Find the General Form of the Equation of the Plane $$( 5 , - 5 , - 6 ) , ( 6 , - 1,4 ) , ( - 2 , - 5,5 )$$

question 16

Multiple Choice

Find the general form of the equation of the plane passing through the three points. [Be sure to reduce the coefficients in your answer to lowest terms by dividing out any common factor.]
$$( 5 , - 5 , - 6 ) , ( 6 , - 1,4 ) , ( - 2 , - 5,5 )$$

• A) \(44 x - 81 y + 28 z - 457 = 0\)
• B) \(44 x - 81 y + 28 z = 0\)
• C) \(5 x - 5 y - 6 z = 0\)
• D) \(44 x - 81 y + 28 z + 457 = 0\)
• E) \(5 x - 5 y - 6 z + 457 = 0\)

Recognize the specifics and exceptions related to methods and timing of acceptance under different legal standards.

Distinguish between bilateral and unilateral contracts in terms of offer acceptance requirements.

Identify legal standings on whether silence or actions unrelated to the offer can signify acceptance.

Comprehend the legal power of the original offeree in accepting an offer and creating a contract.

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Definitions:

Population Assumptions

Hypotheses regarding the characteristics or distribution of the population from which a sample is drawn in statistical modeling.

Wilcoxon Rank-sum Test

A statistical test that doesn't rely on parameters and is utilized to evaluate whether two separate samples have different population mean ranks.

Independent Samples

Two or more groups of samples that are collected from distinct populations and are not related or matched in any way.

Relative Frequency Distributions

A statistical tool detailing the proportion of times each value appears in a dataset relative to the total number of observations.