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.
(1 point)
Responses
73
73
8.54
8.54
11
11
7.62
To find the distance between points A and B, we can use the Pythagorean Theorem.
The distance formula is:
√((x2-x1)^2 + (y2-y1)^2)
Let's plug in the values:
√((5-2)^2 + (5-(-3))^2)
√(3^2 + 8^2)
√(9 + 64)
√73
Rounded to the nearest hundredth, the distance between points A and B is 8.54.
Therefore, the correct response is: 8.54