1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Stolb23 [73]
3 years ago
9

Is the given point interior, exterior, or on the circle (x + 2)2 + (y - 3)2 = 81?S(-2, 12)

Mathematics
2 answers:
Tasya [4]3 years ago
7 0

Answer:

S(-2, 12) lies on the circle

Step-by-step explanation:

Given : Equation of circle : (x + 2)^2 + (y - 3)^2 = 81

           Point: S(-2, 12)

To Find: Is the given point interior, exterior, or on the circle

Solution :

After substituting the values,

If L.H.S of the given equation is less than R.H.S , So, the given point is interior.

If L.H.S of the given equation is greater than R.H.S , So, the given point is exterior.

If L.H.S =R.H.S , So, the given point is on the circle.

(-2 + 2)^2 + (12 - 3)^2 = 81

(0)^2 + (9)^2 = 81

81 = 81

Thus  L.H.S =R.H.S

Hence the given point S(-2, 12) lies on the circle (x + 2)^2 + (y - 3)^2 = 81

Georgia [21]3 years ago
3 0
(x + 2)² + (y - 3)²<span> = 81
x=-2, y=12

(-2 + 2)</span>² + (12-3)² = 81
0² + 9² = 81
81 = 81

The given point S(-2, 12) is <span>on the circle</span>
You might be interested in
Using the simple random sample of weights of women from a data​ set, we obtain these sample​ statistics: nequals45 and x overbar
Tomtit [17]

Answer: (141.1, 156.48)

Step-by-step explanation:

Given sample statistics : n=45

\overline{x}=148.79\text{ lb}

\sigma=31.37\text{ lb}

a) We know that the best point estimate of the population mean is the sample mean.

Therefore, the best point estimate of the mean weight of all women = \mu=148.79\text{ lb}

b) The confidence interval for the population mean is given by :-

\mu\ \pm E, where E is the margin of error.

Formula for Margin of error :-

z_{\alpha/2}\times\dfrac{\sigma}{\sqrt{n}}

Given : Significance level : \alpha=1-0.90=0.1

Critical value : z_{\alpha/2}=z_{0.05}=\pm1.645

Margin of error : E=1.645\times\dfrac{31.37}{\sqrt{45}}\approx 7.69

Now, the 90% confidence interval for the population mean will be :-

148.79\ \pm\ 7.69 =(148.79-7.69\ ,\ 148.79+7.69)=(141.1,\ 156.48)

Hence, the 90​% confidence interval estimate of the mean weight of all women= (141.1, 156.48)

3 0
3 years ago
Given the data set (200, 150, 325, 350, 100, 75), Find the range of the data set
andriy [413]
The range is just the distance between the biggest number
and the smallest one.

The biggest number on that list is  350 .
The smallest number on that list is  75 .

The range is from  75 to 350, or a distance of  275 .
4 0
2 years ago
How to simplify 1 over 10 times 4 over 10
seropon [69]
1/10 * 4/10 = 4/100 divide both by 4 it'll be 1/25
5 0
3 years ago
How far from the base of the house do you need to place a 15’ ladder so that it exactly reaches the top of a 12’ wall?
FromTheMoon [43]

Answer:

3' away

Step-by-step explanation:

8 0
2 years ago
Read 2 more answers
You pay $20 for 4 cups of coffee. What is theunit rate?
7nadin3 [17]

Answer: The unite rate is $5 per cup of coffee.

Step-by-step explanation:

20/4= 5

4 0
3 years ago
Read 2 more answers
Other questions:
  • Algebra unit 4 lesson 4 Solving Multi Step Inequalities
    15·2 answers
  • Find cos(sin-1(3/5))
    10·1 answer
  • 2. Kim is x years old. Jordan is 7 years older than Kim. Four times Jordan’s age is equal to 200. (a) Write an equation that cou
    8·2 answers
  • What is 1.036 that add up to 4
    15·2 answers
  • What is an equation of the line that passes through the points (3,1) and (4,4)?
    11·2 answers
  • What is 3(x-5)-14=2(x-7)+2
    8·1 answer
  • Please help will name brainlyest
    8·1 answer
  • 29867+14938 plz i need help
    15·2 answers
  • The height of an arrow is shot upward at an initial velocity of 40 meters per second can be modeled by h=40t-5t^2 where h is the
    7·1 answer
  • [Will Mark Brainliest]
    13·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!