Answer:
The horizontal distance between the two x-intercepts is 7 units.
Explanation:
What are the x-intercepts?
The x-intercepts are the points at which the graph of a function or equation crosses the x-axis. At these points, the value of y is zero.
Therefore, to find the x-intercepts of the given expression, set the expression equal to zero and solve for x:
(x - 3)(x + 4) = 0
This equation is true if and only if either x - 3 = 0 or x + 4 = 0, which means the x-intercepts are at x = 3 and x = -4.
The horizontal distance between these two points is the absolute value of the difference between the x-coordinates of the x-intercepts:
|3 - (-4)| = |3 + 4| = 7
Therefore, the horizontal distance between the two x-intercepts is 7 units.