The line is called the directrix. Here we have a vertical directrix, so a parabola sideways from usual.
Geometry is best done with squared distances. The squared distance from an arbitrary point (x,y) to the vertical line x=2 is
We equate that to the squared distance of (x,y) to the focus (-2,0):
We could call that done. A more standard form might be
Answer:
5 hours
Step-by-step explanation:
If he drove 360 miles in 6 hours, that means he drives 60 miles per hour.
300 divided by 60 is 5, so he will need to drive for 5 more hours
Answer:
86
Step-by-step explanation:
<h3>22+2²=22+64=86</h3>
The 5 people can seat in a row in 5! ways
But we need to exclude the ways <span>that ann and bob are seated next to each other which is = 4! * 2!
</span>
So, the number of <span>ways can ann, bob, chuck, don and ed be seated in a row such that ann and bob are not seated next to each other = 5! - 4! * 2! = 72
</span>
<span>=====================================================
</span>
<span>Another solution:
</span>
<span>If ann seated in one of the ends, the number of ways = 3*2
</span>
<span>If ann didn't seat in one of the ends , the number of ways = 2*3
</span>
So, the total number of <span>ways that can <span>ann, bob be seated = 3*2 + 2*3 = 12
</span></span>
The remaining persons can seat with a number of ways = 3! = 6
So, the total ways that the five persons can seat = 12*6 = 72
Answer:
The correct answer is: Option D: 26 vehicles
Step-by-step explanation:
Median is the middle value of a sorted data set.
The formula for median depends on the number of values in the dataset.
First of all we have to arrange the given data in order
So,
14 19 23 24 24 24 24 26 26 26 26 26 27 27 28 29 30 30 30 34
Counting the values in the dataset
n = 20
As the number of values is even, the formula for median will be
Putting the values
![M = \frac{1}{2}(\frac{20}{2}th\ value+(\frac{20}{2}+1)th\ value)\\M=\frac{1}{2}(10th\ value +[10+1]th\ value]\\M= \frac{1}{2}(10th\ value + 11th\ value)](https://tex.z-dn.net/?f=M%20%3D%20%5Cfrac%7B1%7D%7B2%7D%28%5Cfrac%7B20%7D%7B2%7Dth%5C%20value%2B%28%5Cfrac%7B20%7D%7B2%7D%2B1%29th%5C%20value%29%5C%5CM%3D%5Cfrac%7B1%7D%7B2%7D%2810th%5C%20value%20%2B%5B10%2B1%5Dth%5C%20value%5D%5C%5CM%3D%20%5Cfrac%7B1%7D%7B2%7D%2810th%5C%20value%20%2B%2011th%5C%20value%29)
The 10th value in dataset is 26 and 11th is also 26 so
Hence,
The correct answer is: Option D: 26 vehicles
