Step-by-step explanation:

Answer:
k = - 2
Step-by-step explanation:
Given α and β are the zeros of x² - 6x + k = 0 , with
a = 1, b = - 6 and c = k , then
α + β = -
= -
= 6
αβ =
=
= k
Then solving
(α + β)² - 2αβ = 40
6² - 2k = 40
36 - 2k = 40 ( subtract 36 from both sides )
- 2k = 4 ( divide both sides by - 2 )
k = - 2
Principal clements needs to buy 10 packages
<em><u>Solution:</u></em>
Given that, Principal clements wants to buy a pencil for each of the 57 fourth graders in her school
The pencils come in packages of 6
Therefore,
Total number of students = 57
<em><u>Thus, divide 57 by 6 to get the number of packages clements need to buy</u></em>
<em><u></u></em>
<em><u>Substituting the given values we get,</u></em>

Thus principal clements needs to buy 10 packages
Slope = (y2-y1) / (x2-x1)
= (-4-20) / (6-4)
= (-24) / (2)
= (-12)
The slope of the line is (-12)