Answer:
2,100 cubic feet
Step-by-step explanation:
20 × 15 × 8 = 2,400
20 × 15 × 1 = 300
2,400 - 300 = 2,100
The x coordinate of the vertex = -b/2a = -(-6) / 2*34 = 0.08824
y coordinate = 34(0.08824^2 - 6(0.08824) + 15 = 14.735
so its (0.088, 14.735) correct to 3 decimal places
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)
She burned 30 calories for each minute of jogging and 15 calories for each minute of cycling because 300 divided by 10 is 30 and 300 divided by 20 is 15