Answer: 6√6
Step-by-step explanation: When an angle is 45 degrees in a triangle it is actually half a square (I know right!!!), so, therefore, the other side length will also be 6, and then using the Pythagorean theorem we get the hypotenuse to be 6√2. Now, when an angle is 60 degrees in a triangle it is actually half an equilateral triangle (I know right!!!), so, therefore, the other side length will be double the length, 12√2, and using the Pythagorean theorem we get the side length x to be 6√6! Hope this helps!
Let's analyze the sequence: {2,3,5,9,17...}.
3 = 2+1
5 = 3+2
9=5+4
17=9+8
So, every element of the sequence is obtained as sum from the previous element + (previous element -1)
y[n]=y[n-1] + (y[n-1]-1)
First you need to isolate the term X variable on one side of the equation by either subtracting to combine like terms
Answer:
first option
Step-by-step explanation:
The equation of a parabola in vertex form is
y = a(x - h)² + k
where (h, k) are the coordinates of the vertex and a is a multiplier
m(x) = - 2 (x - 6)² + 18 ← is in vertex form
with vertex = (6, 18 )