Exercise 49 Page 590

To determine the distance between two points, we use the Distance Formula. The coordinates of the given points are W(7,3) and Z(- 4,- 1).

WZ = sqrt((x_2-x_1)^2 + (y_2-y_1)^2)

SubstitutePoints

Substitute ( 7,3) & ( - 4,- 1)

WZ=sqrt(( - 4- 7)^2+( - 1- 3)^2)

SubTerms

Subtract terms

WZ=sqrt((- 11)^2+(- 4)^2)

CalcPow

Calculate power

WZ=sqrt(121+16)

AddTerms

Add terms

WZ=sqrt(137)

CalcRoot

Calculate root

WZ ≈ 11.7

The distance between W and Z is approximately 11.7.