Answer:
1/8
Step-by-step explanation:
The lowest common multiple of 4 and 8 is 8.
1/4 = 2/8
3/8 - 1/4 = 3/8 - 2/8 = (3 - 2)/8 = 1/8
1/8 cannot be simplified further.
<span>2yz + 8
2*1*4+8
8+8
16......</span>
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)
Answer:
D
Step-by-step explanation:
D is the only graph where the shaded region is on 6 and less.
Answer:
25
Step-by-step explanation: