Thanks to anyone who helps!

Step-by-step explanation:

Look at the determinant.

a = k

b = 1

c = k

sqrt(b^2 - 4*k*k)

sqrt(1 - 4k^2)

The only way this can work out to repeated solutions is if k = +/- 1/2

That way 1 - 4(1/2)^2 = 0   or 1 - 4*(-1/2)^2 = 0

That way both solutions will be

-b / 2a

-1 / 2/(1/2) = - 1

or

-1 / 2(-1/2) = 1

So the answer is k = 1/2, - 1/2

the inequality is:

250c+180g≥950

step-by-step explanation:

let c denotes the number of days in a week   miyoko worked as a cryptographer.

and g denotes the number of days in a week she works as a geologist.

now we are given that she earns $250 for every day she works as a cryptographer,and earns $180 for every day she works as a geologist.

now miyoko's goal is to earn more than $950 this week.

hence, the inequality could be represented as:

250c+180g≥950

6 meters

step-by-step explanation: