Answer:
3:4
Step-by-step explanation:
The greatest common factor for 48 and 60 is:
12
C. Feverishly he went through the remaining strips of paper
Answer:
The correct answer is:
The graph will be the same width as the parent graph f(x) = x², but the vertex has been shifted to (1, 2).
Step-by-step explanation:
Since the value of a, the coefficient of x², is 1, this means the graph has not been stretched or shrunk. However, since the function is different than f(x)=x², we know that the vertex is not at (0, 0). We can write the function in vertex form to find the new vertex.
To write the function in vertex form, we find the value of b/2. The value of b in this function is -2; -2/2 = -1. We then square this: (-1)² = 1. This is what we add and subtract to the function (we must do both to preserve equality), giving us:
f(x) = x²-2x+1+3-1
The first three terms of this function can be written as the square (x+(b/2))²; this is (x-1)², and gives us f(x) = (x-1)²+3-1. Combining like terms, we have:
f(x) = (x-1)²+2
This is vertex form, f(x) = a(x-h)²+k, where (h, k) is the vertex. This means the vertex is at (1, 2) instead of (0, 0).
Aretha is correct. Since a rhombus a is a quadrilateral with 4 equal sides in terms of length, (forming 4 right angles in each corner), it can be concluded that all squares are rhombuses. However, only some and not all rhombuses are squares because some rhombuses may have equal lengths but all corners don't form right angles.
