Find the length of the line segment joining whose coordinates are (-3,1) and (5,-5)
(A) 10
(B) 2 radical 10
(C) 100
(D) sqrt 10
√((5+3)^2 + (-5-1)^2) = √(8^2+6^2) = ?
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it’s 10
To find the length of the line segment joining two points in a plane, you can use the distance formula. The distance formula is derived from the Pythagorean theorem and is given by:
d = sqrt((x2 - x1)^2 + (y2 - y1)^2)
Let's calculate the length of the line segment joining the points (-3, 1) and (5, -5) using the distance formula.
First, identify the coordinates of the two points:
Point 1: (-3, 1)
Point 2: (5, -5)
Now, substitute the coordinates into the distance formula:
d = sqrt((5 - (-3))^2 + (-5 - 1)^2)
Simplify the equation:
d = sqrt((8)^2 + (-6)^2)
= sqrt(64 + 36)
= sqrt(100)
= 10
Therefore, the length of the line segment joining the points (-3, 1) and (5, -5) is 10.
So, the correct answer is (A) 10.