Answer: x=2π/3 and x=4π/3
Step-by-step explanation:
The equation we have is 
. All we have to do is get cosine alone to find the 2 values of x.
Now that we have our cosine left, we can use our unit circle to figure out when does cosx=-1/2. Cosine is the x value of the coordinate.
x=2π/3
x=4π/3
Answer:
Step-by-step explanation:
Given
See attachment
Required
Determine the measure of 
.
So, we have:
Where:
Substitute these values in the above equation.
Collect Like Terms:
<span>Ending Amt = Bgng Amt * e ^-0.03t
In this equation, the "-0.03" is the decay factor or "k"
We can now solve for half-life by this equation:
</span>t = <span>(<span>ln [y(t) ÷ a]<span>)<span> ÷ -k (we can say beginning amount = 200 and ending amount = 100
</span></span></span></span>t = <span>(<span>ln [200 ÷ 100]<span>)<span> ÷ -k
</span></span></span></span>t = <span>(<span>ln [2]<span>)<span> ÷ -k
</span></span></span></span>t = 0.69314718056<span> ÷ --.03
t =</span><span><span><span> 23.1049060187
</span>
about 23 years
</span></span>
Question
the coordinates of point t are (0,2). the midpoint of st is (1,-6) find the coordinates of point s.
Answer:
(10,-14)
Step-by-step explanation:
0 + x
--------- = 5 Multiply both sides by 2 ----> 0 + x = 10 or x = 10
2
2 + y
-------- = -8 Multiply both sides by 2 ----> 2 + y = -16 or y = -14
2
Therefore, the coordinates of point S should be at (10,-14)
