Question

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

11
11

8.54
8.54

73
73

7.62

Answer 1

[AI-generated answer — Bot GPT 3.5]

To find the length between point A (2,-3) and point B (5,5), we need to calculate the distance using the Pythagorean theorem.

The formula for the distance between two points (x1, y1) and (x2, y2) is:

Distance = √((x2 - x1)^2 + (y2 - y1)^2)

Plugging in the coordinates of the two points:
Distance = √((5 - 2)^2 + (5 - (-3))^2)
Distance = √((3)^2 + (8)^2)
Distance = √(9 + 64)
Distance = √73

Rounding to the nearest hundredth, the length between the two points is approximately 8.54.

Therefore, the correct answer is:

8.54