To find the length between points A and B using the Pythagorean Theorem, we need to calculate the distance between their x-coordinates and y-coordinates.
The x-coordinate difference is (5 - 2) = 3.
The y-coordinate difference is (5 - (-3)) = 8.
We can now use these differences to apply the Pythagorean Theorem:
Distance = √(3² + 8²)
Distance = √(9 + 64)
Distance = √73
Rounding to the nearest hundredth, the length between points A and B is approximately 8.54.
Use the image to answer the question.
A graph shows four quadrants with the x-axis and y-axis both ranging from negative 5 to positive 5 in increments of 1. Data points marked are point A at left parenthesis 2 comma negative 3 right parenthesis, and point B at left parenthesis 5 comma 5 right parenthesis.
Apply the Pythagorean Theorem to find the length between the two points. Round your answer to the nearest hundredth, if necessary.
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