Question

Calculate the distance between the points H=(3, 2) and J= (7, 9) in the coordinate plane.

Round your answer to the nearest hundredth.
Distance: 1
H

Answer 1

`d=\sqrt(x2-x1)^(2) + (y2-y1)^(2)`

Explanation:

1- Identify the x and the y

x1= 3

x2=7

y1= 2

y2= 9

2- solve the equation:

d=
`\sqrt\`(7-3))
`^(2)` + (9-2)
`^(2)`

d=
`\sqrt`(4)
`^(2)` + (7)
`^(2)`

=
`\sqrt`16 + 49

=
`\sqrt`65

d=8.06 answer rounded to the nearest hundredth