4/3 x 84.78 but i am not sure hope you get it right :) <3
Answer:
![y = \frac{3}{4} x \: \: and \: \: y = - \frac{3}{4} x](https://tex.z-dn.net/?f=y%20%3D%20%20%5Cfrac%7B3%7D%7B4%7D%20x%20%5C%3A%20%20%5C%3A%20and%20%5C%3A%20%20%5C%3A%20y%20%3D%20%20-%20%20%5Cfrac%7B3%7D%7B4%7D%20x)
Step-by-step explanation:
The given hyperbola has equation:
![\frac{ {x}^{2} }{16} - \frac{ {y}^{2} }{9} = 1](https://tex.z-dn.net/?f=%20%5Cfrac%7B%20%7Bx%7D%5E%7B2%7D%20%7D%7B16%7D%20%20-%20%20%20%5Cfrac%7B%20%7By%7D%5E%7B2%7D%20%7D%7B9%7D%20%20%3D%201)
The equations of asymptotes of the hyperbola.
![\frac{ {x}^{2} }{ {a}^{2} } - \frac{ {y}^{2} }{ {b}^{2} } = 1](https://tex.z-dn.net/?f=%20%5Cfrac%7B%20%7Bx%7D%5E%7B2%7D%20%7D%7B%20%7Ba%7D%5E%7B2%7D%20%7D%20%20-%20%20%5Cfrac%7B%20%7By%7D%5E%7B2%7D%20%7D%7B%20%7Bb%7D%5E%7B2%7D%20%7D%20%20%3D%201)
is
![y = \pm \: \frac{b}{a} x](https://tex.z-dn.net/?f=y%20%3D%20%20%5Cpm%20%5C%3A%20%20%5Cfrac%7Bb%7D%7Ba%7D%20x)
Comparing the given equation to the standard equation of the hyperbola we have:
![\frac{ {x}^{2} }{ {4}^{2} } - \frac{ {y}^{2} }{ {3}^{2} } = 1](https://tex.z-dn.net/?f=%20%5Cfrac%7B%20%7Bx%7D%5E%7B2%7D%20%7D%7B%20%7B4%7D%5E%7B2%7D%20%7D%20%20-%20%20%5Cfrac%7B%20%7By%7D%5E%7B2%7D%20%7D%7B%20%7B3%7D%5E%7B2%7D%20%7D%20%20%3D%201)
This implies that:
a=4 and b=3
The asymptote equations are:
![y = \pm \frac{3}{4}x](https://tex.z-dn.net/?f=y%20%3D%20%20%5Cpm%20%5Cfrac%7B3%7D%7B4%7Dx%20)
Or
![y = \frac{3}{4} x \: \: and \: \: y = - \frac{3}{4} x](https://tex.z-dn.net/?f=y%20%3D%20%20%5Cfrac%7B3%7D%7B4%7D%20x%20%5C%3A%20%20%5C%3A%20and%20%5C%3A%20%20%5C%3A%20y%20%3D%20%20-%20%20%5Cfrac%7B3%7D%7B4%7D%20x)
<h2>
Answer:</h2><h2>Bethany started het homework at 3.05 PM approx 3 PM.</h2>
Step-by-step explanation:
The number of problems completed by Bethany = 25
The time taken to complete 1 problem = 3 minutes
The time taken to complete 25 problems = 25 * 3 = 75 minutes
Bethany finished her math homework at 4:20 p.M.
So she started 75 minutes 4.20 PM, (i.e) 3.05 PM or
approx around 3 PM.
Answer:
A. 10 times
Step-by-step explanation:
Answer:
4/5=30
3/10=30
Step-by-step explanation: