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Question

A graph shows quadrant 1 with the x-axis and y-axis ranging from 0 to positive 9. Data points marked are at left parenthesis 3 comma 2 right parenthesis, and left parenthesis 7 comma 8 right parenthesis. A straight line joins the two points forming a positive slope.

Apply the Pythagorean Theorem to find the length between the two points. Round your answer to the nearest hundredth.

(1 point)
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Answer 1

To find the length between the two points (3, 2) and (7, 8), we can use the Pythagorean Theorem.

The distance between two points (x1, y1) and (x2, y2) is given by:

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

Using the coordinates (3, 2) and (7, 8), we have:

Distance = √((7 - 3)^2 + (8 - 2)^2)
= √(4^2 + 6^2)
= √(16 + 36)
= √52
≈ 7.21 (rounded to the nearest hundredth)

Therefore, the length between the two points is approximately 7.21.

Answer 2

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Answer 3

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