Which graph or graphs appear to show a sinusoid ?
2 answers:
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Given equations:
x+y = 4;
2x-3y = 3;
Matrix form would be:
![\left[\begin{array}{cc}1&1\\2&-3\end{array}\right] \left[\begin{array}{c}x\\y\end{array}\right] = \left[\begin{array}{c}4\\3\end{array}\right]](https://tex.z-dn.net/?f=%20%20%5Cleft%5B%5Cbegin%7Barray%7D%7Bcc%7D1%261%5C%5C2%26-3%5Cend%7Barray%7D%5Cright%5D%20%20%20%5Cleft%5B%5Cbegin%7Barray%7D%7Bc%7Dx%5C%5Cy%5Cend%7Barray%7D%5Cright%5D%20%3D%20%20%20%5Cleft%5B%5Cbegin%7Barray%7D%7Bc%7D4%5C%5C3%5Cend%7Barray%7D%5Cright%5D%20)
-i
x+y = 4;
2x-3y = 3;
Matrix form would be:
-i
Answer:
tan(45°) = 1
Step-by-step explanation:
We know that sin (45°) = √2/2, and cos(45°) = √2/2.
Given that tan(x) = sen(x) / cos(x), we get:
tan(45°) = (√2/2) / (√2/2) = 1
Therefore, tan(45°) = 1
Attached you will find the important angles summary
Since the distance varies directly as the square of time, then its expression looks like this:
Where d is the distance, "k" is the proportionality constant and t is the time the object is falling. We know that after 6 seconds the stone travels 304 feet. With this information we can determine the value of "k".
Therefore the complete expression is:
We want to know the distance after 7 seconds, therefore t = 7.
The stone will travell approximatelly 314 feet in 7 seconds.