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Pearson Geometry Common Core, 2011

PG

Pearson Geometry Common Core, 2011 View details

7. Midpoint and Distance in the Coordinate Plane

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Exercise 32 Page 54

Find the coordinates of the cities on the map and use the Distance Formula.

5 units

Practice makes perfect

To find the distance from Brookline to Charleston, let's begin by finding the coordinates of both of these cities on the given map.

Brookline is located at (8,2) and Charleston is found at (4,5). Now, we can use the Distance Formula to find the distance between the two cities. d=sqrt((x_2-x_1)^2+(y_2-y_1)^2) Let's substitute these points in the formula and simplify.

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

SubstitutePoints

Substitute ( 4,5) & ( 8,2)

d=sqrt(( 8- 4)^2+( 2- 5)^2)

Subtract terms

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

Calculate power

d=sqrt(16+9)

Add terms

d=sqrt(25)

Calculate root

d=5

Charleston is 5 units from Brookline.

Subchapter links

Lesson Check p.53

Practice and Problem-Solving Exercises p.54-56

Standardized Test Prep p.56

Mixed Review p.56