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briannaandmakayla33
28.04.2021 •
Mathematics
Glven: ACICD and AABC ACED
Prove: slope of AĆ x slope of DC = -1
Statements
Reasons
1. ACICD
AABC is similar to ACED
Given
2.
Property of similar triangles
3. slope of
AC
一 A8
Definition of slope
slope of CD
х
4. Slope of AC x slope of CD
Multiplying the slopes
5. slope of AC x slope of CD = E x De Substitution property of equality
6. slope of AĆ x slope of CD = -1
Simplifying the right side
The table shows the proof of the relationship between the slopes of two perpendicular lines. What is the missing statement in step 2?
Solved
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Ответ:
Remember that the vertex form of a parabola is
where
is the vertex of the parabola.
Now, to find the vertex of the parabola, we are going to use the vertex formula:
For a quadratic of the form
, the vertex
is given by:
We know form our quadratic that
and
, so let's use our formula to find
:
Now we can evaluate our function at
to find
:
Now, we can rewrite our parabola in vertex form:
We can conclude that the correct answer is: y = 6(x + 1)2 – 16