Expanded equation of a circle Video transcript - [Voiceover] So we have a circle here and they specified some points for us. This little orangeish, or, I guess, maroonish-red point right over here is the center of the circle, and then this blue point is a point that happens to sit on the circle. And so with that information, I want you to pause the video and see if you can figure out the equation for this circle.
References provide support for statements and add credibility to writing. The rules for what needs a citation are an academic tradition, but are rarely stated explicitly: All direct quotations from another author must be cited. The writer has no discretion in this matter: Failure to cite quotations is known as plagiarism, a serious academic offense that is equivalent to fraudulent representation of someone else's property as the writer's.
It is highly recommended that authors always include the indicia of a quotation [i.
It is not an acceptable defense to plagiarism to claim that the author forgot to include the indicia of a quotation. All substantial information taken from another source should be cited. There are four reasons for this: The meaning of "substantial information" in 2 is deduced on a case-by-case basis by considering the four reasons.
If at least one of the reasons is appropriate or desirable, then a reference should be used.
However, one does not give a reference for well-known facts e. The appropriate test is whether any person with an undergraduate education in the appropriate specialty would immediately recognize the fact: Let us take a moment to expand on item 2b above.
If the writer doubts the truth of the information, then the writer should indicate to the reader the basis for those doubts. This can be accomplished diplomatically by making a "on the one hand Doubts can also be raised and at least partly resolved by discussing alternative interpretations.
The point is that the writer can not just serve the reader some cited material and then walk away from the mess: If a complete resolution of the facts is not possible, then the writer has an obligation to say so.
Some types of statements beg for a citation. For example, It is commonly believed that It is widely known that The conventional wisdom is that These assertions need a citation of at least one I prefer three references that support the assertion.
These references may be to textbooks, which are rarely cited in professional literature in other contexts. There are two reasons for requiring a reference to this type of statement: What kind of literature should be referenced?
It is preferred that all references be archival material: There is one test for "archival": Is it retained permanently by many major technical libraries? In general, any paper that is listed in standard databases e.
In addition, patents and government reports qualify as archival materials, although they are often not considered scholarly materials. Engineering standards, although they are important, are not archival:Sep 18, · Graphing Absolute Value Standard Form.
Graphing Absolute Value Standard Form.
Skip navigation Sign in. Search. Writing Linear Equations: Standard Form [fbt] - Duration: Review with the student the standard form of an absolute value equation, y = a|mx + b| + c.
Relate the effect of m on the graph of an absolute value function to the effect of m on the graph of a linear function.
in all inertial frames for events connected by light benjaminpohle.com quantity on the left is called the spacetime interval between events a 1 = (t 1, x 1, y 1, z 1) and a 2 = (t 2, x 2, y 2, z 2).The interval between any two events, not necessarily separated by light signals, is in fact invariant, i.e., independent of the state of relative motion of observers in different inertial frames, as is.
The contributions to early versions of this manual by Saikat DebRoy (who wrote the first draft of a guide to benjaminpohle.com benjaminpohle.comal) and Adrian Trapletti (who provided information on the C++ interface) are gratefully acknowledged.
- Elementary Arithmetic - High School Math - College Algebra - Trigonometry - Geometry - Calculus But let's start at the beginning and work our way up through the various areas of math. We need a good foundation of each area to build upon for the next level. Search using a saved search preference or by selecting one or more content areas and grade levels to view standards, related Eligible Content, assessments, and materials and resources.