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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 34 Page 54

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

≈9.4 units

Practice makes perfect

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

Everett is located at (-3,5) and Fairfield is found at (-8,-3). 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 ( -8,-3) & ( -3,5)

d=sqrt(( -3-( -8))^2+( 5-( -3))^2)

a-(- b)=a+b

d=sqrt((-3+8)^2+(5+3)^2)

Add terms

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

Calculate power

d=sqrt(25+64)

Add terms

d=sqrt(89)

Use a calculator

d≈9.4

Fairfield is approximately 9.4 units from Everett.

Subchapter links

Lesson Check p.53

Practice and Problem-Solving Exercises p.54-56

Standardized Test Prep p.56

Mixed Review p.56