In this problem we must check if a given algebraic equation represents an even number or an odd number or neither by using algebraic means. Even numbers are integers, whose last digit is 0, 2, 4, 6 or 8, whereas odd numbers are integers, whose last digit is 1, 3, 5, 7 or 9. Now we proceed to check the expression:

y = y + 8 Given

y + (- y) = 8 Compatibility with addition / Existence of additive inverse / Modulative property

0 = 8 Existence of additive inverse / Modulative property / Result

The expression y = y + 8 does neither represent an odd number nor an even number.

To learn more on even numbers: brainly.com/question/2289438

#SPJ1

3 0

1 year ago

Describe the congruence transformation that maps ΔABC onto ΔA′B′C′ in the given figure.

babymother [125]

<h3>Answer: Choice B</h3>

Reflection along y axis

Translation: $(x,y) \to (x,y-3)$ which means we shift 3 units down

===========================================================

Explanation:

Let's track point A to see how it could move to point A'.

If we were to reflect point A over the vertical y axis, then A(-4,4) would move to (4,4). The x coordinate flips in sign, but the y coordinate stays the same.

The diagram shows that A' is located at (4,1) instead of (4,4). So a y-axis reflection isn't enough to move A to A', but we can shift that reflected point three units down. That will move (4,4) to (4,1) which is exactly where we want to end up. Note how we subtract 3 from the y coordinate and x stays the same. So that explains the notation $(x,y) \to (x,y-3)$

Overall, this points to choice B as the final answer. If we apply these steps to points B and C, you should find that they'll land on B' and C' respectively. Apply this to all of the points on the triangle ABC, and it will move everything to triangle A'B'C'.

7 0

3 years ago