Answer:
(x + 1)² + (y + 3)² = 16
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 + 2x + 6y - 6 = 0
Collect the x and y terms together and add 6 to both sides
x² + 2x + y² + 6y = 6
To complete the square
add ( half the coefficient of the x/ y terms )² to both sides
x² + 2(1)x + 1 + y² + 2(3)y + 9 = 6 + 1 + 9
(x + 1)² + (y + 3)² = 16
with centre = (- 1, - 3) and r =
= 4
1 one is the answer
2 is the answer either
all the equations are in it's simeplest form
80, 50 times 9.90 is 495 and 80 times 5.30 is 424, 424 + 495 = 919
For this problem you'll get a number, find it's opposite and sum 96 to it. The equation used will be:
x = -x + 96
Where:
x = a number
-x = the opposite of x
So:
x = -x + 96
x + x = 96
2x = 96
x = 96 / 2
x = 48
And now, if you do the sum to prove your answer:
48 - 96 = -48
Answer:

Hope it helped,
BioTeacher101