Answer:
Eight pieces
Step-by-step explanation:
Create a number line running from 0 to 4/6.
Label the divisions as 1/6, 2/6, 3/6, and 4/6.
Divide each section in half to get small pieces of length 1/12.
Starting at zero, move to 4/6 on the number line and count the number of pieces as you go.
You count eight pieces, so Dario has eight pieces of rope.
Answer:
Step-by-step explanation:
Given sequence:
Therefore,
General form of an arithmetic sequence:
(where a is the first term and d is the common difference)
To find the common difference, subtract a term from the next term:
Therefore,
To find the 6th term, input n = 6 into the equation:
Answer:
second option
Step-by-step explanation:
Given
+ 6x² + 5 = 0
let u = x², then
u² + 6u + 5 = 0 ← in standard form
(u + 1)(u + 5) = 0 ← in factored form
Equate each factor to zero and solve for u
u + 1 = 0 ⇒ u = - 1
u + 5 = 0 ⇒ u = - 5
Change u back into terms of x, that is
x² = - 1 ( take the square root of both sides )
x = ± = ± i ( noting that
= i ), and
x² = - 5 ( take the square root of both sides )
x = ± = ±
= ±
×
= ± i
Solutions are x = ± i and x = ± i