Step-by-step explanation:
![\frac{(x - 2) {}^{2} }{4} + \frac{(y + 5) {}^{2} }{9} = 1](https://tex.z-dn.net/?f=%20%5Cfrac%7B%28x%20-%202%29%20%7B%7D%5E%7B2%7D%20%7D%7B4%7D%20%20%2B%20%20%5Cfrac%7B%28y%20%2B%205%29%20%7B%7D%5E%7B2%7D%20%7D%7B9%7D%20%20%3D%201)
This is the equation of the ellipse. Since the denominator is greater for the y values, we have a vertical ellipse. Remember a>b, so a
The formula for the foci of the vertical ellipse is
(h,k+c) and (h,k-c).
where c is
Our center (h,k) is (2, -5)
![{c}^{2} = {a}^{2} - {b}^{2}](https://tex.z-dn.net/?f=%20%7Bc%7D%5E%7B2%7D%20%20%3D%20%20%7Ba%7D%5E%7B2%7D%20%20-%20%20%7Bb%7D%5E%7B2%7D%20)
Here a^2 is 9, b^2 is 4.
![{c}^{2} = 9 - 4](https://tex.z-dn.net/?f=%20%7Bc%7D%5E%7B2%7D%20%20%3D%209%20-%204)
![{c}^{2} = 5](https://tex.z-dn.net/?f=%20%7Bc%7D%5E%7B2%7D%20%20%3D%205)
![c = \sqrt{5}](https://tex.z-dn.net/?f=c%20%3D%20%20%5Csqrt%7B5%7D%20)
So our foci is
![(2, - 5 + \sqrt{5} )](https://tex.z-dn.net/?f=%282%2C%20-%205%20%2B%20%20%5Csqrt%7B5%7D%20%29)
and
![(2, - 5 - \sqrt{5} )](https://tex.z-dn.net/?f=%282%2C%20-%205%20-%20%20%5Csqrt%7B5%7D%20%29)
There are a couple ways to do this, but basically you need to convert the units.
<span>7 yards x 3 ft/yard = 21 feet </span>
<span>4 yards x 3 ft/yard = 12 feet </span>
<span>So the area (in sq. ft) will be: </span>
<span>21 x 12 </span>
<span>= 252 sq. ft. </span>
<span>Alternatively, you can figure the area in square *yards* and then multiply by 9 sq. ft per sq. yard. </span>
<span>7 yards x 4 yards x 9 sq. ft/sq. yard </span>
<span>= 252 sq. ft.
hope this helps :)</span>
Using it's concept, the range of function g is given by:
B. ![\{y|y \in \mathbb{R}, y \neq -4, -3\}](https://tex.z-dn.net/?f=%5C%7By%7Cy%20%5Cin%20%5Cmathbb%7BR%7D%2C%20y%20%5Cneq%20-4%2C%20-3%5C%7D)
<h3>What is the range of a function?</h3>
The range of a function is the set that contains all possible output values for the function. In a graph, it is the values of y.
In this graph, y assumes all values except y = -3 and y = -4, hence the range is given by:
B. ![\{y|y \in \mathbb{R}, y \neq -4, -3\}](https://tex.z-dn.net/?f=%5C%7By%7Cy%20%5Cin%20%5Cmathbb%7BR%7D%2C%20y%20%5Cneq%20-4%2C%20-3%5C%7D)
More can be learned about the range of a function at brainly.com/question/10891721
#SPJ1
It's another word for unit rate if that helps
This is because astronauts can't sprinkle salt and pepper on their food in space. The salt and pepper would simply float away. There is a danger they could clog air vents, contaminate equipment or get stuck in an astronaut's eyes, mouth or nose. Astronauts eat three meals a day: breakfast, lunch and dinner.