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

Which object would most likely have rotational symmetry? a sign shaped like an arrow a bicycle wheel an elephant an airplane
How long was prehistory vs. history? (I also don't understand the sentence as well)
Write each decimal as a fraction or mixed number in simplest form 6.04
A laboratory technician needs to make a 135​-liter batch of a 20​% acid solution. How can the laboratory technician combine a batch of an acid solution that is
someone please help me!
Select the correct answer from each drop-down menu. A car company wants to reduce the use of gas-fueled cars by introducing and promoting the use of electric ca
When a strip of zinc metal is added to a test tube of hydrochloric acid, the liquid forms bubbles, and the test tube feels hot. The bubbles are a result of the
Choose the answer that is not a step in the conflict resolution process. A. define the conflict B. use “I” statements C. agree on a solution D. use “you”
what is the geometric mean of 28 and 14?
Sylvia is seriously injured when a tornado strikes, damaging her home, car, and leaving her unable to work for six months. Which insurance policy is she LEAST L