Select the postulate that is illustrated for the real numbers.
2 answers:
Answer:
The commutative Multiplication Postulate
Step-by-step explanation:
The commutative property of multiplication states:
Let x and y be two numbers. Then, according to this property of multiplication,
That is x multiplied by y is equal to y multiplied by x.
Now, we were given:
This clearly means that 12 multiplied 6 is equal to 6 multiplied 12 times.
Hence, the real numbers out of all the given postulates and properties, they illustrates the commutative property of multiplication.
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Answer to problem 1 is (-4, 4)
Answer to problem 3 is (2, 2)
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Explanation:
When the center of a dilation is the origin (0,0), we simply multiply the scale factor by each coordinate.
For problem 1, point U is located at (-2,2). Multiply each coordinate by the scale factor 2 (since it says "dilation of 2") to get (-4,4)
For problem 3, we multiply 0.5 by each coordinate of the point U(4, 4) getting to U ' (2,2)
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The dilation rule used here is where k is the scale factor or dilation factor. This rule only applies if the center of dilation is (0,0). For other centers, you'll need to apply a translation first, dilate, then translate back again.
If k > 1, then the point moves further away from the origin.
If 0 < k < 1, then the point moves closer to the origin.