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:
30 students
Step-by-step explanation:
24 over 80 is equal to x over 100
cross multiply and you get
80x =240
divide 80 on both sides
you get 3
add an extra sero
Answer:
8
Step-by-step explanation:
360 divided by 45 is 8 calories per minute
Answer:
3/8 is the probability
Step-by-step explanation:
Answer:
1) B- Substitution
2) C- Elimination
3) A- Graphing
Step-by-step explanation:
1)
x+3y=7
5x+11y=3
x = 7 - 3y
Plug this x into the second equation and solve for y first
2)
5x-3y=3 --> (1)
2x+7y=6 --> (2)
Since making any variable the subject would involve fractions, it's better to go for elimination
7(1) + 3(2)
would eliminate y
3)
While comparing cost and adjusting choices, a graph is a better approach because all the possibilities are right in front