The graph that shows the same end behavior as the graph of f(x) = 2x⁶ – 2x² – 5 is graph A.
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How to explain the graph?</h3>
In order to find the end behavior of the graph, we need to find the degree of the given function and the leading coefficient. The highest power of x is 6.
The leading coefficient is the coefficient of the highest power term. We have the highest power term is 2x⁶. The leading coefficient is 2 (Positive number)
Therefore, The graph that shows the same end behavior as the graph of f(x) = 2x⁶ – 2x² – 5 is graph A.
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Answer:
15/1 is proportional to 45/3
Step-by-step explanation:
helped or?
often denotes an angle, where
is conventionally used.
Adding
, where
is any integer, is the same as saying that
is equivalent to
etc.
This is the case because a complete revolution has an angle measure of
, which means that adding any multiple of
to a given angle results in the same angle.
Example:
If
, then
. This is also true if
, which gives
.
Answer:
The similar triangles are 
and 
and 
Step-by-step explanation:
Given
See attachment for the required figure
Solving (a): The similar triangles
The similar triangles are and
Solving (b): Why they are similar
Both triangles are similar because is dilated (i.e. enlarged) and then reflected to give .
Solving (c): Calculate BE and PE
The following are equivalent ratios
and
Solving for BE, we have:
Substitute the known values
Express as fraction
Multiply both sides by 450
-- approximated
Solving for PE, we have:
Substitute known values
Express as fraction
Multiply both sides by 400
Answer:
cylinder:
curved sa = 2πrh
=> rectangle, breath = h, width = perimeter of circle = 2πr
total sa = 2πrh+2πr^2
=> curved sa + area of 2 circles
cone:
curved sa = πrl
=> treated as a triangle, base = circumference of circle, height = slant height
total sa = πr^2+πrl
=> curved sa + area of base (circle)
