Question
Find all points having an
-coordinate of 4 whose distance from the point
is 10 .
The point(s) is(are)
.
(Type an ordered pair. Use a comma to separate answers as needed.)
The point(s) is(are)
(Type an ordered pair. Use a comma to separate answers as needed.)
Ask by Peterson Santiago. in the United States
Jan 23,2025
Upstudy AI Solution
Tutor-Verified Answer
Answer
The points are (4,7) and (4,-9).
Solution

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Extra Insights
To find the points with an
-coordinate of 4 that are 10 units away from the point
, we can use the distance formula. The distance
between two points
and
is given by:
In our case, we have:
Plugging in the values, we get:
This simplifies to:
Now, squaring both sides:
Taking the square root of both sides gives us:
Thus, the points we found are:
The point(s) is(are)
.