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Chapter 13: Q. 6 (page 526)

Use the distance formula to find the distance between the two points.

  1. (3, 2) and (5, -2)

Short Answer

Expert verified

The distance is 20.

Step by step solution

01

Step-1 – Given

The given points are (3, 2) and (5, -2).

02

Step-2 – To determine

We have to find the distance between the two points using the distance formula.

03

Step-3 – Calculation 

Letx1,y1=3,2andx2,y2=5,鈭�2

Using the distance formula

d=x2鈭�x12+y2鈭�y12d=distanceWe get:

d=5鈭�32+鈭�2鈭�22d=22+鈭�42d=4+16d=20

Hence, the required distance is 20.

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Most popular questions from this chapter

Sketch the graph of

x鈭�32+y+42=36

12, Find an equation of the circle that has the given center and radius

a. Center (2, 5); radius 3.

b. Center (-2, 0); radius 5.

c. Center (-2, 3); radius 10.

d. Center (j, 4); radius n.

Find the slope of the line through the points named. If the slope is not defined, write not defined.

(6, -6); (-6, -6)

Find the slope of the line through the points named. If the slope is not defined, write not defined.

(7, 2); (2, 7)

In Exercises 4-9 state:

a. the coordinates of T.

b. the lengths of the legs of the right triangle.

c. the length of the segment shown.
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