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Chapter 14: Q31. (page 581)

A line with equation y=x+5 is reflected in the x-axis. Find an equation of the image line.

Short Answer

Expert verified

The image line of the given equation is obtained as,

y=-x-5

Step by step solution

01

Step 1. Given Information.

The given equation is y=x+5

02

Step 2. Concept Used.

When the equation is reflected about the x-axis x,y becomes x,-y.

03

Step 3. Calculation.

The image line of the given equation can be obtained as,

Replacing y with -y in the given equation.

−y=x+5y=−x−5

04

Step 4. Conclusion.

Therefore, the image line of the given equation is obtained as,

y=-x-5

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Most popular questions from this chapter

  1. If f:x→x, find the images of -3, 6, and -6.
  2. Is f a one-to-one function? Explain.

Prove that you can see all of yourself in a mirror that is only half as tall as you are. (Hint: Study the diagram on page 582.)

Write the coordinates of the image of each point by reflection in,

  1. The x-axis
  2. The y-axis
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Point D.

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  3. The pre image of 2,3 is ?¯,?¯.

A piece of paper is wrapped around a globe of the Earth to form a cylinder as shown. O is the center of the Earth and a point P of the globe is projected along OP→to a point P'of the cylinder.

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