Answer:
i think x = 7 y = 11
Step-by-step explanation:
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Answer:
6. angle D and B
7 angle D and A
8 mA=140 and mB=40
9 mC=140 and mD=40 because they are congruent
Answer: Top right corner
This graph shows a curve going through x = -1, x = 0 and x = 4 on the x axis. These are the three roots or x intercepts.
The graph in the bottom right has a root of x = -4, but that's not one of the listed roots in the instructions. So we rule this graph out.
The other two graphs only have two roots, and not three, so we rule them out as well.
Step-by-step explanation:
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There may be more brilliant solution than the following, but here are my thoughts.
We make use of Euclid's algorithm to help us out.
Consider finding the hcf of A=2^(n+x)-1 and B=2^(n)-1.
If we repeated subtract B from A until the difference C is less than B (smaller number), the hcf between A and B is the same as the hcf between B and C.
For example, we would subtract 2^x times B from A, or
C=A-2^xB=2^(n+x)-2^x(2^n-1)=2^(n+x)-2^(n+x)+2^n-1=2^n-1
By the Euclidean algorithm,
hcf(A,B)=hcf(B,C)=hcf(2^n-1,2^x-1)
If n is a multiple of x, then by repetition, we will end up with
hcf(A,B)=hcf(2^x-1,2^x-1)=2^x-1
For the given example, n=100, x=20, so
HCF(2^120-1, 2^100-1)=2^(120-100)-1=2^20-1=1048575
(since n=6x, a multiple of x).