Hello!
The directrix of a parabola is a fixed line used in describing a curve or surface.
The standard form a parabola is 4p(x - h) = (y - k)². In this equation, h, k is the vertex, and p is the focal point.
To find the standard form, first, we would find p.
Since the equation given, y² = -24x, has a vertex at (0, 0), h, k would be zero. In this case, we can find p now.
4p = -24 (divide both sides by 4)
p = -6
4(-6)(x - 0) = (y - 0)² which can be simplified to: 4(-6)(x) = y².
Looking at the graph of the parabola, it is symmetric around the x-axis, so therefore, the directrix is a line parallel to the y-axis. To find the directrix, use the formula: x = 0 - p, and we know that p = -6.
x = 0 - (-6)
x = 6
Therefore, the directrix of the parabola is choice D, x = 6.
Answer:
true
Step-by-step explanation:
geometry
Answer:
66.00
Step-by-step explanation:
Convert 10% to a decimal by moving the point from 10. to 0.10 (back two places) and multiply it by 50 which gives you $5, which equals the tax they payed. Now they want to tip 20% of the entire bill including tax, so convert 20% to a decimal 20. to 0.20. Now multiply .20 * 55(55 is the $50 payed in meals and the $5 payed in taxes added) And you get $11 for the tip. Add 55 +11 and there's your answer
<span>First of all, F is true because (16 - 16)/(16 - 4) = 0. It just means when you plug in that number (16) you'll get 0. This will NOT happen for 4 because the 0 is in the denominator.
Look what happens if you have x = 4. This gives you 12/0, which is undefined. For some graphs, this is a hole, but let's look closer.
What happens if you have x = 3.9? You'll have 12.1/0.1. 3.9999? 12.0001/0.0001. The closer you get to 4, the closer you'll get to y = infinity.
But what if you have 4.1? 11.9/-0.1. You'll get the same results, but NEGATIVE infinity. So it is NOT a hole in the graph.
If you draw it out, you'll see that there is a vertical asymptote at x = 4.
B and F are true.
As for horizontal asymptotes, look at it like this: y = 16-16/16 - 4 means y = 0. There is no asymptote here. Try subbing in 1 = (x -16)/(x - 4).
Multiply by x - 4 on both sides
x - 4 = x - 16
There is no solution here; there will be an asymptote, so D is also true.
B, D, and F are true. ,"yahoo answers"//////////////////if i get busted at least i put down my main source (you know what I'm saying)</span>
A sample is a small subset of a population, on which startistical analysis is carried out to obtain the characteristics of the population.
Sampling is the process of selecting units (e.g., people, organizations) from a
population of interest to obtain the characteristics of the population.
When drawing a sample, it is important that all the components of the population of interest is adequately represented.
Thefollowing samples are categorised based on whether they fairly represent the population of interest or not.
1.) M<span>easuring the heights of every fiftieth person on the school roster to determine the average heights of the boys in the school.
Here, the population of interest is the boys in the school. Drawing a sample of every fiftieth person on the school roster will contain both boys and girls whereas girls are not needed for the purpose of the survey.
Threfore, the sample does not represent fairly the population of interest.
2.) C</span><span>alling
every third person on the soccer team’s roster to determine how many of
the team members have completed their fundraising assignment.
Here, the population of interest is the team members, so drawing a sample of every third person on the soccer team's roster represents fairly the population of interest.
3.) </span>O<span>bserving every person walking down Main Street at 5 p.m. one evening to determine the percentage of people who wear glasses.
Here the population of interest is people who wear glasses, though observing people walking down the road might be a good way to drawing this sample, but the sample will be biased because by 5 pm, the sum will be down and the people who wear glasses because of the sun might not have their glasses on again.
So this sample does not fairly represent the population of interest.
4.) </span>Sending
a confidential e-mail survey to every one-hundredth parent in the
school district to determine the overall satisfaction of the residents
of the town.
Here, the population of interest is the residents of the town and not all residents of the town might be a parent.
So, the sample of one-hundredth parent in the school district does not fairly represent the population of interest.
5.) T<span>aking
a poll in the lunch room (where all students currently have to eat
lunch) to determine the number of students who want to be able to leave
campus during lunch.
Here, the population of interest is the students and taking a poll in the lunch room (where all students currently have to eat lunch) fairly represent the population of interest.
Therefore, the samples that fairly represent the population are:
</span>
<span>C<span>alling
every third person on the soccer team’s roster to determine how many of
the team members have completed their fundraising assignment.
and
</span></span>T<span>aking
a poll in the lunch room (where all students currently have to eat
lunch) to determine the number of students who want to be able to leave
campus during lunch.</span>
