Step-by-step explanation:
x²+y²−8x−2y=48
the radius => √[(8/2)² + (2/2)² +48] =
√(16+1+48) =√65
the center => (8/2, 2/2)
=> (4, 1)
The last image is the graph of 
In fact, it is an increasing exponential function, and it passes through the points 
, which reflects the fact that 
and 
, which reflects the fact that 
.
Now, 
is a child of the parent function we just described. Precisely, it is the result of the transformation 
In general, every time you perform a transformation like 
, you translate the graph horizontall, k units to the left if k is positive, and k units to the right if k in negative.
Since in this case 
, we have a horizontal translation of 4 units to the right.
So, the correct option is the third one, because:
- The first graph is the parent function translated 4 units to the left
- The second graph is the parent function translated 4 units down
- The third graph is the parent function translated 4 units to the right
- The fourth graph is the parent function
Answer:
3/14
Step-by-step explanation:
1 1/4 can be written as 5/4
5 5/6 can be written as 35/6
so divide (5/4)/(35/6)
= (5/4)*(6/35)
=(1/4)*(6/7)
=6/28
simplified = 3/14
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:
92000
Step-by-step explanation:
Since you are asking in 534 minutes, that means it will double twice.
23000 * 2 * 2 = 92000
