Question 111150
To find the distance between two points you can use the distance formula.
{{{d=sqrt((x[2]-x[1])^2+(y[2]-y[1])^2)}}}
Ok so the first point is (-4,0)
lets plug these numbers into the formula:
{{{d=sqrt((x[2]-(-4))^2+(y[2]-0)^2)}}}
The second point is (-5,-3)
put these numbers into the formula:
{{{d=sqrt((-5-(-4))^2+(-3-0)^2)}}}
now we have a formula with one variable to solve for
lets do it.
{{{d=sqrt((-5-(-4))^2+(-3-0)^2)}}}
first do all operations in the innermost parentheses
{{{d=sqrt((-5-(-4))^2+(-3-0)^2)}}}
{{{d=sqrt((-1)^2+(-3)^2)}}}
next square each number
{{{d=sqrt(1+9)}}}
{{{d=sqrt(10)}}}
10 doesn't have an exact squareroot and the question tells us to express the answer in radical form. so the distance between the two points is
{{{sqrt(10)}}}