The height of the envelope is 10. This is because you divide the area by 3. So, the missing side is 10 inches.
Answer:
aₙ= -2n²
Step-by-step explanation:
<h2><u>Solution 1:</u></h2>
The sequence:
The difference between the terms:
- a₁= -2
- a₂= a₁ - 6 = a₁ - 2*3= a₁- 2*(2²-1)
- a₃= a₂ - 10 = a₁ - 16= a₁ - 2*8= a₁ - 2*(3²-1)
- a₄= a₃- 14= a₁ - 30= a₁ - 2*15= a₁ - 2*(4² -1)
- ...
- aₙ= a₁ -2*(n²-1)= -2 -2n² +2= -2n²
As per above, the nth term is: aₙ= -2n²
<h2><u /></h2><h2><u>Solution 2</u></h2>
The sequence:
- -2, -8, -18, -32, -50
- -2*1, -2*4, - 2*9, -2*25
- -2*1², -2*2², -2*3², -2*4², -2*5², ..., -2*n²
- aₙ= -2n²
Answer:
- 4 < x ≤ 7
Step-by-step explanation:
Given
- 10 ≤ - 5x + 25 < 45 ( subtract 25 from all 3 intervals )
- 35 ≤ - 5x < 20
Divide all 3 intervals by - 5, reversing the inequality signs as a consequence.
7 ≥ x > - 4
Hence - 4 < x ≤ 7
Answer:
A) but it is not a good choice.
Step-by-step explanation:
I don't like A much. An Isosceles triangle has 2 congruent sides. If all three are congruent, it is equilateral.
Of the three choices however, it is A. B is a scalene triangle and C is as stated, equilateral.
Answer:
b
Step-by-step explanation: