Given :
The foci of hyperbola are (8,0) and (-8,0) .
The difference of the focal radii = 6.
To Find :
The equation of the hyperbola.
Solution :
We know, distance between foci is given by :
2c = 8 - (-8)
c = 8
Also, difference between the foci or focal distance is given by :
2a = 6
a = 3
Now, we know for hyperbola :
General equation of hyperbola is :
Hence, this is the required solution.
The point Q on a line segment with end points(2,1) and (4,2) is Q(12/5, -2/5)
<h3>What is a line segment?</h3>A line segment is a straight line that passes through two given points.
The end points of the line determine how long or short a given line segment would be.
Analysis:
point Q(x, y )
x =
y =
where M :N = 4:1
x1 = 2, x2 = 4, y1 = -1, y2 = 2
x = = 12/5
y = = -2/5
In conclusion, the point Q is (12/5, -2/5).
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Answer:
Step-by-step explanation:
From the question we are told that:
Rate
Height
Radius
Generally the equation for Volume of Cone is mathematically given by
Differentiating