Question

For the diagram below which equation is the correct use of the distance formula

the last one D is
D= √(11-6)^2 + (5-y2)^2

Answer 1

the Answer is A, verified apex 

Answer 2

Answer: The correct equation is,

`6.71=√( (11-5)^2+(y_2-6)^2)`

Explanation:

If
`(x_1,y_1)` and
`(x_2,y_2)` are the endpoints of a line segment,

Then by the distance formula,

The length of the line segment is,

`d=√((x_2-x_1)^2+(y_2-y_1)^2)`

Here, (5,6) and (11,
`y_2` ) are the endpoint of the line segment which has the length 6.71,

Thus, d = 6.71,
`x_1=5`
`y_1=6`,
`x_2=11`

`\implies 6.71 = \sqrt{ (11-5)^2+(y_2-6)^2`

Which is the required equation.