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BigorU [14]
3 years ago
8

Find the distance between points P and Q represented on the coordinate

Mathematics
2 answers:
zlopas [31]3 years ago
5 0

Answer:

√65

Step-by-step explanation:

Coordinate of point P : (2,1)

Coordinate of point Q : (6,8)

Distance between P and Q,

√((8-1)^2+(6-2)^2)

=√(7*7+4*4)

=√(49+16)

=√65

jeka943 years ago
3 0

For this case we have that by definition, the distance between two points is given by:

d = \sqrt {(x_ {2} -x_ {1}) ^ 2+ (y_ {2} -y_ {1}) ^ 2}

For this case we have the following points:

(x_ {1}, y_ {1}): (2,1)\\(x_ {2}, y_ {2}): (6,8)

Substituting in the equation:

d = \sqrt {(6-2) ^ 2 + (8-1) ^ 2}\\d = \sqrt {(4) ^ 2 + (7) ^ 2}\\d = \sqrt {16 + 49}\\d = \sqrt {65}

Answer:

Option D

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