8,-2. place the x as 8 and y as -2.
Okay this is a lot simpler than you might think...
find a common factor of 10 and 4
i'm going to pick 2
10/2=5 and 4/2=2
now we have 5:2
there are no more common factors that we can take out of this so this is its lowest form
Answer:
7/25
Step-by-step explanation:
Let so we have
As , we'll have
To determine , construct a right triangle with an opposite side of 3 and a hypotenuse of 5. This is because since , then . If you recognize the Pythagorean Triple 3-4-5, you can figure out that the adjacent side is 4, and thus, . This means that .
Hence,
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