This equation is in point-slope form. To change it to standard form, you must distribute -1/2 to (x+4) to get -1/2x-2. Your equation should now be y-8 = -1/2x-2. You should then add 1/2x to both sides (to cancel out -1/2x on the right side). Now, you should have y+1/2x-8 = -2. Finally, add 8 to both sides (to cancel out -8 on the left side) and flip the x and the y to get a final answer of 1/2x+y = 6.
Answer:
$22,360
Step-by-step explanation:
Whenever you have a percentage increase, multiply the original value with the percent in decimal form plus one. For example, $21,500 increased by 4% is the equivalent to 21,500 * 1.04. If it decreased by 8%, you would do 21,500 / 1.08.
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:
270° counterclockwise
Step-by-step explanation:
