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Chapter 14: Q33. (page 582)

In each exercise Rk:A鈫�A'. Find an equation of line k.

Short Answer

Expert verified

The equation is obtained as,

y=c

Step by step solution

01

Step 1. Given Information.

The given points are 1,4and3,4.

02

Step 2. Concept Used.

y=mx+cwherem=y2鈭�y1x2鈭�x1

03

Step 3. Calculation.

The line of the given points can be obtained as,

m=y2鈭�y1x2鈭�x1m=4鈭�43鈭�1m=0y=cwherecisconstant

04

Step 4. Conclusion.

Therefore, the equation is obtained as,

y=c

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Most popular questions from this chapter

Use the transformation T:x,y鈫�x+1,y+2 in this exercise.

  1. Plot the following points and their images on the chalkboard: A0,0, B3,4, C5,1, and D-1,-3.
  2. Find AB, A'B', CD, and, C'D'.
  3. Does this transformation appear to be an isometry?
  4. What is the pre image of 0,0? of 4,5?

Explain why each of the correspondences pictured below is not a one-to-one mapping from set A to set B.

Complete the following. Assume points D, C, U, W, X, and Y are obtained by reflection in link k or j.

Rk:BC鈫�鈫�?炉

Complete the following. Assume points D, C, U, W, X, and Y are obtained by reflection in link k or j.

Rj:ST鈫�鈫�?炉

In Exercise 18-20, refer to the diagrams on page 578. Given the reflection Rm:PQ鈫�鈫�P'Q'鈫�, write the key steps of a proof that PQ=P'Q'for each case.

Case 2.
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