Answer:
= - 4n - 10
Step-by-step explanation:
the nth term of an arithmetic sequence is
= a₁ + (n - 1)d
where a₁ is the first term and d the common difference
given a₈ = - 42 and a₁₆ = - 74 , then
a₁ + 7d = - 42 → (1)
a₁ + 15d = - 74 → (2)
subtract (1) from (2) term by term to eliminate a₁
8d = - 74 - (- 42) = - 74 + 42 = - 32 ( divide both sides by 8 )
d = - 4
substitute d = - 4 into (1) and solve for a₁
a₁ + 7(- 4) = - 42
a₁ - 28 = - 42 ( add 28 to both sides )
a₁ = - 14
Then
= - 14 - 4(n - 1) = - 14 - 4n + 4 = - 4n - 10
Answer:
The solution to this equation could not be determined.
Step-by-step explanation:
Simplifying
r + -5h = hr + 2h
Reorder the terms:
-5h + r = hr + 2h
Reorder the terms:
-5h + r = 2h + hr
Solving
-5h + r = 2h + hr
Solving for variable 'h'.
Move all terms containing h to the left, all other terms to the right.
Add '-2h' to each side of the equation.
-5h + -2h + r = 2h + -2h + hr
Combine like terms: -5h + -2h = -7h
-7h + r = 2h + -2h + hr
Combine like terms: 2h + -2h = 0
-7h + r = 0 + hr
-7h + r = hr
Add '-1hr' to each side of the equation.
-7h + -1hr + r = hr + -1hr
Combine like terms: hr + -1hr = 0
-7h + -1hr + r = 0
Add '-1r' to each side of the equation.
-7h + -1hr + r + -1r = 0 + -1r
Combine like terms: r + -1r = 0
-7h + -1hr + 0 = 0 + -1r
-7h + -1hr = 0 + -1r
Remove the zero:
-7h + -1hr = -1r
Combine like terms: -1r + r = 0
-7h + -1hr + r = 0
The solution to this equation could not be determined.
The answer to the question is true
Answer:
13 pieces
Step-by-step explanation:
7 4/5 divided by 3/5 is equal to 13
Answer:
Step-by-step explanation:
Given:
Substitute the given value into the formula and solve for r:
