Answer:
Step-by-step explanation:
=
12
x
3
−
40
x
2
+
42
x
−
20 Is your answer
Answer:
96 in. squared
Step-by-step explanation:
Answer:
The equation is ( x² / 9 ) - ( y² / 7 ) = 1
Step-by-step explanation:
Given the data in question;
hyperbola is centered at the origin, this means h and k are all equals to 0.
Vertices: (-3,0) and (3,0)
Since y-coordinates are constant, this implies it is a hyperbola with horizontal transverse axis.
h - a = -3
0 - a = -3
a = 3
Foci: (-4,0) and (4,0)
h - c = -4
0 - c = -4
c = 4
we know that, for a hyperbola
c² = a² + b²
so
⇒ ( 4 )² = ( 3 )² + b²
16 = 9 + b²
b² = 16 - 9
b² = 7
So the equation for the hyperbola will be;
⇒ ( (x-h)² / a² ) - ( (y-k)² / b² ) = 1
so we substitute
⇒ ( (x-0)² / 3² ) - ( (y-0)² / 7 ) = 1
⇒ ( x² / 3² ) - ( y² / 7 ) = 1
⇒ ( x² / 9 ) - ( y² / 7 ) = 1
Therefore, The equation is ( x² / 9 ) - ( y² / 7 ) = 1
We know that the volume of a cone is given by the following relation:
V = (pi * r^2 * h)/3
where r is radius and h is height of the cone
In our case, radius is diameter divide by 2:
V = (pi * (8/2)^2 * 10) / 3 = 167.55 cubic inches
So the container holds 167.55 cubic inches
Step-by-step explanation:
x^3/2 y^1/2
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