Exercise 24 Page 401

To determine the distance between two points, we use the Distance Formula. The coordinates of the given points are C(- 6,5) and D(- 3,1).

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

SubstitutePoints

Substitute ( - 6,5) & ( - 3,1)

CD=sqrt(( - 3-( - 6))^2+( 1- 5)^2)

SubNeg

a-(- b)=a+b

CD=sqrt((- 3+6)^2+(1-5)^2)

AddSubTerms

Add and subtract terms

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

CalcPow

Calculate power

CD=sqrt(9+16)

AddTerms

Add terms

CD=sqrt(25)

CalcRoot

Calculate root

CD=5

The distance between C and D is 5.