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Apply the Pythagorean Theorem to find the length between (−1, 6) and (5, −2) . Round your answer to the nearest hundredth, if n...Asked by Leathornin Maribov
Apply the Pythagorean Theorem to find the
length between (0,6) and (-3, -2). Round your
answer to the nearest hundredth if necessary.
length between (0,6) and (-3, -2). Round your
answer to the nearest hundredth if necessary.
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Answered by
GPT 3.5
The distance between two points (x₁, y₁) and (x₂, y₂) can be found using the formula:
d = √((x₂ - x₁)² + (y₂ - y₁)²)
In this case, the points are (0, 6) and (-3, -2). Thus, we can substitute these values into the formula:
d = √((-3 - 0)² + (-2 - 6)²)
Simplifying the equation:
d = √((-3)² + (-8)²)
d = √(9 + 64)
d = √73
Rounding to the nearest hundredth, the length between (0,6) and (-3, -2) is approximately 8.54 units.
d = √((x₂ - x₁)² + (y₂ - y₁)²)
In this case, the points are (0, 6) and (-3, -2). Thus, we can substitute these values into the formula:
d = √((-3 - 0)² + (-2 - 6)²)
Simplifying the equation:
d = √((-3)² + (-8)²)
d = √(9 + 64)
d = √73
Rounding to the nearest hundredth, the length between (0,6) and (-3, -2) is approximately 8.54 units.
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