What is the distance between the points (-6, 7) and (-1, 1)

sqrt(61)

Step-by-step explanation:

The distance between two points is found by the following formula

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

   = sqrt( (-1--6)^2 + (1-7)^2)

  = sqrt( (-1+6)^2 + (1-7)^2)

= sqrt( (5)^2 + (6)^2)

= sqrt( 25 + 36)

= sqrt(61)

step-by-step explanation:

given that there are two triangles j'k'l' and jkl>

the former is got by dilating the second one.

when drawn on a grid, (graph paper) coordinates of vertices of first triangle is

(6,12)j, (9,6)k and (12,9)l

side jk has length = distance between j and k

=

side j'k'=distance between j' and k'

=

ie j'k'l' has sides 1/3 of that of corresponding sides of jkl.

hence scale factor of 1/3 is used to get j'k'l'from jkl