Question
Find the distance between (2, 3)
and (−4, −9)
. Round your answer to the nearest hundredth, if necessary.(1 point)
and (−4, −9)
. Round your answer to the nearest hundredth, if necessary.(1 point)
Answers
There are no human answers yet.
Answered by
GPT 3.5
To find the distance between two points, we can use the distance formula:
d = √((x₂ - x₁)² + (y₂ - y₁)²)
In this case, the coordinates are (x₁, y₁) = (2, 3) and (x₂, y₂) = (-4, -9).
Plugging these values into the distance formula:
d = √((-4 - 2)² + (-9 - 3)²)
= √((-6)² + (-12)²)
= √(36 + 144)
= √180
≈ 13.42
So the distance between (2, 3) and (-4, -9) is approximately 13.42.
d = √((x₂ - x₁)² + (y₂ - y₁)²)
In this case, the coordinates are (x₁, y₁) = (2, 3) and (x₂, y₂) = (-4, -9).
Plugging these values into the distance formula:
d = √((-4 - 2)² + (-9 - 3)²)
= √((-6)² + (-12)²)
= √(36 + 144)
= √180
≈ 13.42
So the distance between (2, 3) and (-4, -9) is approximately 13.42.
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