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2 years ago

Determine if

Mathematics

1 answer:

Gnesinka [82]2 years ago

7 0

The values of a and b are 1/4 and 1/5 respectively

<h3>How to determine the true statement?</h3>

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:

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

Rewrite 16x^2 - 25y^2 = 1 as

$\frac{x^2}{1/16} - \frac{y^2}{1/25} = 1$

By comparison, we have:

$a^2 = \frac{1}{16}$

$b^2 = \frac{1}{25}$

Solve for a and b

$a = \frac{1}{4}$

$b = \frac{1}{5}$

Hence, the values of a and b are 1/4 and 1/5 respectively

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