Answer:
Focus of a Parabola. A parabola is set of all points in a plane which are an equal distance away from a given point and given line. The point is called the focus of the parabola and the line is called the directrix. The focus lies on the axis of symmetry of the parabola.
Step-by-step explanation:
Answer:
Your answer is: Look Below
Step-by-step explanation:
Hope this helped : )
<h3>
Answer: Choice C) </h3><h3>
The system can only be independent and consistent</h3>
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Explanation:
Let's go through the answer choices
- A) This isn't possible. Either a system is consistent or inconsistent. It cannot be both at the same time. The term "inconsistent" literally means "not consistent". It's like saying a cup is empty and full at the same time. We can rule out choice A.
- B) This is similar to choice A and we cannot have a system be both independent and dependent. Either a system is independent or dependent, but not both. Independence means that the two equations are not tied together, while dependent equations are some multiple of each other. We can rule out choice B.
- C) We'll get back to this later
- D) The independence/dependence status is unknown without the actual equations present. However, we know 100% that this system is not inconsistent. This is because the system has at least one solution. Inconsistent systems do not have any solutions at all (eg: parallel lines that never cross). We can rule out choice D because of this.
Going back to choice C, again we don't have enough info to determine if the system is independent or dependent, but we at least know it's consistent. Consistent systems have one or more solutions. So part of choice C can be confirmed. It being the only thing left means that it has to be the final answer.
If it were me as the teacher, I'd cross out the "independent" part of choice C and simply say the system is consistent.
Answer:
6 pieces
Step-by-step explanation:
6x5=30
6x3=18
18-12=6
the total would be 31ft and 6 inches
You leave at 1 P.M., the wedding ceremony starts at 5 P.M.
This gives you a 4 hour gap, the Wedding is 350 miles away, and you're traveling at 65 miles an hour.
Simply you can use two methods, (65 * 4) to verify if you'd make it or not or (350/65) to ensure how many hours it would take in total.
65 * 4 = 260 | Since this is not 350, we can verify that you'd be late.
350/65 = 5.4 (estimated) | Meaning it'd take about 5.4 hours.
To know how long that is we'd have to convert over.
5.4 = 5 2/5ths, 60 minutes are in an hour. Divide 60 by 5 to get 12, meaning:
1/5ths = 12/60ths, with that said multiply that by 2 to get your answer.
2/5ths = 24/60ths or 24 minutes.
This means you'd take 5 hours and 24 minutes to get there.
Originally we stated that the process would take 4 hours. Subtract:
(5 hours and 24 minutes) - (4 hours) = (1 hour and 24 minutes)
Concluding that you'd be late by an hour and 24 minutes.
I hope this helps, have a great rest of your day! ^ ^
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