HELP QUICK PLZ! NO SPAM. XYZ has vertices X(15,−8), Y(13, 21), and Z(−17, 17). Which of the following represents the translation of △XYZ along vector <−6, 5> and its reflection across the x-axis?

X (15, −8) → X ′(9, −3) → X ″(9, 3);

Y (13, 21) → Y ′(7, 26) → Y ″(7, −26);

Z (−17, 17) → Z ′(−23, 22) → Z ″(−23, −22)

Step-by-step explanation:

Use the translation vector <−6, 5>  to determine the rule for translation of the coordinates: (x, y)→ (x+(−6),y + 5).

Apply the rule to translate vertices X(15 ,−8), Y(13, 21) , and Z(−17, 17) .

X (15,−8) → (15 + (−6),−8 + 5) → X'(9, −3).

Y (13, 21) → (13+ (−6), 21 + 5) → Y' (7, 26).

Z (−17, 17) → (−17 + (−6), 17 + 5) → Z' (−23, 22).

To apply the reflection across x-axis use the rule for reflection: (x, y) → (x, −y).

Apply the reflection rule to the vertices of △X'Y'Z'.

X' (9, −3) → X'' (9, 3).

Y' (7, 26)→Y''(7, −26).

Z' (−23, 22) → Z'' (−23, −22).

Therefore,

X (15 ,−8) → X' (9, −3) → X'' (9, 3)

Y (13, 21) → Y' (7, 26) → Y'' (7, −26)

Z (−17, 17) → Z' (−23, 22) → Z'' (−23, −22)

represents the translation of △XYZ along vector <−6, 5>  and its reflection across the x-axis.

step-by-step explanation:

in which figure is point g a centroid

c 1 hour

step-by-step explanation:

m = 2e

m = 2 so 2 = 2e

1 = e