Answer:
see explanation
Step-by-step explanation:
the sum to n terms of an arithmetic sequence is
=
[2a + (n - 1)d ]
where d is the common difference and a is the first term
here d = 9 - 7 = 7 - 5 = 2 and a = 5, hence
=
[(2 × 5) + 2(n - 1) ]
=
(10 + 2n - 2)
=
(2n + 8)
= n² + 4n
When sum = 165, then
n² + 4n = 165 ← rearrange into standard form
n² + 4n - 165 = 0 ← in standard form
(n + 15)(n - 11) = 0 ← in factored form
equate each factor to zero and solve for n
n + 15 = 0 ⇒ n = - 15
n - 11 = 0 ⇒ n = 11
but n > 0 ⇒ n = 11
Answer:
22.63
Step-by-step explanation:
v = √64 * h
= √64 * 8
= √64 * √8
= 8 * 2√2
= 16√2 = 22.63
Answer:
-6 = x / 3 -Multiply both sides by 3
-6 * 3 = x / 3 * 3
-18 = x
Now, you can check your answer:
-6 = -18 / 3
-6 = -6
Hope this helps!
the denominator would be 12
Answer:

Firstly, multiply the number and variable in the perenthesis. Then move the variable on it's own side of the equation. The simplify.