Answer:
y = (1/3)x + 4
Step-by-step explanation:
Two points on this line are (0, 4) and (3, 5).
As we move from the first point to the second, x increases by 3 and y increases by 1. Thus, the slope, m, of the line is m = rise / run = 1/3.
Use the slope-intercept equation: y = mx + b.
If we use the data from the point (0, 4), we get:
4 = (1/3)(0) + b, so that b = 4. The desired equation is y = (1/3)x + 4.
Well, it depends what shape you are using the volume formula for. If it's for a square (I'm assuming) then the volume formula would be:
Side^2
3/4 = x / 7.5
4x = 3(7.5)
4x = 22.5
x = 5.625
Answer:
a) see below
b) 40x20 meters
Step-by-step explanation:
Write down what you know:
- The area of the enclosure is length*width, so

- The length of the fencing is 80 meters, so

Now we have to combine these two equations above, and get rid of y in the process.
First rewrite the second as:

Then substitute for y in the first:

b) To maximize A, find the zero of the first derivative:

So y = (80-40)/2 = 20 meters.
X= base
Area= 1/2(base)(height)
24=1/2(b)(4)
24=(4*1*b)/2
24=4b/2
Divide 2 into 4
24=2b
Divide both sides by 2
12=b
base= x= 12 units
Hope this helps! :)