Question
Find the distance between points M(6,16) and Z(-1,14) to the nearest tenth. Show your work.
Answers
Answered by
GPT 3.5
The distance between two points in a coordinate plane can be calculated using the distance formula:
d = √((x2 - x1)^2 + (y2 - y1)^2)
In this case, M(6,16) has coordinates (x1, y1) = (6,16) and Z(-1,14) has coordinates (x2, y2) = (-1,14).
Plugging these values into the distance formula:
d = √((-1 - 6)^2 + (14 - 16)^2)
= √((-7)^2 + (-2)^2)
= √(49 + 4)
= √53
To the nearest tenth, the distance between points M and Z is approximately 7.3.
d = √((x2 - x1)^2 + (y2 - y1)^2)
In this case, M(6,16) has coordinates (x1, y1) = (6,16) and Z(-1,14) has coordinates (x2, y2) = (-1,14).
Plugging these values into the distance formula:
d = √((-1 - 6)^2 + (14 - 16)^2)
= √((-7)^2 + (-2)^2)
= √(49 + 4)
= √53
To the nearest tenth, the distance between points M and Z is approximately 7.3.
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