solve for the unknown: 8k-k2=42 and tell me how you did it i have no ideal how

k =  4 + 5.10i ,  4 - 5.10i

Step-by-step explanation:

8k - k^2 = 42

k^2 - 8k + 42 = 0

Completing the square:-

(k - 4)^2 - 16 +42 = 0

(k - 4)^2 = -26

k- 4 = +/-sqrt26

k = 4 + sqrt26 or 4 - sqrt26

k =  4 + 5.10i ,  4 - 5.10i

option 2 is correct.

step-by-step explanation:

we are given two inequality equation

x+y> 5 and -3x+2y< -2

first we draw the graph of both function using t-table method

equation: x+y> 5

for x=0, y=5

for x=-5, y=0

table:

x   :   0     5

y   :   5     0

test point (0,0) , 0> 5

false

equation: -3x+2y< -2

for x=0, y=-1

for x=2, y=4

table:

x   :   0     2

y   : -1       4

test point (0,0) , 0< -2

true

now we draw the graph. see the attachment for graph.

common region would be solution set.

option 2 is correct.