Answer:
Step-by-step explanation:
99x - 44y = -605
-99x + 63y = 738
19y = 133
y = 7
-9x + 28 = 55
-9x = 27
x = -3
(-3, 7)
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
Idk .....&;&&3&&26:)8/&9/&/!;)6,)3!299//!/!$:
WHAT IS A THINK G WBAG THIS IS IS THIS FREE POINTS IF IT IS THANK YOU
1 hour = 70 miles
3 hours = 70 x 3
= 210 miles
The answer would be 210 miles.