(06.08a lc) what is the approximate distance between points a and b?
a coordinate grid is shown with point a at (1,4) and point b at (-3,-2)

In this item, we are asked to determine or calculate for the distance between the points A (1,4) and B(-3,-2)

The distance between the two points can be computed through the equation below.
             d = sqrt ((x₂ - x₁)² + (y₂ - y₁)³)
We can choice whichever of the two points will have the first abscissa or the first ordinate. For the purpose of showing the solution here, it is assumed that A has the coordinates of (x₁,y₁) and B (x₂,y₂)

Substituting,
          d = sqrt ((-3 - 1)² + (-2 -4)²)
          d = 2√13 

ANSWER: 2√13 , ~7.21

i = 2 / - 5

step-by-step explanation:

evaluation of ( 2 - 4 ) ( p + q ) when p = 2 and q = 5 i, by putting values of p and q,                                                                    

0 = ( 2 - 4 ) ( p + q )0 = ( 2 - 4 ) ( 2 + 5 i ),   by multiplying these0 = ( 4 + 10 i - 8 - 20 i )0 = 4 - 8 + 10 i - 20 i0 = - 4 -10 i   0 = 2 ( - 2 - 5 i )0 / 2 = - 2 - 5 i- 2 - 5 i = 0- 5 i = 2i = 2 / - 5

Multiplication property of zero