The mali empire of west africa was known far and wide for the great wealth of its rulers. The empire fell in the year 1610161016
2 answers:
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Answer
a) C
b) B
c) C, E
d) 15.5
e) 0.7
f) 67.7
Step-by-step explanation
a) A linear equation can be written as where
is the slope and
is the intercept on the
-axis. The slope describes how
changes when
changes. A negative value means the it is a decreasing change. In our case,
is
and
is
. Thus, the slope of the equation is
. This means that the area of glacier is decreasing by
every year since 2000.
b) The -intercept (= 16.2
) represents the area covered when
. But
starting from year 2000. This intercept then represents the area covered by glacier in the year 2000. Therefore, the area covered by glacier in 2000 was 16.2
.
c) means the area covered after year 2000. Setting it to 12 means the area covered after
years is 12
).
is therefore the number of years since 2000 that the total area covered will be 12
).
d) to 1 decimal place.
e) The term involving represents the disappearing area. In 12 years, the disappeared area is
to 1 decimal place.
f)
years to 1 decimal place.
Answer:
is an even function.
Step-by-step explanation:
Recall when it means when a function is even or odd. An even function has the following property:
And an odd function has the following property:
So, let's test some values for cos(x).
Let's use π/3:
From the unit circle, was can see that this is 1/2 (refer to the x-coordinate).
Now, let's find -π/3. This is the same as 5π/3. Thus:
And again from the unit circle, we can see that this is 1/2.
Therefore, despite the negative, the function outputs the same value.
Cosine is an even function.
Notes:
Cosine is an even function and sine is an odd function. It's helpful to remember these as they can help you solve some trig problems!