868 is about 870, and 28 is about 30, so your expression would be 870 divided by 30 which would be 29 and the actual answer is 31, so your estimate would be close to your actual answer.
well, let's notice something, a cube, all equal sides, has a side of 6, thus its volume is simply 6*6*6 = 216 cm³.
now, a rectangular prism, is a cuboid as well, but with varying dimensions.
let's notice something 6*6*6 is simply a multiplication of 3 numbers, let's then do a quick <u>prime factoring</u> of those numbers, well, 6 factors only into 2 and 3, so then the product of 6*6*6 can really be rewritten as (2*3)(2*3)(2*3).
well, regardless on how we rearrange the factors, the product will be the same, commutative property, so the rectangular prism will more or less have the same product and thus just about the same prime factors.
so let's rearrange on say hmmm height = 3 cm, length = 3*3 cm and width = 2*2*2 cm, notice, is still the same prime factors, 3*9*8 = 216 cm³.
Check the picture below.
Answer:
(2,-3)
Step-by-step explanation:
2x + 2y = -2
3x -2y =12
Add the two equations together to eliminate y
2x + 2y = -2
3x -2y =12
--------------------
5x = 10
Divide each side by 5
5x/5 = 10/5
x =2
Now we need to find y
2x+2y=-2
2(2) +2y = -2
4+2y = -2
Subtract 4 from each side
4-4 +2y = -2-4
2y = -6
Divide each side by 2
2y/2 = -6/2
y =-3
<span>let the two number be x and y
x + y = 156
y = 156 - x
Product of the 2 numbers:
x(156 - x) = </span>
<span>
This maximum value occurs when x = -b / (2a). [This is a standard rule]
</span>
a = -1 and b = 156
x =
x = 78
y = 156 - 78 = 78
product = 78 x 78 = <span>6084 </span>
So the two positive numbers are 78 and 78.
Answer:
-32 I THINK
Step-by-step explanation: