Answer:
Step-by-step explanation:
The answer is the 2nd one because you can only fold this object like this and no other way.
Answer: x = 13
Step-by-step explanation: First, we simplify the equation to get 4x + 7 = 5x - 6. Then, from there, we subtract 7 on both sides to get 4x = 5x - 13. Then we subtract 5x from both sides, which would give us -x = -13. Finally, we can divide both sides by -1 (because remember, x = 1) to get that x = 13. Hope this helps!
Answer:
√30-√18+√55-√33/2
Step-by-step explanation:
What is the following quotient? sqrt6+sqrt11/sqrt5+sqrt3
Given the expression
√6+√11/√5+√3
Rationalize
√6+√11/√5+√3 × √5-√3/√5-√3
= √30-√18+√55-√33/√25-√9
= √30-√18+√55-√33 /5-3
= √30-√18+√55-√33/2
This gives the required quotient
We can find a formula for nth term of the given sequence as follows:
1, 5, 12, 22, 35
The 1st differences between terms:
4, 7, 10, 13
The 2nd differences :
3, 3, 3
Since it takes two rounds of differences to arrive at a constant difference between terms, the nth term will be a 2nd degree polynomial of the form: 
, where c is a constant. The coefficients a, b, and the constant c can be found.
We can form the following 3 equations with 3 unknowns a, b, c:
Solving for a, b, c, we get:
a = 3/2, b = -1/2, c = 0
Therefore, the nth term of the given sequence is:
