Find the circle and radius of circle at x^2 +y^2 +10x - 6y + 14=0

see explanation

Step-by-step explanation:

The equation of a circle in standard form is

(x - h)² + (y - k)² = r²

where (h, k ) are the coordinates of the centre and r is the radius

Given

x² + y² + 10x - 6y + 14 = 0 ( collect the x/ y terms together and subtract 14 from both sides )

x² + 10x + y² - 6y = - 14

Using the method of completing the square

add ( half the coefficient of the x/ y terms )² to both sides

x² + 2(5)x + 25 + y² + 2(- 3)y + 9 = - 14 + 25 + 9

(x + 5)² + (y - 3)² = 20 ← in standard form

with centre = (- 5, 3 ) and r = = 2

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if you're asking about your rank, it depends on having a certain number of points and a certain number of brainliest answers. for example, at the time of this writing, i have 44338 points out of 15000 needed for the next (nearly triple the requirement! ) but i only have 24 out of 50 required brainliest answers. this number decays, meaning after a certain amount of time (i think about a month), the total number of brainliest answers you've earned doesn't count toward this total. (i've been stuck at the same rank for a long

the lesson to learn here is that you shouldn't worry about points or rank. chances are, no matter how good an answer you may provide, your efforts will go mostly unnoticed unless you focus on the newest/most active questions that get posted.