Question 88562
Find the distance between (-3,-2) and (1,4), simplify form
:
You should know the distance formula which is: d = {{{sqrt((x2-x1)^2 + (y2-y1)^2)}}}
:
In your problem x1 = -3, y1 = -2; x2 = 1, y2 = 4, so you have:
d = {{{sqrt((1-(-3))^2 + (4-(-2))^2)}}}
:
d = {{{sqrt((1+3)^2 + (4+2)^2)}}}; remember, minus a minus, is a plus
:
d = {{{sqrt(4^2 + 6^2)}}};
:
d = {{{sqrt(16 + 36)}}};
:
d = {{{sqrt(52)}}}= {{{sqrt(4*13)}}} = {{{2*sqrt(13)}}}; extracted 2^2