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3 years ago

Which numbers are 4 units from -2 on the number line

Mathematics

1 answer:

Artemon [7]3 years ago

4 0

Let the number be x

Then the absolute value of the number from -2 should be 4

$|x--2|=4$

$|x+2|=4$

So either

$(x+2)=4$

$x=4-2=2$

$-(x+2)=4$

$x+2=-4$

$x=-4-2$

$x=-6$

[tex] The numbers are 2 and -6 [/tex[

They are four units away from -2 on the number line

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The transformation rule to reflect across the y - axis is $(x,y)\rightarrow (-x,y)$

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The transformation rule to reflect across the x - axis is $(x,y)\rightarrow (x,-y)$

Substituting the point (2,1) in the rule, we get;

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The transformation rule to rotate about 180° is $(x,y)\rightarrow (-x,-y)$

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