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Pearson Geometry Common Core, 2011

PG

Pearson Geometry Common Core, 2011 View details

Chapter Review

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Exercise 30 Page 74

Use the Distance Formula.

1.4 units

Practice makes perfect

To determine the distance between two points, we use the Distance Formula. The coordinates of the given points are A(-1,5) and B(0,4).

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

SubstitutePoints

Substitute ( -1,5) & ( 0,4)

AB=sqrt(( 0-( -1))^2+( 5- 4)^2)

a-(- b)=a+b

AB=sqrt((0+1)^2+(5-4)^2)

Add and subtract terms

AB=sqrt(1^2+1^2)

Calculate power

AB=sqrt(1+1)

Add terms

AB=sqrt(2)

Use a calculator

AB = 1.414213...

Round to 1 decimal place(s)

AB≈1.4

The distance between A and B is approximately 1.4units.

Subchapter links

Exercises p.70-74