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2 answers:
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Answer:
Option C
Step-by-step explanation:
Hypothesis is a tentative guess which can be statistically proven to be valid or invalid depending with the given level of significance. Normally, we have null and alternative hypothesis. For this question, the null hypothesis is that the mean temperature in Atlanta in July is less than or equal to
Answer:
- distance to x-axis: 3 units
- distance to y-axis: 2 units
- the reflected point is (2, 3)
Step-by-step explanation:
The given point is (-2, 3), labeled point A in the attachment.
As you know, the distance from the x-axis is given by the y-coordinate. Here, that distance is ...
3 units from the x-axis
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The distance from the y-axis is given by the magnitude of the x-coordinate. Here, that distance is ...
2 units from the y-axis
Note that the negative coordinate value means the point is located that distance to the left of the y-axis.
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Reflecting the point across the y-axis means choosing a point that is the same distance (2 units) right of the axis instead of left of the axis. The sign of the x-coordinate value will be positive, instead of negative. (The y-coordinate remains unchanged,)
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The reflected point is (2, 3).
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<em>Additional comment</em>
As we have seen, reflection across the y-axis changes the sign of the x-coordinate:
(x, y) ⇒ (-x, y) . . . . reflection across the y-axis
Similarly, reflection across the x-axis changes the sigh of the y-coordinate:
(x, y) ⇒ (x, -y) . . . . reflection across the x-axis
