Well not all lines are lines of symmerty, because if you draw a let's say a rectangle on a piece of paper and draw a diagonal line through it, well the two sides don't really lie perfectly on one another!!
Answer:
(d) k = 8
Step-by-step explanation:
The value k in the equation ...
g(x) = f(x) +k
represents a vertical translation by k units.
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The vertex coordinates for f(x) and g(x) are ...
f(x): vertex = (-3, -3)
g(x): vertex = (-3, 5)
This means ...
f(-3) = -3
g(-3) = 5 = f(-3) +k = -3 +8 ⇒ k = 8
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<em>Additional comment</em>
Translations of various kinds are often most easily seen by comparing points where the graph has a distinctive feature. On this graph, that is the vertex.
Answer:
%2.83467
Step-by-step explanation:
first you use the equation A = P(1+r)^T
Where A is the future value (in your case $9200)
P is the amount ($8000)
r is interest rate (what you are trying to figure out)
and T is the time (5 years)
so you would substitute in your numbers and solve for r
<span>Since: v =sqrt(3)/2 s^2h
6779 liters x 0.0353cu ft/1 liter= 239.299 cu ft
but by proportion s/h = 10/25
s = 10/25 h
and v = sqrt(3)/2 (10/25 h)^2 h
239.299 = 0.139 h^3
h = (239.299/0.139)^(1/3) = 11.985 ft</span>