Question

The distance from a point to two is five units. The point could be located at _____.

-7
6
-6
-3

Answer 1

To solve the problem, we need to determine the points that are a distance of 5 units from two specified points. However, since the two points are not specified in the problem statement, I'll assume that they refer to two specific points on a number line, for instance, 0 and 0 (the same point), or two distinct points like -5 and 5.

If we interpret "the distance from a point to two" as the distance from an unknown point \( x \) to two fixed points, we can express this mathematically as follows:

1. If referring to point 0, we would set up the equation:
\[
|x - 0| = 5
\]
which yields two potential solutions:
\[
x = 5 \quad \text{or} \quad x = -5
\]

2. If instead, the point being referred to is \( 2 \) on the number line, we'd have:
\[
|x - 2| = 5
\]
leading to:
\[
x - 2 = 5 \implies x = 7
\]
\[
x - 2 = -5 \implies x = -3
\]

So, if the distance is 5 from the point 2, then one solution is \( -3 \).

In the list you provided (-7, 6, -6, -3), the only solution that fits the criteria if considering point 2 is:

**-3**

If the question refers to a different set of points, please clarify these points for accurate results.