Find the center and the radius of the circle x^2+y^2+6x-4y-12=0 show your work

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

To obtain this form use the method of completing the square on both the x and y terms

rearranging

x² + 6x + y² - 4y = 12

x² + 2(3)x + 9 + y² + 2(- 2)y + 4 = 12 + 9 + 4

(x + 3)² + (y - 2)² = 25 ← in standard form

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

the best buy, is the 4- kilogram bag of lollipops for $18.40.

step-by-step explanation:

i found my answer by dividing the cost of each bag by their respective weights.

14.88 divided by 2 = 7.44

17.29 divided by 3 = 5.77

18.4 divided by 4 = 4.6

24.4 divided by 5 = 4.88

by this, i found that the 4 kilo bag is the best buy.

529 and 531

step-by-step explanation: