Answer:
![\frac{x^2}{12}-\frac{y^2}{4}=1](https://tex.z-dn.net/?f=%5Cfrac%7Bx%5E2%7D%7B12%7D-%5Cfrac%7By%5E2%7D%7B4%7D%3D1)
Step-by-step explanation:
Since our foci are located on the x-axis, then our major axis is going to be the horizontal transverse axis of the hyperbola:
<u>Formula for hyperbola with horizontal transverse axis centered at origin</u>
- <u />
![\frac{x^2}{a^2}-\frac{y^2}{b^2}=1](https://tex.z-dn.net/?f=%5Cfrac%7Bx%5E2%7D%7Ba%5E2%7D-%5Cfrac%7By%5E2%7D%7Bb%5E2%7D%3D1)
- Directrices ->
![x=\pm\frac{a^2}{c}](https://tex.z-dn.net/?f=x%3D%5Cpm%5Cfrac%7Ba%5E2%7D%7Bc%7D)
- Foci ->
where ![a^2+b^2=c^2](https://tex.z-dn.net/?f=a%5E2%2Bb%5E2%3Dc%5E2)
![a>b](https://tex.z-dn.net/?f=a%3Eb)
Since we are given our directrices of
and foci of
, then we can set up the directrices equation to solve for
:
![x=\pm\frac{a^2}{c}\\ \\\pm3=\pm\frac{a^2}{4}\\ \\12=a^2](https://tex.z-dn.net/?f=x%3D%5Cpm%5Cfrac%7Ba%5E2%7D%7Bc%7D%5C%5C%20%5C%5C%5Cpm3%3D%5Cpm%5Cfrac%7Ba%5E2%7D%7B4%7D%5C%5C%20%5C%5C12%3Da%5E2)
Now we can determine
to complete our equation for the hyperbola:
![a^2+b^2=c^2\\\\12+b^2=4^2\\\\12+b^2=16\\\\b^2=4](https://tex.z-dn.net/?f=a%5E2%2Bb%5E2%3Dc%5E2%5C%5C%5C%5C12%2Bb%5E2%3D4%5E2%5C%5C%5C%5C12%2Bb%5E2%3D16%5C%5C%5C%5Cb%5E2%3D4)
Therefore, our equation for our hyperbola is ![\frac{x^2}{12}-\frac{y^2}{4}=1](https://tex.z-dn.net/?f=%5Cfrac%7Bx%5E2%7D%7B12%7D-%5Cfrac%7By%5E2%7D%7B4%7D%3D1)
Hey!
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If a chef bought 9 apples and each pie takes 2 apples then all we have to do is divide.
9 / 2 = 4.5
4 full pies can be made with 9 apples.
4 x 2 = 8 (apples were used to make 4 pies.)
9 - 8 = 1 (apple remaining)
If one pie needs 2 apples, subtract.
2 - 1 = 1 (pies the chef needs to make the last one)
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Answer: The last pie would need 1 more apple.
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Hope This Helped! Good Luck!
Answer:
D
Step-by-step explanation:
Negative numbers are less than zero.
3/4 of 7 pints were used. of, in this case, means to multiply. 3/4 x 7= 21/4= 5 and 1/4 pints. Now we subtract 5 and 1/4 (because this is how much was used) from 7. 7- 5 and 1/2 = 1 and 1/2
If you have questions, feel free to ask.