Please simplify, 50 points.
2 answers:
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Answer:
k = 11
Step-by-step explanation:
Given the points are collinear then the slopes between consecutive points are equal.
Using the slope formula
m =
with (x₁, y₁ ) = (5, 1) and (x₂, y₂ ) = (1, - 1)
m = =
=
Repeat with another 2 points and equate to
with (x₁, y₁ ) = (1, - 1) and (x₂, y₂ ) = (k, 4)
m = , then
=
( cross- multiply )
k - 1 = 10 ( add 1 to both sides )
k = 11
Answer:
Step-by-step explanation:
we know that
When we compare positive fractions with the same numerator, the largest rational number will be the fraction with the lowest denominator
In this problem we have
and
Both numerator are equal
Compare the denominators
therefore
is the largest rational number