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(3, -1) and (5, 4) arrowRight (2, 3) and (4, 5) arrowRight (-5, 7) and (8, 5) arrowRight (-2, 4) and (3, -1)

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Match each pair of points with the approximate distance between them. Round your answers to the nearest tenth. 7.07 units 5.1 units 2 units 2.83 units 5.39 units 13.15 units 12.5 units

(3, -1) and (5, 4)

(2, 3) and (4, 5)

(-5, 7) and (8, 5)

(-2, 4) and (3, -1)

The distance between (3, -1) and (5, 4) is 5.39 units, the distance between (2, 3) and (4, 5) is 2.83 units, the distance between (-5, 7) and (8, 5) is 13.15 units and the distance between (-2, 4) and (3, -1) is 7.07 units.

The distance between two points can be calculated by the formula given below

Distance between two points (x1,y1), (x2,y2)= d= √(x2-x1)²+(y2-y1)²

where (x1,y1) and (y1,y2) are the coordinates of the points.

The distance between the points which is of coordinates (3, -1) and (5, 4)

d= √(5-3)²+(4-(-1))²= √4+25= √29= 5.39 units

The distance between the points which is of coordinates (2, 3) and (4, 5)

d= √(4-2)²+(5-3)²= √4+4= √8= 2.83 units

The distance between the points which is of coordinates (-5, 7) and (8, 5)

d= √(8-(-5))²+(5-7)²= √169+4= √173= 13.15 units

The distance between the points which is of coordinates (-2, 4) and (3, -1)

d= √(3-(-2))²+(-1-4)²= √25+25= √50= 7.07 units

Therefore the distance between (3, -1) and (5, 4) is 5.39 units, the distance between (2, 3) and (4, 5) is 2.83 units, the distance between (-5, 7) and (8, 5) is 13.15 units and the distance between (-2, 4) and (3, -1) is 7.07 units.

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