Answer:
option a
Explanation:
AD and DE are perpendicular lines, meaning they are at a 90° angle. likewise, AD and AB are also perpendicular lines. this means that there are 90° angles at ∠ADE and ∠DAB.
since both DE and AB are perpendicular to the same line and are positioned at the same angle away from it, they are parallel lines.
i hope this helps! :D
The minimum surface area that such a box can have is 380 square
<h3>How to determine the minimum surface area such a box can have?</h3>
Represent the base length with x and the bwith h.
So, the volume is
V = x^2h
This gives
x^2h = 500
Make h the subject
h = 500/x^2
The surface area is
S = 2(x^2 + 2xh)
Expand
S = 2x^2 + 4xh
Substitute h = 500/x^2
S = 2x^2 + 4x * 500/x^2
Evaluate
S = 2x^2 + 2000/x
Differentiate
S' = 4x - 2000/x^2
Set the equation to 0
4x - 2000/x^2 = 0
Multiply through by x^2
4x^3 - 2000 = 0
This gives
4x^3= 2000
Divide by 4
x^3 = 500
Take the cube root
x = 7.94
Substitute x = 7.94 in S = 2x^2 + 2000/x
S = 2 * 7.94^2 + 2000/7.94
Evaluate
S = 380
Hence, the minimum surface area that such a box can have is 380 square
Read more about surface area at
brainly.com/question/76387
#SPJ1
12/1 or in simplest form 12. Hope this helps!
Answer:subtraction property
Step-by-step explanation:
Two a negative and a negative makes a positive so it would be x+6=18 so u do the opposite on both sides so it would be subtraction
Answer:
70
Step-by-step explanation:
Substitute x with -6:
2(-6)²-2
2(36)-2
72-2
70
