The values of a and b are 1/4 and 1/5 respectively
How to determine the true statement?
The function is given as:
16x^2 - 25y^2 = 1
The above function is a horizontal hyperbola.
A horizontal hyperbola that passes through the origin is represented as:
[tex]\frac{x^2}{a^2} - \frac{y^2}{b^2} = 1[/tex]
Rewrite 16x^2 - 25y^2 = 1 as
[tex]\frac{x^2}{1/16} - \frac{y^2}{1/25} = 1[/tex]
By comparison, we have:
[tex]a^2 = \frac{1}{16}[/tex]
[tex]b^2 = \frac{1}{25}[/tex]
Solve for a and b
[tex]a = \frac{1}{4}[/tex]
[tex]b = \frac{1}{5}[/tex]
Hence, the values of a and b are 1/4 and 1/5 respectively
Read more about hyperbola at:
https://brainly.com/question/27799190
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