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
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)