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
jok3333 [9.3K]
3 years ago
10

The equation of circle having a diameter with endpoints (-2, 1) and (6, 7) is

Mathematics
1 answer:
Elden [556K]3 years ago
6 0

The center of the circle is the midpoint of the diameter.

The 'x' coordinate of the midpoint is  (1/2) (6 - 2) = 2
The 'y' coordinate of the midpoint is  (1/2) (7 + 1) = 4
The center of the circle is the point  (2, 4) .

The length of the diameter of the circle is the distance
between the endpoints of the diameter.

The distance between (-2, 1) and (6, 7) is

                              √ (8² + 6²)

                           = √ (64 + 36)

                           = √ 100  =  10 .

The radius of the circle is      1/2 of 10  =  5 .


Now, the equation of any circle is

        (x - [x of the center])² + (y - [y of the center])² = (radius)² .

and we have all the numbers now.

                    (x - 2)² + (y - 4)²  =  (5)² .

I'm very happy to see that this equation is actually
one of the choices !     I'll bet you are too.

You might be interested in
Find the nth term of the follwing sequences 7,13,19,25
oksian1 [2.3K]
n=1+6x
Hope this helps!
6 0
4 years ago
Read 2 more answers
you are drawing a map. two cities on the map are 7 inches apart. you know the actual distance between them is 1,750 miles. what
MakcuM [25]

Hello betzy166817!

The correct answer is: <u>250 miles per inch.</u>

You can multiply the number of inches on the map by 250 to find the number of miles.

#LearnWithBrainly

<u>brainly.com/question/19520943</u>

4 0
3 years ago
Simplify.... please help
atroni [7]
You answer should be B because you would flip the fraction so the powers would become positive and then take 3 from 5 to be left with 8^2 on the bottom with one on the top.
4 0
3 years ago
Read 2 more answers
A box has a base of 12 inches by 12 inches and a height of 30 inches. What is the length of the interior diagonal of the box? Ro
Butoxors [25]

This is a problem using the Pythagorean theorem.

The square of the length required is 122 + 122 + 302 = 1188

 

The length is the square root of this number; I will leave it to you to extract the square root.

3 0
3 years ago
Read 2 more answers
If there is 7018 mm, what is the metric unit for 7.018?
Allushta [10]
It's (m) Meters. Hope this helped you! (ノ◕ヮ◕)ノ*:・゚✧

4 0
3 years ago
Other questions:
  • I don’t know how to graph this can someone help me plz
    13·1 answer
  • The proper factors of 28 is??
    7·2 answers
  • PLEASE HELP !! WILL MARK !!
    8·1 answer
  • Hey can you please help me posted picture of question
    7·1 answer
  • Frank plans to spend no more than $85 on plants for his front garden. He purchases a salvia and three azaleas. The azaleas cost
    11·1 answer
  • Use parallelogram properties to find all variables.
    14·1 answer
  • Marcel and Gabby split £54 in the ratio 2:7. <br>How much money does Gabby get?​
    11·2 answers
  • A=1/2bh , solve for b
    13·2 answers
  • Two angles are supplementary if they add up to ?
    12·2 answers
  • A certain length measurement is performed 500 times. The mean value is 5.0m, and the standard deviation is 2cms. Assuming a norm
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!