Question 8 of 10If A = (-2, -4) and B = (-8, 4), what is the length of ?A.10 unitsB.12 unitsC.16 unitsD.14 units
Question
Question 8 of 10If A = (-2, -4) and B = (-8, 4), what is the length of ?A.10 unitsB.12 unitsC.16 unitsD.14 units
Solution
The length of the line segment between two points (x1, y1) and (x2, y2) in a 2D space can be calculated using the distance formula derived from the Pythagorean theorem:
Distance = sqrt[(x2-x1)² + (y2-y1)²]
Here, A = (-2, -4) and B = (-8, 4). So, x1 = -2, y1 = -4, x2 = -8, and y2 = 4.
Substituting these values into the distance formula gives:
Distance = sqrt[(-8 - (-2))² + (4 - (-4))²] = sqrt[(-6)² + 8²] = sqrt[36 + 64] = sqrt[100] = 10 units
So, the length of the line segment AB is 10 units. Therefore, the answer is A.10 units.
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