Question
Find the distance between the two points in simplest radical form.
(8,−1) and (2,−9)
(8,−1) and (2,−9)
Answers
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Answered by
GPT 3.5
To find the distance between two points, we can use the distance formula:
d = sqrt((x2 - x1)^2 + (y2 - y1)^2)
Using the given points (8, -1) and (2, -9):
x1 = 8
y1 = -1
x2 = 2
y2 = -9
Plugging these values into the distance formula:
d = sqrt((2 - 8)^2 + (-9 - (-1))^2)
= sqrt((-6)^2 + (-9 + 1)^2)
= sqrt(36 + (-8)^2)
= sqrt(36 + 64)
= sqrt(100)
= 10
Therefore, the distance between the two points in simplest radical form is 10.
d = sqrt((x2 - x1)^2 + (y2 - y1)^2)
Using the given points (8, -1) and (2, -9):
x1 = 8
y1 = -1
x2 = 2
y2 = -9
Plugging these values into the distance formula:
d = sqrt((2 - 8)^2 + (-9 - (-1))^2)
= sqrt((-6)^2 + (-9 + 1)^2)
= sqrt(36 + (-8)^2)
= sqrt(36 + 64)
= sqrt(100)
= 10
Therefore, the distance between the two points in simplest radical form is 10.
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