Answer:
-4
<em>BRAINLIEST, PLEASE!</em>
Step-by-step explanation:
-12/3 = -4
Both are correct they just chose a different variable to solve for first. they will both get correct answers if they do the rest correctly.
Answer:
![\frac{x^2}{25} +\frac{y^2}{16} =1](https://tex.z-dn.net/?f=%5Cfrac%7Bx%5E2%7D%7B25%7D%20%2B%5Cfrac%7By%5E2%7D%7B16%7D%20%3D1)
Step-by-step explanation:
For ellipses, the length of the major axis is represents as:
Major axis = ![2a](https://tex.z-dn.net/?f=2a)
where
is called the semi-major axis.
In this case since the major axis is equal to 10 units:
![10=2a](https://tex.z-dn.net/?f=10%3D2a)
solving for the semi-major axis
:
![a=10/2\\a=5](https://tex.z-dn.net/?f=a%3D10%2F2%5C%5Ca%3D5)
and also the minor axis of an ellipse is represented as:
Minor axis = ![2b](https://tex.z-dn.net/?f=2b)
where
is called the semi-minor axis.
Since the minor axis has a length of 8 units:
![8=2b](https://tex.z-dn.net/?f=8%3D2b)
solving for b:
![b=8/2\\b=4](https://tex.z-dn.net/?f=b%3D8%2F2%5C%5Cb%3D4)
Now we can use the equation for an ellipse centered at the origin (0,0):
![\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%2B%5Cfrac%7By%5E2%7D%7Bb%5E2%7D%20%3D1)
and substituting the values for
and
:
![\frac{x^2}{5^2} +\frac{y^2}{4^2} =1](https://tex.z-dn.net/?f=%5Cfrac%7Bx%5E2%7D%7B5%5E2%7D%20%2B%5Cfrac%7By%5E2%7D%7B4%5E2%7D%20%3D1)
and finall we simplify the expression to get the equation of the ellipse:
![\frac{x^2}{25} +\frac{y^2}{16} =1](https://tex.z-dn.net/?f=%5Cfrac%7Bx%5E2%7D%7B25%7D%20%2B%5Cfrac%7By%5E2%7D%7B16%7D%20%3D1)
The amount spent as a percentage of the budget can be found from
... (actual amount)/(total budget) × 100%
... = (actual amount)/3600×100%
... = ((actual amount)/36)%
For housing, this is
... (820/36)% = 22.78% . . . . less than budget for housing
For transportation, this is
... (370/36)% = 10.28% . . . . more than budget for transportation
212 + 28% = <span>271.36</span>
<span>Hope it helps! :D</span>