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

the process of dark adaption happens more quickly for _____ which can adjust to lower lighting in about _____ minutes A. cones, 10 B. rods, 10 C. Cones 45 D
A document may wordwrap differently depending on the type of printer being used. True False
PLEASE HELP ASAP!!! CORRECT ANSWER ONLY PLEASE!!! The items labeled 6 are examples of what part of a graph? A. Data points B. Tick marks C. Independent variable
6.a I’m a bit confused
To which branch of the government does the power to interpret laws and apply the constitution to the law belong ?
18-2(3+4) how do I solve this problem?
Please help!!!!!!!!!!!!!!!!!!!!!
Can someone helper please?
Determining the Axis of Symmetry of Quadratic Functions Which functions have an axis of symmetry of x = –2? Check all that apply. f(x) = x2 + 4x + 3 f(x) = x2 –
How do I express 1/2 of the difference of a number cubed and one?