Question

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

Answer 1

@phi

Answer 2

For the conjugate, you simply change the sign of the imaginary part : conj(-6-5i) = -6 +5i

Answer 3

do you know 5 or 6?

Answer 4

\[81 = 3^{4} so (3^{4})^{-\frac{ 3 }{ 4 }}=3^{-3}=\frac{ 1 }{ 27 }\]

Answer 5

6?

Answer 6

@math&ing001

Answer 7

\[3\sqrt{x+5}=-9 so \sqrt{x+5}=(-3)^{2}=9 so x=4\]

Answer 8

is it not extraneous or extraneous?

Answer 9

@math&ing001

Answer 10

To know if it's extraneous or not, plug it in the first equation and see if it checks.

Answer 11

no it doesn't

Answer 12

so which one would it be?

Answer 13

So it's extraneous