Fermat's theorem implies that 2-1)/2 = +1 (mod p).] 11. apply theorem 5.5 to obtain two solutions to each of the quadratic congruences x -1 (mod 29) and x = -1 (mod 37). 12. show that ilp - 4k+ 3 is prime and a + b 0 (mod p), then amb0 (mod p). hint: if a 0 (mod p), then there exists an integer c such that ac i (mod p); use this fact to contradict theorem 5.5.)
theorem 5.5. the quadratic congruence x + 1 = 0 (mod p), where p is an odd prime, has a solution if and only if p = 1 (mod 4).

$4034.40

the perimeter of the field is the sum of the lengths of the four sides:

47 yd + 158 yd + 47 yd + 158 yd = 410 yd

the cost of 3 ft (1 yd) of fence is 3×$3.28 = $9.84.

so the cost of jake's wood perimeter fance is

(410 yd) × ($9.84 /yd) = $4034.40

answer: the distance

step-by-step explanation:

to calculate the distance d of a line segment with endpoints (x1, y1) and (x2, y2) use the formula d (x2 x1)2 (y2 y1)2. to calculate the midpoint of a line segment with endpoints (x1, y1) and (x2, y2) use the formula

↓↓↓↓↓↓↓↓↓

step-by-step explanation:

this is a parabola.