kmp44
Dec 16, 2009, 10:58 AM
from data the average x-intercept of the path along which the sonic boom can be heard is -8 miles and the average focas is -12 miles,describe the hyperbola
galactus
Dec 16, 2009, 03:32 PM
from data the average x-intercept of the path along which the sonic boom can be heard is -8 miles and the average focas is -12 miles,describe the hyperbola
A hyperbola, like an ellipse, has an a and b value corresponding to the semi-major and semi-minor axes.
Center the hyperbola at the origin and it's focal axis is parallel to the x-axis.
We can find b by using b=\sqrt{c^{2}-a^{2}}
c is the distance of the foci from the origin and a is the distance of the vertex from the origin. These are given. Use those to find b.
Then, plug those values into the equation of a hyperbola \frac{x^{2}}{a^{2}}-\frac{y^{2}}{b^{2}}=1