Answer:
The new function is (x/3)^2.
Step-by-step explanation:
If f(x) is horizontally stretched by a factor a the function is f(x/a).
So for f(x) = x^2 it becomes (x/3)^2.
Answer:
Step-by-step explanation:
sin²x+cos²x = 1. No Matter What is the value of x. For Explanation: Sin x is opposite_side/hypotenuse of a Right angle triangle. Cos x is adjacent_side/hypotenuse of a Right angle triangle.
Answer:
The area of the parallelogram is 
.
Step-by-step explanation:
Let's rewrite these two vectors:
Let's recall that the area of the parallelogram is the magnitude of the cross product between these vectors.
We can use the Determinant method to find it.
![u \times v=\left[\begin{array}{ccc}i&j&k\\1&-2&2\\0&3&-1\end{array}\right] = i((-2)*(-1)-2*3)-j(1*(-1)-2*0)+k(1*3-(-2)*0)=i(2-6)-j(-1)+k(3)=-4i+j+3k](https://tex.z-dn.net/?f=u%20%5Ctimes%20v%3D%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7Di%26j%26k%5C%5C1%26-2%262%5C%5C0%263%26-1%5Cend%7Barray%7D%5Cright%5D%20%3D%20i%28%28-2%29%2A%28-1%29-2%2A3%29-j%281%2A%28-1%29-2%2A0%29%2Bk%281%2A3-%28-2%29%2A0%29%3Di%282-6%29-j%28-1%29%2Bk%283%29%3D-4i%2Bj%2B3k)
Now, the magnitude is the square root of each component squared. It will be:
Therefore the .
I hope it helps you!
Number 7; (x,y) —> (y,-x)
First use a analogy
SOH CAH TOA
Or remember Some Old Hippie Caught Another Hippie Tripping On Asphalt
SOH - Opposite/Hypotenuse
CAH- Adjacent (next to)/Hypotenuse
TOA - Opposite/Adjacent (next to)
Sin(A) - opposite (25)/Hypotenuse (32)
25/32 = 0.78125 or 25/32 (already in simplest form)
Cos - Adjacent(12)/Hypotenuse(32)
12/32= 0.375 or 3/8
