A polynomial is factored using algebra tiles.
2 answers:
Answer:
B.(x + 1) and (x − 3)
Step-by-step explanation:
The upper side of the tiles show the expression (x + 1), and the left side shows the expression (x - 3) (see figure attached). In both cases, you have to consider how many +x or -x are (one +x in one case and three -x in the other case). If you multiply the factors, you get:
(x + 1)*(x - 3) = x^2 - 3x + x - 3
which is the expression made by all the tiles.
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Answer:
a) 1,757,600 different plates possible.
b) 1,404,000 different plates possible.
Step-by-step explanation:
The permutations formula is important to solve this question.
Permutations formula:
The number of possible permutations of x elements from a set of n elements is given by the following formula:
(a) can be repeated:
There are 3 letters, each one with 26 possible outcomes.
2 digits, each with 10 possible outcomes
So
T = 26*26*26*10*10 = 1757600
1,757,600 different plates possible.
(b) cannot be repeated:
Here the permutations formula is used.
Three letters, from a set of 26.
Two digits, from a set of 10. So
1,404,000 different plates possible.
Answer:
Step-by-step explanation:
Since the center of dilation is not at the origin, we can use the following formula in order to find the coordinates of the vertices of the triangle D'E'F':
Where "O" is the center of dilation at (a,b) and "k" is the scale factor.
In this case you can identify that:
Therefore, susbtituting values into the formula shown above, you get that the coordinates ot the resulting triangle D'E'F, are the following:
Vertex D' →
Vertex E' →
Vertex F' →