Answer:
That looks awesome!
Step-by-step explanation:
Answer:
(-1373)
Step-by-step explanation:
a = 1st term = -13
Common difference = d = 2nd term - 1st term
d = -33 - (-13) = -33 + 13
d = -20
n = 69
nth term = a + (n-1)d
69th term = (-13) + 68 * (-20)
= -13 - 1360
= - 1373
Answer:
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Step-by-step explanation:
Answer:
y=\frac{4x}{5}-5
Step-by-step explanation:
linear equation
y=mx+b
We can see that when x=0 y= -5
THis means that b= -5 so we have
y=mx-5
We then know that when x=5 y= -1 so we have
-1=5m-5
Solve this and get m= 4/5
So we have
follows from the fact that the cosine function is
-periodic, which means
. Roughly speaking, this is the same as saying that a point on a circle is the same as the point you get by completing a full revolution around the circle (i.e. add
to the original point's angle with respect to the horizontal axis).
If you make another complete revolution (so we're effectively adding
) we get the same result:
. This is true for any number of complete revolutions, so that this pattern holds for any even multiple of
added to the argument. Therefore
for any integer
.
Next, because
, it follows that
is also true for any integer
. So we have
The rest follows from considering either case and solving for
.
