Mathematics: Quick Find the mean of this data set: 593, 580, 544, 434, 420, 398, 390, 375 A.427 B.420 C.564 D.394

Quick Find the mean of this data set: 593, 580, - id593580547984787, brandiewilliams12567

tali2561

01.04.2020

$\frac{x^{2} }{49}-\frac{y^{2} }{16}=1$ is the equation of hyperbola.

Step-by-step explanation:

Given:

Vertices of the hyperbola: (-7,0) and (7,0)

Co-vertices of the hyperbola: (0,-4) and (0,4)

Mid-point of the vertices = center of hyperbola = (0,0)

Focii lie on the same line as vertices and hence they lie on x-axis.

Here x-axis is the tranverse axis and y-axis is the conjugate axis.

length of semi-transverse axis = a = 7

length of semi-conjugate axis = b = 4

Equation of hyperbola is of the form:

$\frac{x^{2} }{a^{2} }-\frac{y^{2} }{b^{2} }=1$

Substituting a = 7 and b = 4 we get:

$\frac{x^{2} }{49}-\frac{y^{2} }{16}=1$

$16x^{2} -49y^{2}=784$

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