Answer:
15x^2 - 12x^3
Step-by-step explanation:
A rectangular block has 3 parts that play into its volume. length, width and height. The question gives us length and width in the form of x and 3x, so height is what's missing.
It gives us a bit more information saying the sum of its edges is 20. We also have to ask how many lengths, widths and heights are there. That may be a bit hard to understand, but is you are looking at a block I could ask how many edges are vertical, just going up and down. These would be the heights. There are 4 total, and this goes the same for length and width, so 4*length + 4*width and 4*height = 20.
Taking that and plugging in x for length and 3x for width (or you could do it the other way around, it doesn't matter, you get:
4*x + 4*3x + 4*height = 20
4x + 12x + 4h = 20
16x + 4h = 20
4h = 20 - 16x
h = 5 - 4x
Now we have h in terms of x, which lets us easily find the volume just knowing x. To find the volume of a rectangular block you just multiply the length, width and height.
x*3x*(5-4x)
3x^2(5-4x)
15x^2 - 12x^3
Question doesn't give a specific value for x at all so you should be done there. Any number you plug in for x should get you the right answer
Answer:
B = -.5
Step-by-step explanation:
If B is negative is cancels out the prexisting negative making it positive.
Here are some factors of 20!
1x20=20
2x10=20
4x5=20
5x4=20
Therefore there are 4 factors of 20.
Answer:
13 cm
Step-by-step explanation:
We can get the answer in the following way:
Answer:
y = 36x
Step-by-step explanation:
Given that x and y vary directly then the equation relating the is
y = kx ← k is the constant of variation
To find k use the condition x = 
, y = 12, then
k = 
= 
= 12 × 3 = 36
y = 36x ← equation of variation
