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Chapter 13: Q. 11 (page 526)

Find the distance between the points named. Use any method you choose.

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

Short Answer

Expert verified

The distance is50.

Step by step solution

01

Step-1 – Given

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

02

Step-2 – To determine

We have to find the distance between the two points.

03

Step-3 – Calculation 

Letx1,y1=鈭�2,3andx2,y2=3,鈭�2

Using the distance formula d=x2鈭�x12+y2鈭�y12d=distancewe get:

d=3鈭�鈭�22+鈭�2鈭�32d=3+22+鈭�2鈭�32d=52+鈭�52d=25+25d=50

Hence, the required distance is 50.

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Most popular questions from this chapter

a. List twelve points, each with integer coordinates, that are 5 units from (-8, 1).

b. Find an equation of the circle containing these points.

In Exercises 35-38 find an equation of the circle described and sketch the graph.

The circle has center (-2, -4) and passes through point (3, 8).

Find two values of k such that the points (-3, 4), (0, k), and (k, 10) are collinear.

Given points A, B, and C. Find AB, BC, and AC. Are A, B, and C collinear?

If so, which point lies between the other two?

13. A(0, 3), B(-2, 1), C(3, 6)

In Exercises 16-19 a point P on a line and the slope of the line are given. Sketch the line and find the coordinates of two other points on the line.

P(0, -5); slope =鈭�14.
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