Answer:
Step-by-step explanation:
There is a y² term, so the parabola is horizontal.
Vertex-form equation for a horizontal parabola:
x = a(y-k)² + h, where (h,k) is the vertex
If a>0, then
the parabola opens to the right
focal length p = 1/(4a)
focus (h+p,k)
directrix: x=h-p
endpoints of latus rectum: (h+p,k±2p)
Put equation into vertex form.
x = (1/12)y²
vertex (0,0)
focal length p = 1/(4·1/12) = 3
focus (0+p,0) = (3,0)
directrix: x = 0-p = -3
endpoints of latus rectum: (3,±6)
Answer:
m=11
Step-by-step explanation:
The area of the new rug is
x² + 2x - 15
Since
A = l x w
The new rug is 3 in shorter than her old rug, so we divide the area by (x - 3)
(x² + 2x - 15) / (x - 3)
By factoring
(x - 3)(x + 5) / (x - 3)
Cancelling out terms
x + 5
The width is 5 inches wider