Write the equation of the circle with center (3,-2), and passes through the point (0,2).

(x - 3)² + (y + 2)² = 25

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

The radius is the distance from the centre to a point on the circle

To calculate r use the distance formula

r = √(x₂ - x₁)² + (y₂ - y₁ )²

with (x₁, y₁ ) = (0, 2) and (x₂, y₂ ) = (3, - 2)

r = = = = 5

(x - 3)² + (y + 2)² = 25 ← equation of circle

g increases by 12.5%

Step-by-step explanation:

When a decrease in value by 10%, we have;

a- (10/100 * a) = a- 0.1a = 0.9a

b decreasing by 20%; we have

b - (20/100 * b) = b-0.2b = 0.8b

so we have the new value of g as;

0.9a/0.8b = 1.125b

‘Now, the difference this has with b is;

1.125b-b = 0.125

In percentage, we have this as 0.125 * 100 = 12.5%