Step-by-step explanation:
this is really complicated and tricky.
to create the next number, you have to add the first 2 digits of the previous number, then subtract the 3rd from the 2nd digit, multiply the 3rd and the 4th digit, and finally divide the 4th digit by the 5th.
so,
8+8 = 16
8-5 = 3
5×1 = 5
1/1 = 1
giving 16351 as next number.
the missing number we get then
1+6 = 7
6-3 = 3
3×5 = 15
5/1 = 5
giving 73155 as the next (missing) number.
control :
7+3 = 10
3-1 = 2
1×5 = 5
5/5 = 1
gives us 10251 as next number - correct.
but then it will end
1+0 = 1
0-2 = -2 ???? take the absolute value ?
2×5 = 10
5/1 = 5
For the sequence 2, 6, 18, 54, ..., the explicit formula is: an = a1 ! rn"1 = 2 ! 3n"1 , and the recursive formula is: a1 = 2, an+1 = an ! 3 . In each case, successively replacing n by 1, 2, 3, ... will yield the terms of the sequence. See the examples below.
258 cubic inches
Since the boxes are kind of on their own—>
First box: 7*2*12 = 168
Second box: 5*2*9=90
168+90 = 258
Answer:
Step-by-step explanation:
Let the ends of the given segment are A and B.
Coordinates of A → (8, 6)
Coordinates of B → (12, 12)
If a point (x, y) is dilated by a scale factor 'k' about the origin, rule to be followed,
(x, y) → (kx, ky)
If k = 
(x, y) → 
By this rule coordinates of the image points of A and B will be,
A(8, 6) → 
→ A'(5.3, 4)
B(12, 12) → 
→ B'(8, 8)
Now we can get the image of segment AB after dilation by a scale factor of .
Answer:
The product of 12 and k is 84
According to the given problem, the equation is
- <u>k = 7</u> is the right answer.
