Answer:
table B
every other input and output has the same number in a table
Answer:
Step-by-step explanation:
For a number to be divisible by 4 you just need to worry about the 10s and 1s place. You also want to know that the 1s cylce every 20, or in other words:
4 8 12 16 20
24 28 32 36 40 and so on. So the only numbers that x can be there are 1, 3, 5, 7, 9. Does that make sense? and can you manage the rest?
Answer: 1st box- subtracting 8 from both sides
2nd box- -8
Step-by-step explanation:
Answer:
Im pretty sure its 45 degrees
Step-by-step explanation:
Its an isosceles triangle so the upper 2 angles are Equal and a triangles angles adds up to 180 degrees, so if we have a 90 degree angle (the square) there's only 90 degrees left, so if you divide the 90 degrees by the remaining 2 Equal angles you get 45.
Answer:
To prove that 3·4ⁿ + 51 is divisible by 3 and 9, we have;
3·4ⁿ is divisible by 3 and 51 is divisible by 3
Where we have;
= 3·4ⁿ + 51
= 3·4ⁿ⁺¹ + 51
- = 3·4ⁿ⁺¹ + 51 - (3·4ⁿ + 51) = 3·4ⁿ⁺¹ - 3·4ⁿ
- = 3( 4ⁿ⁺¹ - 4ⁿ) = 3×4ⁿ×(4 - 1) = 9×4ⁿ
∴ - is divisible by 9
Given that we have for S₀ = 3×4⁰ + 51 = 63 = 9×7
∴ S₀ is divisible by 9
Since - is divisible by 9, we have;
- 
= 
- is divisible by 9
Therefore is divisible by 9 and is divisible by 9 for all positive integers n
Step-by-step explanation:
