Use the Euclidean algorithm to express 1 as a linear combination of 
and 
.
a. 
because
77 = 1*52 + 25
52 = 2*25 + 2
25 = 12*2 + 1
so we can write
1 = 25 - 12*2 = 25*25 - 12*52 = (77 - 52)(77 - 52) - 12*52 = 77^2 - 2*52*77 + 52^2 - 12*52
Taken modulo 77 leaves us with
b. First, 
, so really we're looking for the inverse of 25 mod 52. We've basically done the work in part (a) already:
1 = 25*25 - 12*52
Taken modulo 52, we're left with
c. The EA gives
71 = 1*53 + 18
53 = 2*18 + 17
18 = 1*17 + 1
so we get
1 = 18 - 17 = 3*18 - 53 = 3*71 - 4*53
so that taken module 71, we find
d. Same process as with (b). First we have 
, and we've already shown that
1 = 3*18 - 53
which means, taken modulo 53, that
Answer: 6 1/15 inch
Step-by-step explanation:
Hi, to answer this question we have to analyze the information given:
- <em>Yuma: 2 2/3 inch of rain
</em>
- <em>Las Vegas: 4 1/5 inch of rain
</em>
So, to obtain the number of the two cities combined we simply have to add both values.
Mathematically speaking
2 2/3 + 4 1/15 = 2 10/15 + 4 1/15 = 6 1/15 inch
The 2 cities combined get an average of 6 1/15 inch of rain each year.
Feel free to ask for more if needed or if you did not understand something.
Step-by-step explanation:
ummmmmmmmmmmmmmmmm i really wish i coud help but im not sure what is it i thik it mit be =3x+23
but i could be rong pls dont be mad if it is
Because they are using flat nets they may be able to get more boxes per area of cardboard purchased instead of purchasing the boxes and losing some extra cardboard from a cutting or gluing process. the flat nets may also be cheaper to ship or take less area than boxes shipped whole.
Two planes intersect in a line sometimes.
