Answer:
centre = (2, - 3 ) and radius = 5
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 - 4x + 6y - 12 = 0 ( add 12 to both sides )
x² + y² - 4x + 6y = 12 ( collect x/ y terms )
x² + 4x + y² + 6y = 12
using the method of completing the square
add ( half the coefficient of the x/ y terms )² to both sides
x² + 2(-2)x + 4 + y² + 2(3)y + 9 = 12 + 4 + 9
(x - 2)² + (y + 3)² = 25 ← in standard form
with (h, k ) = ( 2, - 3 ) and r = 
= 5
This would just be 7 1/5 + 3/5 since the negative sign gets distributed and makes (-3/5) into a positive number.
From there you have basic math and you get 7 4/5.
Answer: C. 2
Step-by-step explanation:
Slope is calculated by y2-y1 over x2-y1. If we plug the numbers in we will get 6 over 3 as our slope which simplifies to our answer 2.
A.900/10=90 therefore, 10% of the garden will be covered moss roses so that transfers to 90 square feet
B.900 square feet is equal to 25% of the garden so 900x4=3600 therefore, the area of the yard in square feet could either be 30x120, 60x60, or 180x20
