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

Help please with a cherry on top
Write √8 as a power of 2 .
Write an explanatory essay on the harmful effects of plastic packaging
HELP PLEEES ASAP i am so lost
What is the missing term? Please help me!
Please I need this ASAP I will give a lot of points if I get the right answer thank you
The diagram below represents the creation of a sugar solution by adding sugar to water then stirring the mixture. SUGAR WATER SUGAR SOLUTION Which of the follow
This piece of art is representative of what movement? A. Romantic B. rococo C. neoclassicism D. Baroque
What is: it is a frequent moving of bowel with watery stool​
Rewrite the following sentences using the correct form of 5. (a) Shakespeare .... (write ) many famous plays. (b) When Jack arrived home, Carol already ...... (