How do you write an absolute value equation that could be used to express the distance from point P to the origin is 5 more than twice the value of P?

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Answer 1 · 2015-04-03T06:40:59

The answer is: $| x | = 2 x + 5$ $abs(x) = 2x+5$

Given:

$P$ $P$ is a point on the $x$ $x$ -axis.
The distance between the origin and $P$ $P$ is $5$ $5$ more than twice of the value of $P$ $P$

Absolute value operator gives us the distance from any point to the origin.

For example:

$| 5 | = | - 5 | = 5$ $abs(5) = abs(-5) = 5$

Lets say that $P$ $P$ is $(x, 0)$ $(x,0)$

The distance from point $P$ $P$ to origin is:

$(x, 0) - (0, 0) = 2 x + 5$ $(x,0) - (0,0) = 2x+5$

$(x, 0) - (0, 0) \equiv | P O |$ $(x,0) - (0,0) -= abs(PO)$

So the result is:

$| x | = 2 x + 5$ $abs(x) = 2x+5$