Step-by-step explanation:
To find the gradient:
y2-y1/x2-x1
Pick any two coordinates
11)
(4,3) and (1,-1)
-1-3= -4
1-4= -3
-4/-3 = 1.3(1dp)
12)
(0,1) and ( 2,-2)
-2-1= -3
2-0= 2
-3/2= -1.5
Might be wrong but this is what I got from what I have learnt.
Hope this helps! :)
Hello :
all n in N ; n(n+1)(n+2) = 3a a in N or : <span>≡ 0 (mod 3)
1 ) n </span><span>≡ 0 ( mod 3)...(1)
n+1 </span>≡ 1 ( mod 3)...(2)
n+2 ≡ 2 ( mod 3)...(3)
by (1), (2), (3) : n(n+1)(n+2) ≡ 0×1×2 ( mod 3) : ≡ 0 (mod 3)
2) n ≡ 1 ( mod 3)...(1)
n+1 ≡ 2 ( mod 3)...(2)
n+2 ≡ 3 ( mod 3)...(3)
by (1), (2), (3) : n(n+1)(n+2) ≡ 1×2 × 3 ( mod 3) : ≡ 0 (mod 3) , 6≡ 0 (mod)
3) n ≡ 2 ( mod 3)...(1)
n+1 ≡ 3 ( mod 3)...(2)
n+2 ≡ 4 ( mod 3)...(3)
by (1), (2), (3) : n(n+1)(n+2) ≡ 2×3 × 4 ( mod 3) : ≡ 0 (mod 3) , 24≡ 0 (mod3)
Answer:
176
Step-by-step explanation:
To find a number from a known percentage and a number, divide the given number by the percent.

Where
is the value given and
is the percentage.

The area of the regular hexagon is 31.18
Answer:
Step-by-step explanation:
sin A = 5/13
sin B = 12/13
cos A = 12/13
cos B = 5/13
tan A = 12/5
tan B = 5/12