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Pearson Geometry Common Core, 2011

PG

Pearson Geometry Common Core, 2011 View details

Chapter Review

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Exercise 31 Page 74

Use the Distance Formula.

7.6units

Practice makes perfect

To determine the distance between two points, we use the Distance Formula. The coordinates of the given points are C(-1,-1) and D(6,2).

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

SubstitutePoints

Substitute ( -1,-1) & ( 6,2)

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

a-(- b)=a+b

CD=sqrt((6+1)^2+(2+1)^2)

Add terms

CD=sqrt(7^2+3^2)

Calculate power

CD=sqrt(49+9)

Add terms

CD=sqrt(58)

Use a calculator

CD = 7.615773...

Round to 1 decimal place(s)

CD≈7.6

The distance between C and D is approximately equal to 7.6units.

Subchapter links

Exercises p.70-74