Answer: 24
A hyperbola is the locus of a point in a plane which moves in the plane in such a way that the ratio of its distance from a fixed point in the same plane to its distance from a fixed line is always constant, which is always greater than unity.
the fixed point is called the focus and the fixed line is directrix and the ratio is the eccentricity.
The general equation for the vertical hyperbola is
[ (y-k)^2 / a^2 ] – [ (x-h)^2 / b^2 ] = 1
The conjugate axis of the vertical hyperbola is y = k
Length of the conjugate axis = 2b
According to the question k = 2, h = -1, a = 4, b = 12
Length of the conjugate axis = 2b = 2 * 12 = 24
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Answer:
length l = 32.25 m
width w = 8223.75 m
height h = 12.5 m
diagonal d = 8223.82273 m
total surface area Stot = 736831.875 m2
lateral surface area Slat = 206400 m2
top surface area Stop = 265215.938 m2
bottom surface area Sbot = 265215.938 m2
volume V = 3315199.22 m3
Step-by-step explanation:
Answer:
Step-by-step explanation:
from the graph of f(x)
when x=1,f(x)=0
or f(1)=0
when f(x)=2,x=2
for g(x)
when x=6,g(x)=16
or g(6)=16
when g(x)=18,x=32
for h(x)
when x=14
h(x)=27x-7
h(14)=27×14-7=7(27×2-1)=7(54-1)=7×53=371
h(x)=-493
27x-7=-493
27 x=-493+7=-486
3 x=-54
x=-18
for p(t)
when t=94
p(t)=24
p(94)=24
p(t)=67
t=31
Answer:
30 square feet.
Step-by-step explanation:
We have to find the main area of the rectangle to determine the changes.
We know, Area of a rectangle = Length × Width
Given,
Length = 12 feet
Width = 5 feet
Therefore, the area of the rectangle = (12 × 5) Square feet.
The area of the rectangle = 60 square feet.
Now, if the length of the rectangle increased by 25%, the new length would be = 12 feet (12 feet × 25%) = 12 feet + 3 feet = 15 feet.
If the width increased by 20%, the latest width would be = 5 feet + (5 feet × 20%) = 5 feet + 1 foot = 6 feet.
The new area of that rectangle = (15 × 6) square feet = 90 square feet.
The changes of area from the previous rectangle is = (90 - 60) square feet = 30 square feet.