Every prime greater than 2 is oddNo even number greater than 2 is prime
Considering that each student has only one birthday, each input will be related to only one output, hence this relation is a function.
<h3>When does a relation represent a function?</h3>
A relation represents a function when each value of the input is mapped to only one value of the output.
For this problem, we have that:
- The input is the student's name.
- The output is the student's birthday.
Each student has only one birthday, hence each input will be related to only one output, hence this relation is a function.
More can be learned about relations and functions at brainly.com/question/12463448
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If we multiply the bottom equation by 2 and move x to the right, it becomes:
4y = 2x-38
Now we can substitute it for the 4y in the top equation:
3x + (2x-38) = -23 => 5x = -23+38 => 5x = 15 => x=3
Then 4y = 2*3-38 => y = -8
So the solution is (3,-8)
Answer:
When we have a rotation about a given point, the distance between the rotated point and the axis of rotation will remain constant, the only thing that changes is the coordinates of the point.
This tell us that the main measures of any rotated shape will not change.
Then the side lengths will remain constant, this implies that the area also remains constant, and this also means that the angle measures should remain the same.
And because the perimeter is equal to the sum of all the side lengths, the perimeter also remains the same.
The only thing that changes will be the coordinates of our polygon.
