Question

Which expression gives the distance between the points (4,6) and (7,-3)?​

Answer 1

As shown in the image....

Explanation:

This equation follows with the distance formula which is (x2-x1)+(y2-y1) squared.

Answer 2

Answer: d = 3
`√(10)`

Explanation:

The formula for calculating distance between to points is given as "

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

`x_(1)` = 4

`x_(2)` = 7

`y_(1)` = 6

`y_(2)` = -3

substituting the values into the equation:

d =
`\sqrt{(7-4)^(2)+(-3-6)^(2)}`

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

d =
`√(9+81)`

d =
`√(90)`

d = 3
`√(10)`