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
zloy xaker [14]
2 years ago
6

find the coordinates for the center of a circle with a diameter having endpoints at (0,2) and (-9,-2)

Mathematics
1 answer:
Fittoniya [83]2 years ago
7 0

Answer:

(x−2)2+(y+1)2=100

Explanation:

the standard form of the equation of a circle is  

2 2 ( x − a ) 2 + ( y − b ) 2 = r 2 2 2  where  ( a , b )  are the coordinates of the center and r is  the radius  to find the center we require the  midpoint of the  2 given points  center  = [ 1 2 ( − 4+ 8 ) , 1 2 ( 7 − 9 ) ]  center = ( 2 , − 1 )  the radius is the distance from the center to either of  the 2 given points  calculate the radius using the  distance formula ∙  d = √ ( x2 − x 1 ) 2 + ( y 2 − y 1 ) 2  let  ( x 1 , y 1) = ( 2 , -1 )  and  ( x 2 , y 2 ) = ( − 4 , 7 ) r = √ = √ ( − 4 − 2 ) 2 + ( 7 + 1 ) 2 = √ 36 + 64 = 10 ⇒ ( x − 2 ) 2 + ( y − ( − 1 ) ) 2 = 10 2 ⇒ ( x − 2 )2 + ( y + 1 ) 2 = 100 ←  equation of circle

You might be interested in
Express each quotient in the simplest form. 20xy^3/6z divided by 2xy/18z^5
Galina-37 [17]
\dfrac{20xy^3}{6z}:\dfrac{2xy}{18z^5}=\dfrac{10xy^3}{3z}:\dfrac{xy}{9z^5}=\dfrac{10xy^3}{3z}\cdot\dfrac{9z^5}{xy}\\\\=\dfrac{10xy^3}{z}\cdot\dfrac{3z^5}{xy}=10y^2z^4\\\\\text{used:}\\ a^n\cdot a^m=a^{n+m}\\\\\dfrac{a^n}{a^m}=a^{n-m}
3 0
3 years ago
What is the value of the expression 5/6 divided by 1/8
Vera_Pavlovna [14]
=20/3
I hope I helped!
Happy new years,
Cheers,
Mabel L.
3 0
3 years ago
Read 2 more answers
0.5 km = M <br><br> Pls help me!!
Fudgin [204]

Answer:

500

Step-by-step explanation:

8 0
3 years ago
Read 2 more answers
A football team won 8 more games than they lost. They played 24 games in the season. How many games were won and how many were l
Vaselesa [24]

The team lost n games.

The team won 8 more games than it lost, so it won n + 8.

The total number of games the team played was n + n + 8, or 2n + 8.

The team played a total of 24 games, so

2n + 8 = 24

We now solve for n.

2n + 8 = 24

2n = 16

n = 8 (lost games)

n + 8 = 8 + 8 = 16 (won games)

Answer: The team won 16 games and lost 8 games.

5 0
3 years ago
At the bake sale the students earned $48.81. If there were 3 students how much did each student earn
Contact [7]

Answer:

Each student earned $16.27.

Step-by-step explanation:

48.81 / 3 = 16.27

5 0
3 years ago
Read 2 more answers
Other questions:
  • If the ratio of areas of two similar polygons is 25:49 what is the ratio of the corresponding side lengths ?
    9·1 answer
  • Ce is the angle bisector of dcb and m
    10·1 answer
  • Name three coplanar points
    11·1 answer
  • A jar contains 20 green, 23 orange, 20 red, and 15 brown marbles. A marble is drawn at random. What is the probability that the
    6·2 answers
  • A factory manufactures a metal piece in 32 minutes. New technology allowed the factory to cut that time by 8%. Then another impr
    15·1 answer
  • Help MEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEE
    9·1 answer
  • 1. The perimeter of a rectangle is 36 inches (remember: perimeter is the sum of all the side
    10·1 answer
  • 4<br> Write an exponential decay<br> equation with a rate of 25% and<br> an initial value of 6.
    12·1 answer
  • If you are eligible to help can you help me please.!
    12·1 answer
  • Find the value of x if m || 1. mZ1 = 2x + 44 and m25=5x+ 38. The diagram is not to scale
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!