Expanded form- 300,000+4000+1 . In words, Three hundred and four thousand one.
Answer:
9 and -48 are in slope and y intercet has 48 and 432
Step-by-step explanation:
I do not have a explantion but I do 10th grade math
Answer:
its A.
Step-by-step explanation:
Answer:
65<x
Step-by-step explanation:
x would be your speed.
im not really sure, but i did see a similar question and that kinda helped.
Answer:
The equation of the hyperbola is:
![\frac{x^{2}}{76} - \frac{y^{2}}{12} = 1](https://tex.z-dn.net/?f=%5Cfrac%7Bx%5E%7B2%7D%7D%7B76%7D%20-%20%5Cfrac%7By%5E%7B2%7D%7D%7B12%7D%20%3D%201)
Step-by-step explanation:
The equation of a hyperbola centered in the origin in standard form is:
![\frac{x^{2}}{a^{2}}-\frac{y^{2}}{b^{2}} = 1](https://tex.z-dn.net/?f=%5Cfrac%7Bx%5E%7B2%7D%7D%7Ba%5E%7B2%7D%7D-%5Cfrac%7By%5E%7B2%7D%7D%7Bb%5E%7B2%7D%7D%20%3D%201)
The distance between both vertexes is equal to:
![2\cdot b = \sqrt{(0-0)^{2}+(\sqrt{12}+\sqrt{12})^{2}}](https://tex.z-dn.net/?f=2%5Ccdot%20b%20%3D%20%5Csqrt%7B%280-0%29%5E%7B2%7D%2B%28%5Csqrt%7B12%7D%2B%5Csqrt%7B12%7D%29%5E%7B2%7D%7D)
![2\cdot b = 2\cdot \sqrt{12}](https://tex.z-dn.net/?f=2%5Ccdot%20b%20%3D%202%5Ccdot%20%5Csqrt%7B12%7D)
![b = \sqrt{12}](https://tex.z-dn.net/?f=b%20%3D%20%5Csqrt%7B12%7D)
Now, the distance between any of the vertexes and origin is:
![c = \sqrt{(0-0)^{2}+[(4-(-4)]^{2}}](https://tex.z-dn.net/?f=c%20%3D%20%5Csqrt%7B%280-0%29%5E%7B2%7D%2B%5B%284-%28-4%29%5D%5E%7B2%7D%7D)
![c = 8](https://tex.z-dn.net/?f=c%20%3D%208)
The remaining parameter of the hyperbola is determined by the following Pythagorean expression:
![c^{2} = a^{2} - b^{2}](https://tex.z-dn.net/?f=c%5E%7B2%7D%20%3D%20a%5E%7B2%7D%20-%20b%5E%7B2%7D)
![a = \sqrt{c^{2}+b^{2}}](https://tex.z-dn.net/?f=a%20%3D%20%5Csqrt%7Bc%5E%7B2%7D%2Bb%5E%7B2%7D%7D)
![a = \sqrt{64+12}](https://tex.z-dn.net/?f=a%20%3D%20%5Csqrt%7B64%2B12%7D)
![a = \sqrt{76}](https://tex.z-dn.net/?f=a%20%3D%20%5Csqrt%7B76%7D)
The equation of the hyperbola is:
![\frac{x^{2}}{76} - \frac{y^{2}}{12} = 1](https://tex.z-dn.net/?f=%5Cfrac%7Bx%5E%7B2%7D%7D%7B76%7D%20-%20%5Cfrac%7By%5E%7B2%7D%7D%7B12%7D%20%3D%201)