<span>(100 cubed x 9) + (100 squared x 8) + 10 squared = 9,800,100 </span>
Answer:
(4,1)
Step-by-step explanation:
let J(6,6) be x1, y1
let K(2,-4) be x2, y2
midpoint = (x1+x2)/2 , (y1+y2)/2
=(6+2)/2 ,(6-4)/2
= 8/2 ,2/2
=4, 1
Answer:
8x
Step-by-step explanation:
Because you are adding the (x+3) there you can immediately you the association property to simplify
(2x + 5x + x) + (3 - 3)
8x + 0 =
8x
Let
x------> the length side of the square base of the box
y-------> the height of the box
we know that
volume of the box=b²*h
b=x
h=y
volume=256 cm³
so
256=x²*y------>y=256/x²--------> equation 1
<span>The amount of material used is directly proportional to the surface area, so we will minimize the amount of material by minimizing the surface area.</span>
surface area of the cardboard=area of the base+perimeter of base*height
area of the base=x²
perimeter of the base=4*x
height=y
surface area=x²+4x*y-----> equation 2
substitute equation 1 in equation 2
SA=x²+4x*[256/x²]-----> SA=x²+1024/x
step 1
find the first derivative of SA and equate to zero
2x+1024*(-1)/x²=0------> 2x=1024/x²----> x³=512--------> x=8 cm
y=256/x²------> y=256/8²-----> y=4 cm
the answer is
the length side of the square base of the box is 8 cm
the height of the box is 4 cm
Answer:
15% increase
Step-by-step explanation:
2750... 10% of that is 275, add 275 to 2750 is 3025. 1% of 2750 is 27.50, you times that by 5, which is 137.50 and add that to 3025 giving you 3162.50, add the 10% with the 5% gives you 15%, that's the increase.
