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Chapter 13: Q. 12 (page 526)

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

12. (-4, -1) and (-4, 3)

Short Answer

Expert verified

The distance is 50.

Step by step solution

01

Step-1 – Given

The given points are (-4, -1) and (-4, 3).

02

Step-2 – To determine

We have to find the distance between the two points.

03

Step-3 – Calculation 

Letx1,y1=鈭�4,鈭�1andx2,y2=鈭�4,3

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

d=鈭�4鈭�鈭�42+3鈭�鈭�12d=鈭�4+42+3+12d=02+42d=0+16d=16d=4

Hence, the required distance is 4.

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Most popular questions from this chapter

Write an equation of the circle that has the given center and radius.

C(鈭�4,鈭�7)鈥夆赌夆赌�;鈥夆赌夆赌�r=5.

Find the center and radius of each circle.

x+72+y鈭�82=3625

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

  1. (5, 4) and (1, -2)

In Exercises 20 and 21 show that points P, Q, and R are collinear by showing that PQ and OR have the same slope.

P(-1, 3) Q(2, 7) R(8, 15)

Tell whether each expression is positive or negative for the line shown:

a.鈥夆赌�y2鈭�y1b.鈥夆赌�x2鈭�x1c.鈥夆赌�y2鈭�y1x2鈭�x1
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