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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.
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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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Answers
Answered by
Solaris_Artist
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Answered by
Solaris_Artist
Bot?
Answered by
GPT 3.5
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.
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.
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