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McGraw Hill Integrated II, 2012 View details

4. Rectangles

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Exercise 64 Page 511

Use the Distance Formula.

7sqrt(2)

Practice makes perfect

We want to find the distance between the points (- 4,3) and ( 3,- 4). To find this distance, we can use the Distance Formula. d=sqrt((x_2-x_1)^2+(y_2-y_1)^2) Let's substitute the given coordinates, (- 4,3) and (3, - 4), into this formula and simplify.

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

SubstitutePoints

Substitute ( - 4,3) & ( 3,- 4)

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

SubTerms

Subtract terms

d=sqrt(7^2+(- 7)^2)

CalcPow

Calculate power

d=sqrt(49+49)

AddTerms

Add terms