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](https://tex.z-dn.net/?f=%5Cfrac%7Bx%5E2%7D%7Ba%5E2%7D%20-%20%5Cfrac%7By%5E2%7D%7Bb%5E2%7D%20%3D%201)
Rewrite 16x^2 - 25y^2 = 1 as
![\frac{x^2}{1/16} - \frac{y^2}{1/25} = 1](https://tex.z-dn.net/?f=%5Cfrac%7Bx%5E2%7D%7B1%2F16%7D%20-%20%5Cfrac%7By%5E2%7D%7B1%2F25%7D%20%3D%201)
By comparison, we have:
![a^2 = \frac{1}{16}](https://tex.z-dn.net/?f=a%5E2%20%3D%20%5Cfrac%7B1%7D%7B16%7D)
![b^2 = \frac{1}{25}](https://tex.z-dn.net/?f=b%5E2%20%3D%20%5Cfrac%7B1%7D%7B25%7D)
Solve for a and b
![a = \frac{1}{4}](https://tex.z-dn.net/?f=a%20%3D%20%5Cfrac%7B1%7D%7B4%7D)
![b = \frac{1}{5}](https://tex.z-dn.net/?f=b%20%3D%20%5Cfrac%7B1%7D%7B5%7D)
Hence, the values of a and b are 1/4 and 1/5 respectively
Read more about hyperbola at:
brainly.com/question/27799190
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Answer:
Step-by-step explanation:
Answer:
732,36
Step-by-step explanation:
899,99 x 0,75 = 674.9925
J = 674,9925 x 0,085 x 1
J = 57,37
TB = 674.99 + 57,37 = 732,36
Answer:
(I am assuming this is just approximation since there are no other numbers, just to be clear :))
Algebra: about 450 students
Geometry: about 250 students
Calculus: about 50 students
Answer: 64
Step-by-step explanation:
the Kids that answered correct in any of questions 1 and 2 got at least one right so subtract the highest number which is 81 students by all the general amount of them, 145 that’s 64.