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Alekssandra [29.7K]
2 years ago
5

Which equation represents the vertical line passing through (14,-16)?.

Mathematics
1 answer:
Anarel [89]2 years ago
6 0

The vertical line shall have its x-coordinate equal to 14 because the points (14, -16) is on this vertical line.

<u>Given the following data:</u>

  • Points (x, y) = (14, -16)

To find an equation of the vertical line that passes through the given points (14, -16):

The standard form of an equation of line is given by the formula;

y=mx+b

<u>Where:</u>

  • x and y are the points.
  • m is the slope.
  • b is the intercept.

For any equation of a straight line, the x-coordinate of a vertical line will always be the same irrespective of the point chosen on the vertical line. because a vertical line is perpendicular to the x-axis.

Deductively, the vertical line shall have its x-coordinate equal to 14 because the points (14, -16) is on this vertical line.

Read more: brainly.com/question/2707920

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Answer:

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Step-by-step explanation:

A. To find the solutions to the quadratic equation x^2+9=0 you must:

\mathrm{Subtract\:}9\mathrm{\:from\:both\:sides}\\\\x^2+9-9=0-9\\\\\mathrm{Simplify}\\\\x^2=-9\\\\\mathrm{For\:}x^2=f\left(a\right)\mathrm{\:the\:solutions\:are\:}x=\sqrt{f\left(a\right)},\:\:-\sqrt{f\left(a\right)}\\\\x=\sqrt{-9},\:x=-\sqrt{-9}

x=\sqrt{-9} = \sqrt{-1}\sqrt{9}=\sqrt{9}i=3i\\\\x=-\sqrt{-9}=-\sqrt{-1}\sqrt{9}=-\sqrt{9}i=-3i

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To factor x^2+9:

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Since both terms are perfect squares, factor using the difference of squares formula

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x^2+9=x^2+9i^2=\left(-3i+x\right)\left(3i+x\right)

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