Multiply and simplify the product. (8 – 5i)2 Select the product. 39 89 39-80i 89-80i

39 - 80i

Step-by-step explanation:

(8 - 5i)²

= (8 - 5i)(8 - 5i)    (expand using FOIL. See attached for reference)

= (8)(8)  + (8)(-5i) + (-5i)(8) + (-5i)(-5i)

= 64 - 40i - 40i + 25i²  

= 64 - 80i  + 25i² (recall that i² = -1)

= 64 - 80i + 25(-1)

= 64 - 80i - 25

= 39 - 80i

the direct variation says that:

then the equation is of the form is given by:

            where k is the constant variation.

from the given table:

consider any value of x and m(x)=y

x = 2 and m(x)=y = 3

substitute these value in [1]; we have;

divide both sides by 2 we get;

⇒

check:

put x = -1 and m(x) = -1.5

substitute in the equation:

-1.5 = -1.5                   true

therefore, the function m(x) represents a direct variation

graph of this function as shown below:

step-by-step explanation:

where is the question is there is a formula or is there not one