Answer:
The shorter side piece of fabric = x = 8 feet
The longer side piece of fabrics = (x + 2) = 10 feet
Step-by-step explanation:
Total yards of fabrics = 6 yards
you need to cut it in two pieces where one is two feet longer than the other.
First piece= x feet
Second piece= x+2 feet
Convert 6 yards to feet
6 yards = 18 feet
First piece + second piece = total piece of fabrics
x + (x+2) = 18
x + x + 2 = 18
2x + 2 = 18
2x = 18 - 2
2x = 16
Divide both sides by 2
x = 16 / 2
x = 8 feet
8 feet = 2.66667 yards
x + 2
= 8 + 2
= 10 feet
10 feet = 3.33333 yards
The shorter side piece of fabric = x = 8 feet
The longer side piece of fabrics = (x + 2) = 10 feet
Answer:
y²=4√2.x
Step-by-step explanation:
The focus is at (0,4) and directrix is y=x or x-y =0, for a parabola P.
The distance between the focus and the directrix of the parabola P is
=
{Since the perpendicular distance of a point (x1, y1) from the straight line ax+by+c =0 is given by }
Let us assume that the equation of the parabola which is congruent with parabola P is y²=4ax
{Since the parabola has vertical directrix}
Hence, the distance between focus and the directrix is 2a = , {Two parabolas are congruent when the distances between their focus and the directrix are same}
⇒ a=√2
Therefore, the equation of the parabola is y²=4√2.x (Answer)