Which pairs of fractions are equivalent to 3/4 and 7/10
1 answer:
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The formula that explain the arithmetic sequence is
Step-by-step explanation:
The formula of the nth term in an arithmetic sequence is
, where
- a is the first term
- d is the common difference between the consecutive terms
∵ ,
, 0 ,
are some terms of an arithmetic sequence
∵ The difference between two consecutive terms = -
∴ The difference between two consecutive terms = +
=
∴ The common difference =
∴ d =
∵ The first term is
∴ a =
- Substitute a and d in the formula above
∴
- Simplify the right hand side
∴
- Add like terms
∴
The formula that explain the arithmetic sequence is
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Answer:
y = - x - 1
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Calculate m using the slope formula
m = (y₂ - y₁ ) / (x₂ - x₁ )
with (x₁, y₁ ) = (0, - 1) and (x₂, y₂ ) = (3, - 5) ← 2 points on the line
m = = -
Note the line crosses the y- axis at (0, - 1) ⇒ c = - 1
y = - x - 1 ← equation of line