Question

The point A(-2, 3) is translated using T: (x,y) → (x + 4, y + 2).

Answer 1

The distance between the points A(-2, 3) and A'(2, 5) is 2√5 units if the point A(-2, 3) is translated using T: (x, y) → (x + 4, y + 2).

What is a distance formula?

It is defined as the formula for finding the distance between two points. It has given the shortest path distance between two points.

The distance formula can be given as:

$\rm d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}$

We have a point A(-2, 3)

After applying the translation:

T: (x,y) → (x + 4, y + 2)

A' = (-2+4, 3+2) = (2, 5)

The distance between A and A':

$\rm d=\sqrt{(2+2)^2+(5-3)^2}$

d = √20

or

d = 2√5 units

Thus, the distance between the points A(-2, 3) and A'(2, 5) is 2√5 units if the point A(-2, 3) is translated using T: (x, y) → (x + 4, y + 2).

Learn more about the distance formula here:

brainly.com/question/18296211

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