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  • 22-10-2019
  • Mathematics
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Does the line y=5 intersect the parabola y= 4−x².Why or why not? Draw the graphs on the same set of axes.

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nuuk nuuk
  • 22-10-2019

Answer:No

Step-by-step explanation:

given

Parabola [tex]y=4-x^2[/tex]

[tex]y-4=-x^2[/tex]

It is parabola with vertex (0,4)

symmetrical about Y axis and facing downward

y= 5

[tex]5-4=-x^2[/tex]

[tex]x^2=-1[/tex]

not possible

So y=5 do not intersect the given Parabola as there is no real value of x which satisfy the above equation

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