Provide an appropriate response.Explain why it is necessary for the signs within a pair of conjugates to differ.

What will be an ideal response?


It is necessary to ensure that the product of the conjugates will be free of radicals. That is, in order for their product to be A2 - B2, the factors must be (A + B) and (A - B).

Mathematics

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Provide an appropriate response.A drawing is held for door prizes. If the names of 50 people are in the pool for the drawing, what is the probability that Sue's name will be pulled at random for the first prize?

A.
B. 20
C. 1
D.

Mathematics

Solve the absolute value equation.|x + 6| = |2 - x|

A. {-4}
B.
C.
D. ?

Mathematics

Write the expression as the sum or difference of single logarithms.log12 x3 

A. log12 3 + log12 x + log12  + log12 y
B. log12 3 + log12 x - log12  - log12 y
C. 3 log12 x +  log12 y
D. 3 log12 x -  log12 y

Mathematics

Evaluate the expression x - y for the given values of the variables.x = -24, y = 30

A. 6 B. -6 C. 54 D. -54

Mathematics