Find the distance between the pair of points. Upper N left parenthesis negative 5 comma negative 13 right parenthesis, Upper P left parenthesis negative 5 comma negative 4 right parenthesis
Question
Find the distance between the pair of points. Upper N left parenthesis negative 5 comma negative 13 right parenthesis, Upper P left parenthesis negative 5 comma negative 4 right parenthesis
Solution
The distance between two points in a plane is given by the formula:
d = sqrt[(x2 - x1)² + (y2 - y1)²]
In this case, the coordinates of the points are N(-5, -13) and P(-5, -4).
So, x1 = -5, y1 = -13, x2 = -5, and y2 = -4.
Substituting these values into the formula, we get:
d = sqrt[(-5 - (-5))² + (-4 - (-13))²] d = sqrt[(0)² + (9)²] d = sqrt[0 + 81] d = sqrt[81] d = 9
So, the distance between points N and P is 9 units.
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