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Pearson Geometry Common Core, 2011

PG

Pearson Geometry Common Core, 2011 View details

Chapter Review

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Exercise 32 Page 74

Use the Distance Formula.

14.4units

Practice makes perfect

To determine the distance between two points, we use the Distance Formula. The coordinates of the given points are E(-7,0) and F(5,8).

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

SubstitutePoints

Substitute ( -7,0) & ( 5,8)

EF=sqrt(( 5-( -7))^2+( 8- 0)^2)

a-(- b)=a+b

EF=sqrt((5+7)^2+(8-0)^2)

Add and subtract terms

EF=sqrt(12^2+8^2)

Calculate power

EF=sqrt(144+64)

Add terms

EF=sqrt(208)

Use a calculator

EF = 14.422205...

Round to 1 decimal place(s)

EF≈14.4

The distance between E and F is approximately 14.4units.

Subchapter links

Exercises p.70-74