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Chapter 13: Q. 7 (page 526)

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

(-8, 6) and (0, 0)

Short Answer

Expert verified

The distance is 10.

Step by step solution

01

Step-1 – Given

The given points are (-8, 6) and (0, 0).

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=鈭�8,6andx2,y2=0,0.

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

d=0鈭�鈭�82+0鈭�62d=0+82+0鈭�62d=82+鈭�62d=64+36d=100d=10

Hence, the required distance is 10.

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Most popular questions from this chapter

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

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

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

(0, 0); (5, 1)

In Exercises 27-32 find and then compare lengths of segments.

Triangles JAN and RFK have vertices J(-2, -2), A(4, -2), M(2, 2), R(8, 1), F(S, 4), and K(6, 3). Show that triangle JAN is similar to triangle RFK.

A ine through H(3, 1) and J(5, a) has positive slope and makes a 60掳 angle measured counterclockwise with the positive x-axis. Find the value of a.

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?

16. A(3, 4), B(-3, 0), C(-1, 1)
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