Question

The point A has co-ordinates (-4,6) and the point B has co-ordinates (7,-2).

Answer 1

Answer:

√185

Step-by-step explanation:

(x₁,y₁)= (-4,6)

(x₂,y₂)=(7,-2).

the length of the line AB =√{(x₂-x₁)²+(y₂-y₁)²}

                                         =√[{7-(-4)}²+{-2-6}²]

                                          =√[{7+4}²+{-2-6}²]

                                          = √{11²+(-8)²}

                                          =  √121+64

                                          =√185

Answer 2

Answer:

√185 or 13.60 units to the nearest hundredth.

Step-by-step explanation:

For the points (x1,y1) and (x2,y2) the length between the points is given by:

L = √ [ (x2-x1)^2 + (y2-y1)^]

So here we have:

Length of AB  √ [ (7- - 4)^2 + (-2 - 6)^2]

=  √ (121 + 64)

= √185.