<span><span>Step One:<span> Identify two points on the line.</span></span><span>Step Two:<span> Select one to be (x</span>1<span>, y</span>1<span>) and the other to be (x</span>2<span>, y</span>2).</span><span>Step Three:<span> Use the slope equation to calculate slope. hope this helps </span></span></span>
A cube has equal edges, so 2*2*2 or 2^3 (2 cubed) v=8^3
Answer:
Length = 12 inches, height = 3 inches
Step-by-step explanation:
First, you have to set up a proportion. 2/7, x/42.
Then, you cross multiply and get the setup of 84=7x
Finally, you divide 84 by 7 and get 12.
12 is the length, and there is no other answer that has 12 in the height. You could just do the same proportion to get 3, though.
Answer:
13.4
Step-by-step explanation:
AB =2DC
So, DC=AB/2
Now, AB/AC=DE/DC
AB/28=13/(AB/2)
AB²=13×28×2
AB=√728
AB=26.98
now, DC=AB/2
=13.4
Answer:
bottom side (a) = 3.36 ft
lateral side (b) = 4.68 ft
Step-by-step explanation:
We have to maximize the area of the window, subject to a constraint in the perimeter of the window.
If we defined a as the bottom side, and b as the lateral side, we have the area defined as:

The restriction is that the perimeter have to be 12 ft at most:

We can express b in function of a as:

Then, the area become:

To maximize the area, we derive and equal to zero:

Then, b is:
