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xz_007 [3.2K]
3 years ago
13

If an image is to be reflected in the line y = x and the x-axis, does the order of the reflections affect the final image? Expla

in.
Mathematics
1 answer:
OverLord2011 [107]3 years ago
4 0

Answer:

Affects

Step-by-step explanation:

Consider point (2,-1).

1. Reflect it in the line y=x, then the image point will have coordinates (-1,2). Now reflect it in the x-axis, then the image point will have coordinates (-1,-2).

2. Reflect the point (2,-1) in the x-axis. Its image is point (2,1). Reflect this point in the line y=x, then its image will be point (1,2).

Since images in 1st case and 2nd case differ, the order affects the final image.

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Which of the following is true? |−8| < 6 |−6| < |−8| |8| < |−6| |−6| < −8
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The rational expression fraction numerator x squared plus 6 x minus 7 over denominator x squared plus 9 x plus 14 end fraction s
Thepotemich [5.8K]

The simplification of rational expression (x²+6x-7)/(x²+9x+14) gives

(x-1)/(x+2). 

<h3>What is factorisation?</h3>

A polynomial or integer is simply resolved into components that, when multiplied together, produce the original or starting polynomial or integer.

  • The factorization method allows us to simplify any algebraic and quadratic equation by representing the equations as that of the product or factors rather than by expanding the brackets.
  • Any equation can have an integer, a variable, or the algebraic expression itself as a factor.

The given expression is -

= (x²+6x-7)/(x²+9x+14)

Factorising both numerator and denominator;

= {x+7x-x-7} / {x+7x+2x+14}

= {x(x+7)-(x+7)} / {x(x+7)+2(x+7)}

= {(x+7)(x-1)} / {(x+7)(x+2)}

Cancel the (x+7),

= (x-1)/(x+2)

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To know more about factorisation, here

brainly.com/question/11579257

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