Answer:
The simplified form of
is 
Step-by-step explanation:
Given : 
We have to write the simplified form of 
Consider the given expression 
We know 
and 
Thus,

Simplify, we have,

Thus, The simplified form of
is 
The equation which represents the data in the table as in the task content is; Choice C; y = 2x +3.
<h3>What is the equation which represents the data in the table as attached?</h3>
It follows from the task content that the slope of the relation can be determined by means of the slope formula for a linear equation as follows;
Slope = (1-(-1))/(-1 -(-2))
Slope = 2.
Hence, the equation which represents the function is;
2 = (y-(-1))/(x -(-2))
2x + 4 = y +1
y = 2x + 3.
Therefore, the equation which represents the data in the table as in the task content is; Choice C; y = 2x +3.
Read more on equation of a table;
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Answer:
D) (x, y) → (1/3x , 1/3 y)
Step-by-step explanation:
A dilation is a change of size, if the dilation factor is greater than 1, then the figure is enlarged. If the dilation factor is smaller than 1, the figure is shrinked. In both cases, the coordinates are MULTIPLIED by the dilation factor.
Among the 4 choices, only 2 are dilations. One is with a dilation factor of 3 (A), which means the shape was enlarged. And the other is with dilation factor of 1/3, meaning the shape was shrinked.
Since we went from MNOP (LARGE one) to M'N'O'P' (small one), the dilation factor was < 1... so 1/3 is the answer.
Answers B and C show a translation/movement of the shape, not a dilation.
B or c for the equation because it is 1-n
Answer:
Step-by-step explanation:
They are closed under addition, subtraction and multiplication.