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
nignag [31]
3 years ago
11

The points A-1,-9) and K(5,1) are endpoints of a diameter of circle 5. Which equation represents circle S?

Mathematics
1 answer:
Lilit [14]3 years ago
4 0

Answer:

A

Step-by-step explanation:

if (x1,y1) and (x2,y2) are the extremities of diameter,then eq. of circle is

(x-x1)(x-x2)+(y-y1)(y-y2)=0

reqd. eq. is (x+1)(x-5)+(y+9)(y-1)=0

x^{2} +x-5x-5+y^2+9y-y-9=0\\x^{2} -4x+y^2+8y-14=0\\compare with x^2+y^2+2gx+2fy+c=0\\center (-g,-f) \\radius r=\sqrt{g^2+f^2-c}

center is (2,-4)

r=√(2²+(-4)²-(-14))

=√(4+16+14)

=√(34)

eq. of circle is (x-2)²+(y+4)²=34

or

(x²-4x)+(y²+8y)=14

(x²-4x+4)+(y²+8y+16)=14+4+16

(x-2)²+(y+4)²=34

You might be interested in
The sum of two numbers is 43, and their product is 450. What is their difference?​
kow [346]

Answer:

List the factors of 450

1,450

3,150

5,90

6,75

9,50

10,45

15,30

18,25

The factor with the sum of 43 is 18+25

25-18=7 so the difference is 7

hope this helps

Step-by-step explanation:

8 0
3 years ago
Read 2 more answers
Ebola has an Ro of 2. How<br> many third-wave cases can<br> doctors expect?
stellarik [79]

Answer:

4 I guess

Step-by-step explanation:

Because

3-1=2

2^2=2*2=4

4 0
3 years ago
Rearrange the equation so n is the independent variable.<br> m+1=-2(n+6)<br> m=
S_A_V [24]

Answer:

m=-2n-13

Step-by-step explanation:

m+1=-2(n+6)

m+1=-2n-12

   -1.        -1

--------------------

m=-2n-13

4 0
3 years ago
Read 2 more answers
Look at the figures. How can you prove these triangles are congruent?
Novosadov [1.4K]

Answer:

A. \Delta ABC\cong \Delta DEF by the SAS postulate.

Step-by-step explanation:

We have been two triangles. We are asked to determine the theorem by which both triangles could be proven congruent.

We can see that side DF of triangle DEF is equal to side AC of triangle ABC.

We can also see that side BC of triangle ABC is equal to side EF of triangle DEF.

The including angle between sides AC and BC of triangle ABC is equal to the including angle between sides DF and EF of triangle DEF.

Since both triangles have two sides and their included angles equal, therefore, triangle ABC is congruent to triangle DEF by SAS (Side-Angle-Side) congruence and option A is the correct choice.

5 0
3 years ago
Which sample fairly represents the population? Check all that apply. measuring the heights of every fiftieth person on the schoo
solniwko [45]
Option 1:

<span>Measuring the heights of every fiftieth person on the school roster to determine the average heights of the boys in the school
</span>
Comment: this might not be a good idea for fairness as we only wish to determine average height of the boys. Taking a group of 50 people randomly, might not give us the same number of boys every time.

Option 2: 

<span>Calling every third person on the soccer team’s roster to determine how many of the team members have completed their fundraising assignment 

Comment: The context doesn't seem to need a sampling. The number of players in a soccer team is considerably small. We can find exact data by asking in person.

Option 3:
</span><span>
Observing every person walking down Main Street at 5 p.m. one evening to determine the percentage of people who wear glasses
</span>
Comment: To get a more accurate result and fairer sampling, the period of observing could have been longer, for example, observing for 12 hours on that day, or an alternative is to observe at 5 pm for 7 days in a row. It could happen that no one walking down the Main street precisely at 5 pm wears glasses, or it could happen the other way around.

Option 4: 

<span>Sending a confidential e-mail survey to every one-hundredth parent in the school district to determine the overall satisfaction of the residents of the town taking a poll in the lunch room (where all students currently have to eat lunch) to determine the number of students who want to be able to leave campus during lunch.

Comment: This sampling does fairly represent the population, although it might be an idea to scale down the sample population, i.e. every fiftieth parent. 

Answer: Option 4</span>
5 0
3 years ago
Read 2 more answers
Other questions:
  • Please answer photo below thank you :’)
    12·2 answers
  • Round the number 157 to the nearest tens plce
    9·1 answer
  • Given f(x)= 8x^{15}+6x^{8}-3x^{3}+5x^{2}, the degree is
    14·1 answer
  • A flagpole casts a shadow that is 85 feet long. Paul is 6 feet tall, and while standing next to the flagpole, casts a shadow tha
    7·1 answer
  • Use the Polygon tool to draw the image of the given quadrilateral under a dilation with a scale factor of 34 and center of dilat
    6·1 answer
  • Expand the expression.<br> -7(k - 3)<br> -7k + 21<br> -k – 21<br> k+ 21<br> -7k - 21
    6·1 answer
  • Solve for x<br> 7.8<br> 6.6<br> 3.6<br> 3
    6·1 answer
  • For the data set 62, 73, 74, 75, 76, the mean is 72. What is the mean absolute deviation?
    9·2 answers
  • At the grand opening of a movie theater, every 12th customer received a free bag of popcorn and every 30th customer received a f
    12·1 answer
  • Please answer This Just Try Don't skip​
    15·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!