Question

Find the distance between the points (–

3,5) and (–
4,–
5).
Write your answer as a whole number or a fully simplified radical expression. Do not round.

Answer 1

The square root of 101; √101.

Explanation:

First, substitute the points into the distance formula.

√(x2−x1)^2+(y2−y1)^2
We can see that x2= -4, x1= -3, y2=-5, and y1= 5.

√(-4- -3)^2+(-5-5)^2

Simplify.

√(-1)^2+(-10)^2

√1+100

√101, or about 10.0498756211.

Answer 2

sqrt(101)

Explanation:

We can use the distance formula

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

= sqrt (( -4 - -3) ^2 + (-5 -5) ^2 )

=sqrt (( -4 +3) ^2 + (-5 -5) ^2 )

= sqrt (( 1) ^2 + (-10) ^2 )

= sqrt(1+100)

= sqrt(101)