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
Korvikt [17]
3 years ago
9

What is the equation of the circle with center (−3, 1) that passes through the point (−5, 3)?

Mathematics
1 answer:
Mariulka [41]3 years ago
6 0

Answer:

( x + 3)^2 + ( y - 1)^2 = 8

Step-by-step explanation:

The equation of a circle with a center and a point

( x - a) ^2 + ( y - b) ^2 = r^2

( x , y) - any point on the circle

( a, b) - center of the circle

r^2 - radius of the circle

( -3 , 1) - center - ( a, b)

a = -3

b = 1

( -5 , 3) - point - ( x, y)

x = -5

y = 3

Step 1: substitute the center into the equation

( x -(-3)^2 + ( y - 1)^2 = r^2

( x + 3)^2 + ( y - 1)^2 = r^2

Step 2 : sub the point into the equation

( x + 3)^2 + ( y - 1)^2 = r^2

( -5 + 3)^2 + ( 3 - 1)^2 = r^2

(-2)^2 + 2^2 = r^2

4 + 4 = r^2

8 = r^2

Step 3 : sub the radius into the equation

( x + 3)^2 + ( y - 1)^2 = r^2

( x + 3)^2 + (y - 1)^2 = 8

Therefore, the equation of the circle is

( x + 3)^2 + (y - 1)^2 = 8

You might be interested in
A rectangle has an area of (12m-30n) square units. Its width is 6 units. Factor the expression for the area to find an expressio
garik1379 [7]

Answer: 2m - 5n

<u>Explanation:</u>

Using long division

  <u>    2m - 5n  </u>

6 ) 12m - 30n


width*length = area

6(2m - 5n) = 12m - 30n


5 0
3 years ago
Help please me ! 10 pts and
andre [41]
The answer is -6
So you need to drop the word sum on -6
6 0
3 years ago
Read 2 more answers
Points + brainliest :)))))))))))))))))00
Musya8 [376]
What is popping mY gUy
8 0
3 years ago
Read 2 more answers
In triangle ABC, the measure of angle A is 48° and the measure of angle C is 24°. What type of triangle is triangle ABC?
Fed [463]

Answer:108 degrees

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
What is -9-2(7-1) simplified??? please i really need help FAST
mamaluj [8]

Answer:

-21

Step-by-step explanation:

8 0
3 years ago
Other questions:
  • In 1983, a pair of jeans cost $66.35. If a pair of jeans costs $118.10 today, what is the CPI?
    14·2 answers
  • Which expression is equivalent to (7×-5) - (3x-2)​
    12·1 answer
  • After 56 cans of soup were sold, a clerk moved the remaining cans to a display
    9·1 answer
  • Select all that apply.
    9·2 answers
  • How to write 710,200 in word form
    13·2 answers
  • Find the value of x. Then find the measure of each labeled angle.<br> (9x - 10)<br> (5x + 38)
    7·1 answer
  • Christopher is trying to make extra money on his summer vacation from school. He
    10·1 answer
  • Determine the value of x.
    9·2 answers
  • Please help me solve this 1/8 in.= 10 mi. 1 1/8 in.= ____ mi.
    9·1 answer
  • Nick and his family traveled by train to New York City. The clocks show when the train left the station and when it arrived in N
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!