Question

What expression gives the distance between the points 5,1 and 9,-6

Answer 1

Distance between the points 5,1 and 9,-6 is 8.0622

Step-by-step explanation:

Given points = (5,1) and (9,-6)

The square root of this is the distance between the points Distance can be calculated

from the expression=
`\sqrt{(x 2-x 1)^(2)+(y 2-y 1)^(2)}`

=
`\sqrt{(9-5)^(2)+(-6-1)^(2)}`

=
`\sqrt{(4)^(2)+(-7)^(2)}`

=
`√(16+49)=√(65)=8.0622`

Distance (d) from given points = (5,1) and (9,-6) is 8.0622.