What are the real and imaginary parts of the complex number? −6−i enter your answers in the boxes. the real part: the imaginary part:

Real part = -6 and imaginary part = -i

Step-by-step explanation:

A complex number can be written as a + bi,

where both a and b are real numbers,

While, i is an imaginary number ( equals to √-1, because √-1 does not defined as a real number ),

The product of a real number and imaginary number is imaginary number,

∴ bi is called imaginary part of a + bi

Also, a is real number ⇒ a is real part of a + bi

Here, the given complex number,

-6-i

By comparing,

Imaginary part = -i, real part = -6.

2^y = ln 5, or   y(ln 2) = ln 5.   solving for y,   y = (ln 5) / (ln 2).   y=5

step-by-step explanation:

b. 6

step-by-step explanation:

we are given the table representing an exponential function.

we can see from the table that, as x is increasing, the value of y is increasing in the power of 6.

i.e. the following relation is obtained,

x = 1, y = 6

x = 2, y = 36 =

x = 3, y = 216 =

x = 4, y = 1296 =

x = 5, y = 7776 =

so, the geometric series obtained is .

thus, the common ratio is given by = = 6.

hence, the common ratio is 6.