Answer:
Option D. minimum value at −38
Step-by-step explanation:
we have

Let

Complete the square




------> equation of a vertical parabola in vertex form
The vertex is the point 
The parabola open upward-----> the vertex is a minimum
therefore
minimum value at −38
You need to use the distance formula


so the distance between points (5,-2) and (-3,8) is

which won't simplify so it stays as is
G=37
Angle ACD and angle DCB are a linear pair. Meaning they are supplementary.
ACD=90 degrees
180-90=90
90 degrees equals the angle of DCB.
90-53=37
So g=37
<span>l ≤ 12
2l + 2w < 30
the second and fourth option are saying she can make the length longer than twelve and the third option forgets to double the length and width so it is accurate. The first option is the right answer.</span>
Absolute value is alwas positive
so all of them excet the 3rd one are false
|w|=0 has 1 solution
if the last one was |w|=1 then ther would be 2 solutions, -1 and 1
answer is |w|=0