Pregunta
Which of these points are 5 units away from
? Select all that appl
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Ask by Weston Montgomery. in the United States
Mar 10,2025
Solución de inteligencia artificial de Upstudy
Respuesta verificada por el tutor
Responder
The points
and
are 5 units away from
.
Solución
We will use the distance formula to find the distance between a given point
and the center
. The distance formula is
We want the distance
to equal 5. Thus, we need
Squaring both sides gives
Now, we will check each given point.
-
For
: -
Compute
: . -
Compute
: . -
Then,
-
Since
, the point is units away.
-
-
For
: -
Compute
: . -
Compute
: . -
Then,
-
Since
, the point is units away.
-
-
For
: -
Compute
: . -
Compute
: . -
Then,
-
Since
, the point is not units away.
-
Thus, the points that are
units away from
are
and
.
Respondido por UpStudy AI y revisado por un tutor profesional
Como
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Bonus Knowledge
To determine which points are 5 units away from
, we can use the distance formula:
Setting
gives us the equation:
Now, let’s plug in each point:
-
For
: -
For
: -
For
:
Thus, the points that are 5 units away from
are
and
.

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