The standard form of hyperbola is:
(x-h)²/a²-(y-k)²/b²=1
center:(4,5)
Length of the horizontal transverse axis: 8-5=3=2a
thus
a=3/2
a²=9/4
b=2
b²=4
Hence the equation will be:
(x-4)²/(9/4)-(y-5)²/4=1
simplifying this we get:
[4(x-4)²]/9-(y-5)²/4=1
Answer:
300 units^3 or 96π
Step-by-step explanation:
Volume of the cone would be:
Because the formula of finding the volume of cone is
V = πr^2 * h/3
r is the radius of the base
h is the height of the cone
π is Pi, approximately 3.142 and it is the circumference of any circle divided by its diameter
V is volume
So in this case:
V = πr^2 * h/3
V = π * 6^2 * 8/3
V = π * 36 * 8/3
V = 96π or 301.44 and round it up to 300 units^3
Hope this help :3
Answer:30%
Step-by-step explanation:
Distribute the 9 to each term in the parentheses with multiplication.
9(3 + x) = 27 + x
But this is usually written as x + 27
