Deductive reasoning
1 answer:
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Answer:
roses and
sunflowers
Step-by-step explanation:
Since the ratio of roses to sunflowers is , we can represent how many there are of each as
and
, respectively. We know that there are
more sunflowers than roses, so we can set up the following equation to solve for
:
Solving for , we get:
(Subtract
from both sides of the equation to isolate
)
(Simplify)
(Symmetric Property of Equality)
(Divide both sides of the equation by
to get rid of
's coefficient)
(Simplify)
Therefore, since , we know that there are
roses and
sunflowers. Hope this helps!
B
calculate the slopes m of the 2 lines using the gradient formula
m = (y₂ - y₁ ) / (x₂ - x₁ )
with (x₁, y₁ ) = C(- 2, 4) and (x₂, y₂ ) = D(0, - 4 )
=
=
= - 4
repeat with (x₁, y₁ ) = F(- 4, 0 ) and (x₂, y₂ ) = G(4, 2 )
=
=
=
The 2 lines are perpendicular because their slopes are negative reciprocals