Perform the indicated operation & simplify. express the answer in terms of i (as a complex number). ( 5 − 7 i ) ( − 9 + 4 i )

(5 - 7i)(-9 + 4i)

To solve this question you must FOIL (First, Outside, Inside, Last) like so

First:

(5 - 7i)(-9 + 4i)

5 *(-9)

-45

Outside:

(5 - 7i)(-9 + 4i)

5 * 4i

20i

Inside:

(5 - 7i)(-9 + 4i)

-7i * -9

63i

Last:

(5 - 7i)(-9 + 4i)

-7i * 4i

-28i²

^^^There are two i that you need to multiply. This will give you i²

Now combine all the products of the FOIL together like so...

-45 + 20i + 63i + (-28i²)

-28i² + 20i + 63i - 45

NOTE: i² = -1

-28(-1) + 20i + 63i - 45

28 + 20i + 63i - 45

Combine like terms:

83i - 17 <<<This is your answer

Hope this helped!

~Just a girl in love with Shawn Mendes

answer: 1722

step-by-step explanation:

given: the mass of saturn=

the mass of mercury=

the number of times the mass of saturn is greater than the mass of mercury

hence, the mass of saturn is 1722 times greater than the mass of mercury.

the answer would be d.

step-by-step explanation:

move all variables to the left side and all constants to the right side

(x−3)^2+(y−1)^2=16

this is the form of a circle. use this form to determine the center and radius of the circle.

( x − h ) 2 + ( y − k ) 2 = r 2

match the values in this circle to those of the standard form. the variable   r   represents the radius of the circle,   h   represents the x-offset from the origin, and   k   represents the y-offset from origin.

r = 4

h = 3

k = 1

the center of the circle is found at   ( h , k ) .

center:   ( 3 , 1 )

these values represent the important values for graphing and analyzing a circle.

center:   ( 3 , 1 ).

radius:   4