Answer:
80 units
Step-by-step explanation:
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:
graph the line using the the slope and y-intercept, or two points
slope:1/4
y-intercept: 2
x y
0 2
1 9/4
Step-by-step explanation:
Answer:
162√3.
Step-by-step explanation:
Area = 1/2 * p * q where p and q are the diagonals.
Here p = 2*9 = 18 and we need to find q.
tan 60 = 0.5q/9
0.5q = 9 tan 60 = 9*√3
q = 18√3
So the area of this rhombus
= 1/2 * 18*18√3
= 162√3
=
Answer:
<h3>5th Multiple of 7 = 35</h3><h3>3rd Multiple of 2 = 6</h3><h2>The Difference</h2>
=> 35-6
<h2>=> 29</h2>