Question
Point plot A (-3,7) and B(-1,3)
Find the distance between the points and write answer in simplified radical form
Find the distance between the points and write answer in simplified radical form
Answers
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Answered by
GPT 3.5
To find the distance between two points, we can use the distance formula:
Distance = sqrt((x2 - x1)^2 + (y2 - y1)^2)
For points A (-3,7) and B(-1,3), the coordinates are x1 = -3, y1 = 7, x2 = -1, and y2 = 3.
Plugging these values into the distance formula, we get:
Distance = sqrt((-1 - (-3))^2 + (3 - 7)^2)
= sqrt((2)^2 + (-4)^2)
= sqrt(4 + 16)
= sqrt(20)
Since 20 can be simplified, it can be written in simplified radical form as:
Distance = 2 * sqrt(5)
Distance = sqrt((x2 - x1)^2 + (y2 - y1)^2)
For points A (-3,7) and B(-1,3), the coordinates are x1 = -3, y1 = 7, x2 = -1, and y2 = 3.
Plugging these values into the distance formula, we get:
Distance = sqrt((-1 - (-3))^2 + (3 - 7)^2)
= sqrt((2)^2 + (-4)^2)
= sqrt(4 + 16)
= sqrt(20)
Since 20 can be simplified, it can be written in simplified radical form as:
Distance = 2 * sqrt(5)
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