Answer:
area = (1/2) · (p + q) · h
Step-by-step explanation:
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:
Hello,
h(x)= if x<3 then x+2
else -x+8
(–∞5[ U [5 –∞)=(–∞ 5]
Answer B
Answer:
A triangle has three sides, three vertices, and three angles. The sum of the three interior angles of a triangle is always 180°.
The sum of the length of two sides of a triangle is always greater than the length of the third side.
Well, if Sameer's plum was 32 calories, and we know his total snack was 56 calories, all we have to do is:
56-32=24
24 / 4 = 6
Sameer ate one plum (32Kcal) and 6 strawberries (4Kcal each)
