DanniLs4ophie
Answered

Question 4

Which of the following expressions is the conjugate of a complex number with −6 as the real part and −5i as the imaginary part?


6 + 5i


6 − 5i


−6 − 5i


−6 + 5i


Question 5

Simplify 81 to the negative 3 fourths power


−27


negative 1 over 27


27


1 over 27


Question 6

Find the solution of three times the square root of the quantity of x plus 5 equals negative 9


x = 4; not extraneous


x = 4; extraneous


x = 0; extraneous


x = 0; not extraneous

Verified Answer :

meerkat18

The conjugate of a complex number can be determined by arranging first the number into standard form a + bi. The conjugate has a form in which the sign of b is opposite. Hence the answer in 1 is -6 + 5i. In 2, using a calculator, the answer is 1/27. in 3, extraneous roots are roots in which when substituted to the original function, the function becomes invalid. Answer in 3 is B. x =4, extraneous.

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