samantha59223 samantha59223
  • 03-06-2019
  • Mathematics
contestada

the equation of a circle is x^2+y^2+6x-2y-15=0. find the center and radius of the circle.

Respuesta :

MathPhys
MathPhys MathPhys
  • 03-06-2019

Answer:

(-3, 1), 5

Step-by-step explanation:

x² + y² + 6x - 2y - 15 = 0

Rearrange:

x² + 6x + y² - 2y = 15

Complete the square:

x² + 6x + 9 + y² - 2y + 1 = 15 + 9 + 1

(x + 3)² + (y - 1)² = 25

Therefore, the center is (-3, 1) and the radius is 5.

Answer Link

Otras preguntas

After what happened on April 19 can war between the colonies and Great Britain be avoided?
which factor made the most difference in how agriculture affected the economies of the colonies?
Dominick lives 1 3/4 miles from his school.  If his mother drives him half the way, how far will Dominick have to walk to get to school?
What is the mean of 87, 93, 86, 90, and 84?
What is the mean of 87, 93, 86, 90, and 84?
What is biogeography and what does it provide?
The length of a diagonal of a cube with edge length 25cm
Which of the following organisms can perform alcoholic fermentation? (1) yeast, (2) humans, (3) bacteria. a. 1 and 2 b. 1 and 3 c. 1 only d. 1, 2, and 3
the cafeteria has 45 square  tables that can be pushed together to form one long table for the lacrosse team's banquet. Each square table can seat one person on
“The genetic code is universal.” Explain this statement.