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

Question

asked Oct 5, 2019 112k views

2 Answers

Rzwitserloot · Answer 1 · 2019-10-09T12:28:04+0000

Answer: The correct equation is,

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.