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Chapter 14: Q33. (page 582)

In each exercise Rk:A→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−y1x2−x1

03

Step 3. Calculation.

The line of the given points can be obtained as,

m=y2−y1x2−x1m=4−43−1m=0y=cwherecisconstant

04

Step 4. Conclusion.

Therefore, the equation is obtained as,

y=c

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Most popular questions from this chapter

A rolling ball that does not have much spin will bounce off a wall so that the two angles that the path forms with the wall are congruent. Thus, to roll the ball from B off the wall shown and into hole H, you need to aim the ball so that ∠1≅∠2.

  1. Let H' be the image of H by reflection in the wall. BH'→ Intersects the wall at P. Why is ∠1≅∠3? Why is ∠3≅∠2? Why is ∠1≅∠2? You can conclude that if you aim for H', the ball will roll to H.
  2. Show that the distance travelled by the ball equals the distance H.

If fx=x2+1, find f3 and f-3. Is f a one-to-one function?

Draw the x-axis and y-axis and the vertical line jwith equation x=5. Find the images under Rj of the following points.

  1. 4,3
  2. 0,-2
  3. -3,1
  4. x,y

If hx=6x+1, find h12.Is h a one-to-one function?

For each transformation given:

  1. Plot the three points A0,4, B4,6, and C2,0 and their images A', B', and C' under the transformation.
  2. State whether the transformation appears to be an isometry.
  3. Find the pre image of 12,6.

H:x,y→-x,-y
See all solutions

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