Answer:
A negative fraction subtracted from another is the same thing as adding the positive complement of that fraction. Make the denominators (the bottom of the fraction) the same, if they are not already. You can only add halves to halves or quarters to quarters or tenths to tenths and so on. Hope this helps!!
Step-by-step explanation:
How would I at least start out those two problems?
It looks to me like you already did. Now just follow through with it.
If the length of each side of the frame's inner dimension (i.e. the glass) is x, and the length of each side of the frame's outer dimension is x^2 - 3, then the area of the frame is:
A = (outer dimension)^2 - (inner dimension)^2
27 = (x^2 - 3)^2 - (x)^2
27 = x^4 - 6x^2 + 9 - x^2
27 = x^4 - 7x^2 + 9 <----- This is where you got to already.
0 = x^4 - 7x^2 - 18
0 = (x^2 - 9)(x^2 + 2)
Therefore, either x^2 = 9 or x^2 = -2... and you know it can't be the latter.
Thus, x^2 = 9 and therefore x = 3. The glass is 3" on each side.
<span>Each (outer) side of the frame is x^2 - 3 = 9 - 3 = 6" </span>
Answer:
b=-8
Step-by-step explanation:
Sorry I don't have time to show work right now and write it down but this is the answer.
1) linear pair
2) adjacent
3) adjacent
4) complementary
5) vertical
6) adjacent
7) linear pair
8) vertical