Question

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

Answer 1

√65

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

Answer 2

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