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:
$3.23
Step-by-step explanation:
1.71 ÷ 18 = 0.095 = 9.5%
9.5% × 34 = 3.23
Answer:
4.000
Step-by-step explanation:
Answer:
Step-by-step explanation:
Start
<F = <Q Given
<GPF = <RPQ Vertically opposite angles
<FGP = <QRP A triangle has 180 degrees. 2 equal angles means the third pair must be equal
Triangle GPF ~ Triangle RPQ AAA
end
I don't see any way to make these triangles similar except by stating the statement and why it is so. There really are no yes / no choices. If you get another answer, choose it.
20
JL/LE = 90/27 Given
KL /LD = 90/27 Given
<JLK = <DLK Vertically opposite
Are the ratios equal Yes Then is the angle included Yes
Then the triangles are similar.
Are the ratios not equal No then the triangles cannot be similar
Is the angle not included Then similarity cannot be proved.
ΔJLK ≈ ΔDLK Equal Ratios and included angle === similarity
