Answer:
(f-g)(x) = -x² +4x +6
Step-by-step explanation:
We assume you want to find (f -g)(x).
Answer:
The volume of the dilated prism is 
.
Step-by-step explanation:
The original prism has base area 
and a height of 
.
The volume of the original prism is 
.
The prism is dilated by a scale factor of 
.
To find the volume of the dilated prism, we multiply the volume of the original prism by 
.
Answer:
centre = (- 3, - 2) , radius = 1
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 + 6x + y² + 4y + 12 = 0 ( subtract 12 from both sides )
x² + 6x + y² + 4y = - 12
Use the method of completing the square on the x and y terms
add ( half the coefficient of the x/ y terms )² to both sides
x² + 2(3)x + 9 + y² + 2(2)y + 4 = - 12 + 9 + 4
(x + 3)² + (y + 2)² = 1 ← in standard form
with centre = (- (- 3), - (- 2)) and r² = 1, that is
centre = (- 3, - 2) and radius = 1
