Answer
8x^3 - 6x^4 + 12x^3
Answer:
The width of the frame is 0.0746 meters
Step-by-step explanation:
We are told that after the frame has been attached to the solar collector, the area that is left exposed is
. As we see in the figure, the dimensions of this area are
and 
where
is the width of the frame.
The product of these dimensions must equal the exposed area:

Now since
and
we have:

we expand this and solve for x using the quadratic formula:


we get two solutions:


We take the second solution i.e
, because first one gives a width larger than the dimensions of the solar collector which cannot be possible.
Thus the width of the frame is 0.0746 meters.
I showed my work and answer in this picture. When simplifying square roots you can split them into a perfect squares root time the remainders
Answer:
Depends on the data
Step-by-step explanation:
You need to arrange all of the data from the chart in numerical order.
Then figure out which number/numbers are in the middle of the data line.
If it was just one number that is the median. If two numbers were in the middle add them together then divide by two, that is your median.
Both the top and bottom numbers would have the same scale (ratio) in order to be a proportion.
Find the scale of the top numbers:
18/12 = 1.5
The top numbers have a scale of 1.5 so the bottom numbers also have a scale of 1.5
Multiply the known bottom number by the scale:
M = 34 x 1.5 = 51