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Anna11 [10]
3 years ago
7

Find all of the points of the form (x, −x) which are 7 units from the origin.

Mathematics
2 answers:
aksik [14]3 years ago
6 0

The equation will be

\\ \sf\longmapsto \sqrt{x^2+y^2}=7

\\ \sf\longmapsto x^2+y^2=7

  • If y be 0

\\ \sf\longmapsto x^2+0=7^2

\\ \sf\longmapsto x^2=49

\\ \sf\longmapsto x=\sqrt{49}

\\ \sf\longmapsto x=\pm 7

Now the points are

  • (7,0)
  • (-7,0)
Morgarella [4.7K]3 years ago
3 0

Answer:

  • (-7, 0) and (7, 0)

Step-by-step explanation:

<u>All the points that are 7 units from the origin are on the circle:</u>

  • x² + y² = 7²

<u>The maximum and minimum values of x obtained when y = 0:</u>

  • x² = 7²
  • √x² = √7²
  • x = ± 7

So

  • min x = -7 and
  • max x = 7

<u>The points are:</u>

  • (-7, 0) and (7, 0)
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