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WINSTONCH [101]
2 years ago
6

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

Read more about hyperbola at:

brainly.com/question/27799190

#SPJ1

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