The vector to fully describe the single transformation which takes triangle A to triangle

The translation vector from A to B is (-4,6)

Step-by-step explanation:

A translation vector is a type of transformation that moves a figure in the coordinate plane from one location to another.

All the vertices of the figure are translated by the same vector, and the resulting figure is shifted horizontally and vertically.

The vertices of triangle A are:

(3,-1) (1,-4) (3,-4)

The corresponding vertices of triangle B are:

(-1,5) (-3,2) (-1,2)

Subtracting the vertices of B from vertices of A:

(-4,6) (-4,6) (-4,6)

Note they are result in the same translation vector, thus:

The translation vector from A to B is (-4,6)

1. x> -5

2. x< 8

step-by-step explanation:

1. 2x> -10

divide by 2 from both sides of equation.

2x/2> -10/2

simplify, to find the answer.

-10/2=-5

x> -5 is the correct answer.

2. 3x< 24

divide by 3 from both sides of equation.

3x/3< 24/3

simplify, to find the answer.

24/3=8

x< 8 is the correct answer.

i hope this you, and have a wonderful day!