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
9514 1404 393
Answer:
y = 1/2x -2
Step-by-step explanation:
The given equation is in slope-intercept form, so you recognize its slope is -2. The perpendicular line will have a slope that is the opposite reciprocal of that, so is -1/-2 = 1/2.
The y-intercept can be found from ...
b = y -mx . . . . . for line of slope m through point (x, y)
b = -1 -(1/2)(2) = -1 -1 = -2
Then the slope-intercept equation of the perpendicular line is ...
y = 1/2x -2
I would go with B.
Hope this helps you buddy! :>
Answer:
£1372
Step-by-step explanation
20% vat:
- 20% of 15,600 is 3120
- 3120+15,600= 18720
so if she paid a deposit of 5000 she would have a remaining amount of 13,720 in total
13720 divided by 10 equals 1372 so her 10 payments would be £1372