Answer:
Step-by-step explanation:
Given
Required
Possible values of k
The general quadratic equation is:
Subtract and
Factorize:
Rewrite as:
Compare the above equation to:
For the equation to have two distinct solution, the following must be true:
So, we have:
Expand
Rewrite as:
Expand
Factorize
Factor out k + 6
Split:
or 
So:
or k 
To make the above inequality true, we set:
or 
So, the set of values of k is:
What comes after 3.4 im pretty sure its 3.5
Answer:
<em>The width of the lid is 15 cm</em>
Step-by-step explanation:
<u>The Perimeter of a Rectangle</u>
Given a rectangle of width W and height H, the perimeter is calculated as:
P = 2(W + L)
Jon used 56 cm of ribbon to go around the edge of a rectangular lid. This means the perimeter is:
2(W + L) = 56
Dividing by 2:
W + L = 28
Since the lid was L=13 cm long, the width is:
W = 28 - 13 = 15
The width of the lid is 15 cm
