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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).
<h3>What is a distance formula?</h3>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:
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':
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:
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Step-by-step explanation:
The expressions for the above questions are given below: