](rs)=2\sqrt x \times \sqrt x\\\\=2\times (\sqrt x)^2\\\\=2x[/tex]

[tex](rs)=2x\\\\=2\times 4\\\\=8[/tex]

So, the value of (rx)(4) is equal to 8.

50 POINTS !!


PLEASE HELP !! ILL GIVE BRAINLIEST TO THE RIGHT ANSWERS.

Answers

Answer:

c = 6.4

Step-by-step explanation:

Clarence saved 19% of the money he earned. If Clarence earned $90, how much did he save?

Answers

He saved $17.1




Yes yes yes yes yes

A math teacher has a number cube with faces numbered 1 through 6. He will roll the number cube 400 times. Which of the following ranges contains the best prediction for the number of times the number cube will land with a 1 or a 4 on the top face?

A. 30-35

B. 65-70

C. 130-135

D. 265-270

Answers

Answer:

Step-by-step explanation:

B?

The management of a supermarket wants to find if there is a relationship between the number of times a specific product is promoted on the intercom system in the store and the number of units of that product sold. To experiment the management selected a product and promoted it on the intercom system for seven days. The following table gives the number of times this product was promoted each day and the number of units sold.
Number of Promotions per Day Number of Units Sold per Day (hundreds)
15 11
22 22
42 30
30 26
18 17
12 15
38 23
a) With the number of promotions as an independent variable and the number of units sold as the dependent variable determine the least squares regression line. Give the equation of the line.
b) Compute r and r2. Explain their meaning.
c) Predict the number of units of this product sold on a day with 35 promotions.
d) Construct a 98% confidence interval for \beta .
e) Test at the 1% significant level that \beta is \beta \neq 0.

Answers

Answer:

15 11

Step-by-step explanation:

A vehicle owner interested in her vehicle’s fuel economy calculated the gas mileage in miles per gallon (mpg) each time she filled her tank, for several years. Here are the mpg values for a random sample of 20 of these records. Suppose that the standard deviation is known to be σ = 3.5 mpg.

Required:
Find the 95% confidence interval for the mean of gas mileage for this vehicle.

Answers

Answer:

The 95% confidence interval for the mean of gas mileage for this vehicle is (S - 1.53, S + 1.53), in which S is the mean of the sample of 20.

Step-by-step explanation:

We have that to find our [tex]\alpha[/tex] level, that is the subtraction of 1 by the confidence interval divided by 2. So:

[tex]\alpha = \frac{1 - 0.95}{2} = 0.025[/tex]

Now, we have to find z in the Ztable as such z has a pvalue of [tex]1 - \alpha[/tex].

That is z with a pvalue of [tex]1 - 0.025 = 0.975[/tex], so Z = 1.96.

Now, find the margin of error M as such

[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]

In which [tex]\sigma[/tex] is the standard deviation of the population and n is the size of the sample.

[tex]M = 1.96\frac{3.5}{\sqrt{20}} = 1.53[/tex]

The lower end of the interval is the sample mean subtracted by M. So it is S - 1.53.

The upper end of the interval is the sample mean added to M. So it is S + 1.53.

The 95% confidence interval for the mean of gas mileage for this vehicle is (S - 1.53, S + 1.53), in which S is the mean of the sample of 20.

9. When the sun makes an angle of o above the horizon, a building casts a shadow 17 feet long

What function models the height of the building?

How high is the building if 0 = 38°

(pic included) pls help me​

Answers

Answer:

A. tan 38° = opposite/adjacent

opposite = (tan 38°)(adjacent)

opposite = (0.31)(17 ft)

opposite = 5.27 ft

B. height is = 5.27 ft

The models the height of the building is y = 17 tanθ and if θ=38° then the height is 13.28 feet

Model

A mathematical model is a linguistic and mathematical concepts-based description of a system. Mathematic modeling is the process of creating a mathematical model.

How to find the model?

(A) Give the building and is shadow is 17 feet and make θ.

then the relation is tanθ =y/17

So y = 17 tanθ

(B) If the is angle is 38°

then

tan38° =y/17

0.7813 = y/17

        y = 13.28 feet

Hence the model is tanθ and when the angle is 38° the value of y is 13.28 feet.

Learn more about the model here- brainly.com/question/24448358

#SPJ2.

Solve for x: 4x-8+34+76-x = 180

NO LINKS PLSSS

Answers

The final result is 117

Answer:

x=26

Step-by-step explanation:

first add the numbers

4x-8+34+76-x=180

4x+102-x=108

Then combine like terms

4x+102-x=180

3x+102=180

Subtract 102 from both sides of the equation

3x+102=108

3x+102-102=108-102

Simplify

3x=78

Divide both sides of the equation by the same term

3x=78

3x/3=78/3

simplify

cancel terms that are in both the numerator and denominator, divide the numbers

Solution

X=26

Please help me I need to pass this

Answers

Answer:

5

-7

36

Step-by-step explanation:

if the center is (5,-7) the first part must look like

(x-5)²+(y+7)²

to find the raidus plug in 5 for x and -1 for y

(5-5)²+(-1+7)²

0²+6²=36

36

factor the expression 8q^6r^3+27s^6t^3

Answers

Answer:

(2q^2r+3s^2t)(4q^4r^2-6q^rs^2t+9s^4t^2)

Step-by-step explanation:

app said so... 0_0

the area of the parallelogram is 105 cm2. what is the base of the parallelogram?​

Answers

Answer:

15 cm

Step-by-step explanation:

Since the area of a parallelogram is b * h = a,

105 = 7b

b = 105/7 = 15 cm

Find the volume of the cone

Answers

Answer:

339.292

Step-by-step explanation:

Mark as brainliest

I NEED HELP it's due today! Giving out BRAINLIEST & 30 POINTS!
~Rules~
a. SHOW WORK/CHECK ANSWER
b. NO FILES/LINKS
c. NO SILLY ANSWER
~Hocus Pocus

Answers

Answer:

see below

Step-by-step explanation:  5 20 21 02

There are 5 areas to calculate

Top  = LW          =  (20)(17)

Bottom  = LW    =  (20)(15)

Back  = LW        =  (20)(8)

2 Triangular Ends  = One square    = LW     =  (8)(15)

Total Surface Area = (20)(17) +  (20)(15) + (20)(8) +  (8)(15)

                  = (20)(17 + 15 + 8) +  (8)(15)

                  = (20)(40) + (8)(15)

                  =  800  +  120

                  =   920 ft²

55 Find the missing angle​

Answers

Answer:

what

Step-by-step explanation:

Evaluate the expression when b= 14 and c=6.

Answers

Answer:

14-6 = 8

14+6 = 20

14 x 2 = 28

14/2 = 7

2/14 = 1/7 = 0.14285714285

14^2 + 6 =  196 + 6 = 202

and so on..

Step-by-step explanation:

Randy took a standardized test that is normally distributed. He scored a 105 on the test. The nationwide mean score on the test was 94 and the standard deviation was 6.2. What percent of the tested population scored higher than Randy on the test? Round to the nearest whole percent.

Answers

Answer:

4% of the tested population scored higher than Randy on the test

Step-by-step explanation:

P(X>105) = normalcdf(105,1e99,94,6.2) = 0.0380155219 ≈ 0.038 ≈ 3.8% ≈ 4%

Therefore, about 4% of the tested population scored higher than Randy on the test.

HELP please!!!!!!!!!!!

Answers

Answer:

Step-by-step explanation:

30 points Someone help im very confused.
Which trigonometric function has a range that does not include a zero?
y=cosx
y=cotx
y=tanx
y=secx

Answers

Answer:

y=cotx

Step-by-step explanation:

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