4.2.H: Homework

Exercise 1: Use the Distance Formula

In the following exercises, find the distance between the points. Write the answer in exact form and then find the decimal approximation, rounded to the nearest tenth if needed.

a. \((2,0)\) and \((5,4)\)

b. \((-4,-3)\) and \((8,2)\)

c. \((-1,4)\) and \((2,0)\)

d. \((1,-4)\) and \((6,8)\)

e. \((-3,-5)\) and \((0,1)\)

f. \((3,-1)\) and \((1,7)\)

Answer

a. \(d=5\)

b. \(13\)

c. \(5\)

d. \(13\)

e. \(d=3 \sqrt{5}, d \approx 6.7\)

f. \(d=\sqrt{68}, d \approx 8.2\)